True or False - To say that an aircraft carrier was traveling S/SW at 200 mph is an example of VELOCITY.

Answers

Answer 1

It is true to say that an aircraft carrier traveling S/SW at 200 mph is an example of velocity.

What is velocity?

Velocity is a vector quantity that denotes the rate of change of position with respect to time, combining speed with a directional component.

Speed and velocity can be a little confusing as they are often used interchangeably. However, the difference between speed and velocity is that speed gives us an idea of how fast an object is moving, whereas velocity not only tells us its speed but also tells us the direction the body is moving in.

This suggests that speed is a scalar quantity but velocity is a vector quantity and this serves as the major difference between them.

Therefore, the above statement is true.

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Related Questions

Drag each label to the correct location on the table. Sort the units based on the measurement system they're used in. kilometer milligram inch kelvin Fahrenheit Ounce yard SI System US Customary System​

Answers

Answer:

The correction is the state of mind being for the Fahrenheit that is calculator from anarchy

Explanation:

Answer:

Si system is :kilo miligram kelvin

us system is: Fahrenheit Ounce yard inch

Explanation:

hewo (´▽`ʃ♡ƪ)


if u report your a b/i/t/c/h

Answers

Answer:

hai >.<

Explanation:

Answer:

hello!

Explanation:

~evita

Mental and emotional health can be improved through exercise.


Please select the best answer from the choices provided.

T
F

Answers

The statement"Mental and emotional health can be improved through exercise." is a true statement

Option A is correct

What is exercise?

Exercise is simply defined as the act of putting patience into practice, action, or practice. Regular physical activity can help you strengthen your muscles and increase your endurance.

In conclusion, Mental and emotional health can be improved through exercise.

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Answer:   True.           Exercise is not only good for physical health but also mental and emotional health. It helps in reducing stress, anxiety, depression, and boosting self-esteem, cognitive function, and overall mood. Regular exercise can lead to the release of endorphins that promote feelings of happiness and well-being. Hence, mental and emotional health can be improved through exercise.

Explanation:

i took the test

In a Young's double-slit experiment the wavelength of light used is 485 nm (in vacuum), and the separation between the slits is 1.0 × 10-6 m. Determine the angle that locates (a) the dark fringe for which m = 0, (b) the bright fringe for which m = 1, (c) the dark fringe for which m = 1, and (d) the bright fringe for which m = 2.

Answers

a) The angle for the dark fringe with m = 0 is θ = 0 degrees.

b) θ = arcsin(λ / d) = arcsin(485 × 10^(-9) m / 1.0 × 10^(-6) m)

c) θ = arcsin(λ / d) = arcsin(485 × 10^(-9) m / 1.0 × 10^(-6) m)

d) θ = arcsin(2 × λ / d) = arcsin(2 × 485 × 10^(-9) m / 1.0 × 10^(-6) m)

To determine the angles that locate the fringes in a Young's double-slit experiment, we can use the equation:

sin(θ) = mλ / d

where:

θ is the angle

m is the order of the fringe

λ is the wavelength of light

d is the separation between the slits

Given:

Wavelength (λ) = 485 nm = 485 × 10^(-9) m

Separation between the slits (d) = 1.0 × 10^(-6) m

(a) For the dark fringe with m = 0:

sin(θ) = 0 × λ / d = 0

Therefore, the angle for the dark fringe with m = 0 is θ = 0 degrees.

(b) For the bright fringe with m = 1:

sin(θ) = 1 × λ / d

θ = arcsin(λ / d) = arcsin(485 × 10^(-9) m / 1.0 × 10^(-6) m)

(c) For the dark fringe with m = 1:

sin(θ) = 1 × λ / d

θ = arcsin(λ / d) = arcsin(485 × 10^(-9) m / 1.0 × 10^(-6) m)

(d) For the bright fringe with m = 2:

sin(θ) = 2 × λ / d

θ = arcsin(2 × λ / d) = arcsin(2 × 485 × 10^(-9) m / 1.0 × 10^(-6) m)

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Which action would help reduce global warming?- Eat less red meat so fewer cattle need to be raised.- Ride a bicycle rather than walk to school.- Clear more forests to produce more farmland.- Use more fertilizers to increase crop production.

Answers

Eating less red meat so fewer cattle need to be raised would help reduce global warming.

What are the precautions to reduce by global warming?

The production of red meat, particularly beef, is a major contributor to greenhouse gas emissions. Cattle produce methane, a potent greenhouse gas, and the production of feed for cattle also requires large amounts of energy, water and land. Additionally, the clearing of forests for grazing land and feed production also contributes to carbon emissions.

Riding a bicycle rather than walking to school would also help reduce global warming because it would decrease the amount of CO2 emissions produced by cars and other vehicles.

Clearing more forests to produce more farmland and using more fertilizers to increase crop production would not help to reduce global warming, as the clearing of forests causes a release of stored carbon into the atmosphere and the use of fertilizers and pesticides also has an environmental impact.

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in terms of radio wave signals, which term describes the impact of thick walls and ceilings?

Answers

The term that describes the impact of thick walls and ceilings on radio wave signals is attenuation. Attenuation refers to the loss of signal strength or energy as it travels through a medium, such as a wall or ceiling.

The thicker the material, the higher the level of attenuation, resulting in weaker radio wave signals on the other side of the barrier.

Attenuation refers to the reduction in the strength or intensity of a signal as it travels through a medium or encounters obstacles. In the context of radio wave signals, thick walls and ceilings can act as barriers or obstacles that obstruct the transmission of radio waves. As radio waves encounter these physical barriers, they can be absorbed, reflected, or refracted, leading to a decrease in signal strength.

Thick walls and ceilings tend to be denser and more opaque to radio waves compared to open spaces or thinner materials. This increased density and opacity result in greater attenuation of the radio waves passing through them. The higher the attenuation, the weaker the signal becomes after passing through the barriers.

The extent of attenuation depends on factors such as the thickness and composition of the walls and ceilings, the frequency of the radio waves, and the distance between the transmitter and receiver. In some cases, the attenuation caused by thick walls and ceilings may require the use of additional signal amplification or the installation of repeaters or signal boosters to maintain an adequate signal strength.

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what experimental problems would you encounter if you attempted to determine the concentration of the metal ions in solutions of each of the following reagents

Answers

We know that the following equation from Beer-Lambert Law:

A = ε.c.l

where,

A = absorbance of the radiant light

ε = molar absorptivity of the dissolved substance

c = concentration of the substance

I = path length in centimeters

Now, the values of ε's are given but we are not informed with the values of the absorbances which are required to calculate the concentrations (given path length 1 cm).

So, this is the experimental problem we might encounter.

In rest the substance does not absorb in the visible region. So the most frequently used spectrometer can not be used here. Rather we need to first determine in which region of electromagnetic spectrum this substance absorbs.

Therefore, this one has one different experimental problem than the previous one.

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Put the waves in order from shortest to longest wavelength

Put the waves in order from shortest to longest wavelength

Answers

Answer:

b, a, c

Explanation:

The middle one has the shortest wavelength, then it's the top one and the last one has the longest wavelength.

9) when the distance was one fourth as much, what happened to the force between the objects?

in this case (G=6.67E-11)

Answers

Hi there!

Recall Newton's Law of Universal Gravitation:

\(\large\boxed{F_g = \frac{Gm_1m_2}{r^2}}\)

G = Gravitational Constant

m1, m2 = mass of objects (kg)

r = distance between objects (m)

There is an INVERSE-SQUARE relationship between the gravitational force and the distance between the objects, so:

\(F_g = \frac{Gm_1m_2}{(\frac{1}{4}r)^2} = F_g = \frac{Gm_1m_2}{\frac{1}{16}r^2}\)

\(= 16G\frac{m_1m_2}{r^2} = 16F_g\)

Thus, the gravitational force between the objects would INCREASE by a factor of 16.

What Law and explain why.

An airplane turns on its jets to accelerate down a runway.

Answers

Answer:Newton's 2nd law

Explanation:Newton's 2nd law also states that the rate at which an object changes speed is proportional to the force that is exerted. Engines provide thrust and accelerate a plane forward along the runway. If the engines supply a small force, only a small acceleration will result.

6. Compare Which of the
following can carry the
most current?
a. 9-V battery
b. 220-V electrical outlet
c. 12-V battery
d. 110-V electrical outlet

Answers

answer is D. Hope it helps :)

water evaporates from a lake into the air, forming clouds. the clouds eventually form rain and it falls to the ground. in which spheres does this cycle happen?

Answers

The cycle of water or H₂O evaporating from lake and other bodies of water forming clouds and rain back to the surface of the earth happens in hydrosphere and stratosphere.

Hydrosphere is defined as water that is on the earth including surface of the planet such as ocean, lake and ice, underground source of water such as groundwater, as well as moisture in the air. The water, also known as H₂O gets heated up by the sun, evaporates into the air forming clouds happen in the atmosphere of the earth, specifically stratosphere, where most of the clouds are forming. After the clouds can no longer hold the accumulation of vaporization of the water, it will eventually get released back into the earth in the form of rain or snow.

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A 2.99 x 10-6 C charge is moving in a
direction 10.0° from the Earth's
magnetic field (5.00 x 10-5 T). If the
force on it is 2.14 x 10-8 N, how fast is
it moving?
[?] m/s

No links please

Answers

another answer for acellus is 143 m/s it worked for me

The speed of the charge is approximately 2.857 m/s.

To find the speed of the charge, we can use the formula for the magnetic force on a charged particle moving through a magnetic field:

Force (F) = q * v * B * sin(θ)

Where:

F is the force on the charge (given as 2.14 x \(10^-8\)  N),

q is the charge of the particle (given as 2.99  x \(10^-6\)C),

v is the speed of the charge (what we want to find),

B is the magnitude of the magnetic field (given as 5.00 x \(10^-5\) T),

θ is the angle between the direction of motion and the magnetic field (given as 10.0°).

First, we need to convert the angle from degrees to radians:

θ (in radians) = 10.0° * (π / 180°) ≈ 0.174532925 radians

Now, we can rearrange the formula to solve for the speed (v):

v = F / (q * B * sin(θ))

Substitute the given values into the equation:

v = 2.14 x \(10^-8\) N / (2.99 x \(10^-6\) C * 5.00  x \(10^-5\)  T * sin(0.174532925))

v ≈ 2.857143 m/s

Therefore, the speed of the charge is approximately 2.857 m/s.

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The dots in these cylinders represent the shape and density of the particles in the different states of matter. Each dot represents a charged ion, so when two ions are together in pair, they represent a neutral atom.Which container most likely contains a plasma?

Answers

Answer:

Cylinder A has Plasma

Explanation:

The question is incomplete because the figure is not given in the question. I have attached the figure at the bottom for this question. Consult it for better understanding.

We can discard the options C and D as C shows a the characteristics of a liquid (fixed volume) while D shows the characteristics of a solid (fixed shape and volume)

Plasma is basically a state, which is a lot similar, yet different to the state of gas. Like gases, it doesn't have a fixed shape or volume, but unlike gases, it has only charged particles. A plasma can be considered as a charged gas.

As A shows charged ions, while in B, these ions are in pair and are neutralized, we can say that the charged gas is in A. Therefore, option A has plasma

The dots in these cylinders represent the shape and density of the particles in the different states

Answer:

C

Explanation:

answer on edge 2021-2022

Hope this helps!!

Question 1
What are the parts of Earth's mantle?
-Inner core, asthenosphere, lithosphere
-Lithosphere, asthenosphere, mesosphere
-Crust, lithosphere, asthenosphere
-Mesosphere, asthenosphere, troposphere

Question 2
Two students below described a type of Earth's outermost layer:
Student A: 5–12 kilometers deep
Student B: Makes up the sea floor
Which type of outermost layer did the students describe?
-They both described the oceanic type.
-They both described the continental type.
-Student A described the oceanic type and Student B described the continental type.
-Student A described the continental type and Student B described the oceanic type.

Question 3
If Earth was like a hardboiled egg, which part of Earth would the egg shell represent and why?
-Crust, as its depth is up to 3,000 kilometers
-Mantle, as its depth is up to 3,000 kilometers
-Mantle, as its depth is less than 100 kilometers
-Crust, as its depth is less than 100 kilometers

Question 4
What forces the inner core of Earth to remain solid?
-Lack of water
-Low temperature
-Low density
-High pressure

Answers

Answer:

1.- the lithosphere, asthenosphere, and mesosphere.

2.- They both described the oceanic type.

3.- Crust, as its depth is less than 100 kilometers

4.- High pressure

☺️

Convert 250mm to kilometers using conversion factor

Answers

Answer:

0.00025 kilometers

Explanation:

divide the length value by 1e+6

Answer:

250 mm = 0.00025 km.

Explanation:

250 mm equal 0.00025 km

Conversion details

To convert mm to km use the following formula:

1 mm equals 0.000001 km

So, to convert 250 mm to km, multiply 0.000001 by 250 i.e.,

250 mm = 0.000001 * 250 km = 0.00025 km

(hope this helps can i plz have brainlist :D hehe)

Already moving at 8 m/s , wendy pushes yasmine in her sled with a diagonal 300.0 n force. th coefficient of kinetic friction between yasmine's sled and the ground is 0.30. how fast will yasmine be going after wendy pushes him for 15.00m

Answers

Answer:

You must exert a force of 4.5 N on a book to slide it across a table.

Explanation:

What would have to happen for a feather and a ball to fall at the same rate

Answers

Answer:

They will NOT fall at the same rate because of the force. Hope this helps! Have a blessed day!

Explanation:

Answer:

On the off chance that no air obstruction is available, the pace of plunge relies just upon how far the item has fallen, regardless of how substantial the article is. This implies that two articles will arrive at the ground simultaneously in the event that they are dropped at the same time from a similar stature. ... In air, a quill and a ball don't fall at a similar rate. Therfor this is what happens when you drop a feather and a ball at the same rate.

Explanation:

A child on a sled has a combined mass of 97 kg. At the top of a 3.1 meter hill, the sled has a velocity of 8 m/s. Assuming there is no friction, what would the velocity of the child and sled be when they reach the top of a different 1.2 meter hill?

Answers

Answer:

Explanation:

This is an energy conservation problem in that the total energy available to a system s constant trhoughout the whole problem. That is, in equation form:

TE = PE + KE. This is a bit of a problem due to sig figs here, but I will keep with the rules for them all the way up til the end of the problem (I'll tell you when I veer away from the rule and why I did when I get there).

We first need to find the total energy available to the system and then use that value throughout the rest of the problem.

TE = PE + KE where

PE = mgh (mass times gravity times height of the object) and

KE = \(\frac{1}{2}mv^2\) (one-half times the mass of the object times the square of the velocity of the object). We solve for PE first, rounding to the correct number of sig figs:

PE = 97(9.8)(3.1) and

PE = 2900 J (2 sig figs here since all the numbers given have 2 sig figs in them). Now for KE

\(KE=\frac{1}{2}(97)(8.0)^2\) which, to 2 sig figs (notice I added a .0 to the 8), is

KE = 2200. This means that the total energy available to the sled throughout the whole trip is

TE = 2900 + 2200 so

TE = 5100 J

Now for the second part of the problem, the sled is at a different height so the PE is different, and we are asked to find the velocity at the top of this second hill. The total energy equation then is

5100 = PE + KE. Solving for PE first:

PE = (97)(9.8)(1.2) and, to 2 sig figs:

PE = 82. Now for the KE:

\(KE=\frac{1}{2}(97)v^2\). Plugging all of that into the total energy equation gives us:

\(5100=82+\frac{1}{2}(97)v^2\) and isolating the v:

\(v=\sqrt{\frac{2(5100-82)}{97} }\) and this is where I veer away from the sig figs. Doing the subtracting first, as we should, means that we would round to the hundreds place. Since the least significant place in the number 82 is the tens place and the least significant place in the 5100 is in the hundreds place, we round to the hundreds place. But I didn't keep to this rule because I'm not sure how adamant your physics teacher is about sig figs. I'll give you the answer that I would expect from my students (the right one) after I give you this one. I just simply subtracted 5100 - 82 and used the answer the calculator gave me which was 5018:

\(v=\sqrt{\frac{2(5018)}{97} }\) gives us that the velocity at the top of the 1.2 meter hill is

10.2 m/s.

Doing this the right way, using the rules for sig figs properly:

\(v=\sqrt{\frac{2(1500)}{97} }\) gives us, to 2 sig figs,

v = 1.0 × 10¹ m/s

Please please help you please help me with those questions please

Please please help you please help me with those questions please

Answers

Answer:

Answer:

Debt payments to income ratio = 22.74%

Explanation:

Debts payment to Income ratio is calculated as follows:

= \frac{Total\ debt\ payment}{Total\ Income}

Total Income

Total debt payment

We have total debts payment = auto loan payment 685 + student loan payment685+studentloanpayment375 + credit card payment 125 =125=1,185

Total Income = $5,210

Note: Credit card is also a kind of debt as firstly all the expenses are met during the period and then the payment is made at the end of the period, therefore, there is a loan in the period. Therefore, it will be considered for payment of debt.

Debt payments to income ratio = \frac{1,185}{5,210} = 22.74

5,210

1,185

=22.74

That means the debts are 22.74% of income.

25 POINTS please help!
What is average acceleration?
a. how fast a speed is changing over an interval of time
b. how fast velocity is changing at a specific instant in time
c. how fast a direction is changing at a specific instant
d. all of the above

Answers

Answer:

b

Explanation:

Answer: b

Explanation:

A gun recoils while fireing a bullet?give reason!!

Answers

Answer: When a bullet is fired from a gun, the gun gives off a force on the bullet in the forward direction. The force is called the action force. The bullet also gives an equal and opposite force on the gun in the backward direction. That's why when bullets fire out, the force from the bullet also creates a force back.

I NEED HELP PLEASE HELP ME!!!!!​

I NEED HELP PLEASE HELP ME!!!!!

Answers

Your knees bend because the force pulling on your upper half pulls your body down, and that causes your knees to bend. Your knees act like a spring and a cushion of sorts, so that the force on your lower legs isn't as intense. You should feel a harder impact if you don't bend your knees. Keeping your knees unbent means your muscles are more tense and that adds more wear and tear on your body. There isn't a cushion this time to slow down the force of the blow, and the stopping time is much more quick. The diagram will consist of the person, which you can draw as a rectangle, and arrows to show the various forces applied to the rectangle. The two main forces are the force of gravity pulling down and the normal force of the ground pushing up. There won't be any arrows pointing left or right. The normal force pushes up on your body. This force is the ground pushing up, as your diagram would show. The normal force is why people and objects don't fall through the floor. The normal force is the result of molecules repelling one another so objects don't go through each other. When your body hits the ground, specifically when your feet hit the ground, there is a net upward force of the ground pushing up. This causes the bounce, so to speak, that happens. The bounce is very subtle and sometimes easy to overlook. Using a bouncy ball, the bounce is very clear. With other objects, you may need to drop them from a large height. Try dropping a piece of plastic from the height of a counter top or table top, and you should see the plastic bounce up as it hits the ground. This is the normal force counteracting against the force of gravity pulling down. In terms of your feet/legs, the normal force pushes up and that's why you feel the sensation of landing (the height of the fall depends on if the sensation is painful or not).

Which is the United States Space Shuttle-derived heavy expendable launch vehicle being designed by NASA?​

Answers

Answer:

Space Launch System (SLS)

Explanation:

Space Launch System (SLS) is the United States Space Shuttle-derived heavy expendable launch vehicle being designed by NASA.

-TheUnknownScientist 72

This is primarily in reference to the "Seasons and Earth-sun relationship" video (view around 3:52) as well as the first half of the readings: a) Why does the equator receive equal day and night (12 hours each) regardless of the day of the year? Mention the circle of illumination. b) On December 22nd, within which range of latitudes is 24 hours of day-light experienced? Why?

Answers

a) Answer: On the equator, the Circle of Illumination divides the earth into two equal parts, with each part receiving 12 hours of daylight and 12 hours of darkness.

The equator receives an equal day and night (12 hours each) regardless of the day of the year due to the Circle of Illumination, which is a line that separates the day side of the earth from the night side of the earth. The Circle of Illumination separates the sunlit and dark sides of the earth. The earth's axis is at a 23.5-degree angle to the plane of its orbit around the sun, causing different latitudes to receive different amounts of sunlight throughout the year. On the equator, the Circle of Illumination divides the earth into two equal parts, with each part receiving 12 hours of daylight and 12 hours of darkness.

b)  Answer: The earth's axis is tilted at 23.5°, and during the December solstice, the North Pole is tilted away from the sun, causing the Arctic Circle and areas beyond it to experience a full day of daylight because the sun is above the horizon for 24 hours.

On December 22nd, between the latitudes of the Tropic of Cancer (23.5°N) and the Arctic Circle (66.5°N), 24 hours of daylight is experienced. This occurs because the earth's axis is tilted at 23.5°, and during the December solstice, the North Pole is tilted away from the sun, causing the Arctic Circle and areas beyond it to experience a full day of daylight because the sun is above the horizon for 24 hours.

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A hot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magnitude g/4. After time interval Δt, a crew member releases a ballast sandbag from the basket attached to the balloon.
How many seconds does it take the sandbag to reach the ground?

Answers

A hot-air balloon takes off from ground traveling vertically with constant upward acceleration of magnitude g/4, it takes 1/2 of the time interval Δt for the sandbag to reach the ground.

What is acceleration?

The rate of change of the velocity of an object with respect to time is called acceleration.

The time it takes for the sandbag to reach the ground can be calculated as: t = (2*v_f) / g

where t is time in seconds, v_f is  final velocity of the sandbag and g is 9.8 m/s^2.

upward velocity of the balloon at time t is : v_b = (g/4)*t

So, final velocity of sandbag (v_f) is also (g/4)*t.

t = (2*(g/4)*t) / g

t = (2*t) / 4

So, t = 1/2 * t

Hence,  it takes 1/2 of the time interval Δt for the sandbag to reach the ground.

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What plate boundaries are in the alps

Answers

Answer:

The Alps consist of parts of the European Plate, a former Jurassic to Lower Cretaceous ocean floor, and the Adria Plate as part of the African Plate. A complicated pattern of overthrusted nappes characterizes the tectonic style. As a general rule, tectonically higher nappes originate further south.

Hope it helps you

The Alps consist of parts of the European Plate, a former Jurassic to Lower Cretaceous ocean floor, and the Adria Plate as part of the African Plate. A complicated pattern of overthrusted nappes characterizes the tectonic style. As a general rule, tectonically higher nappes originate further south.

a photovoltaic panel of dimensions 2m x 4m is installed on the roof of a home. the panel is irradiated with a solar flux of

Answers

The answer is depends on the solar flux received by the photovoltaic panel. The amount of electricity generated by a photovoltaic panel is directly proportional to the solar flux it receives. The solar flux is typically measured in watts per square meter W/m².

Without knowing the solar flux received by the panel, we cannot determine the amount of electricity it will generate. However, assuming that the panel is of high quality and receives a sufficient amount of solar flux, a 2m x 4m panel could generate several kilowatts of electricity per day. This amount of electricity can significantly reduce the home's reliance on grid power and lower the electricity bill. Additionally, installing photovoltaic panels is an environmentally friendly way of generating electricity as it does not produce any emissions.

The solar energy incident on a photovoltaic panel is calculated using the formula. Energy incident (W) = Panel area (m²) × Solar flux (W/m²). Step by step explanation, 1. Calculate the panel area by multiplying its dimensions (2m x 4m) which results in 8m², 2. Multiply the panel area (8m²) by the solar flux value (W/m²) to obtain the energy incident on the panel (W). Once you provide the solar flux value, I can help you calculate the solar energy incident on the panel.

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A ball is thrown in the air at an angle of 60∘ above the ground with an initial speed of 10m/s. How long will it take for it to hit the ground if its initial height was 0m?
A) 0.90s
B) 1.02s
C) 1.77s
D) 2.04s

Answers

The ball will take approximately 1.77 seconds to hit the ground. To solve this problem, we can break down the motion of the ball into its horizontal and vertical components.

Horizontal Motion:

Since there is no acceleration in the horizontal direction, the ball will continue to move with a constant horizontal velocity throughout its trajectory. The initial velocity in the horizontal direction is given by:

Vx = V * cos(θ)

where V is the initial speed and θ is the launch angle. In this case, V = 10m/s and θ = 60°, so:

Vx = 10 * cos(60°) = 5m/s

Vertical Motion:

In the vertical direction, we need to consider the effects of gravity. The initial vertical velocity is given by:

Vy = V * sin(θ)

where V is the initial speed and θ is the launch angle. Substituting the values, we get:

Vy = 10 * sin(60°) = 8.66m/s

Now, we can calculate the time it takes for the ball to reach the ground. The vertical motion of the ball can be analyzed using the equation:

y = yo + Vyt - 0.5gt^2

where y is the vertical displacement, yo is the initial vertical position, Vy is the initial vertical velocity, g is the acceleration due to gravity, and t is the time.

Since the ball is thrown from ground level (yo = 0m), we can simplify the equation to:

y = Vyt - 0.5gt^2

At the moment the ball hits the ground, y = 0m. Plugging in the values, we have:

0 = (8.66m/s) * t - 0.5 * (9.8m/s^2) * t^2

Rearranging and solving the quadratic equation, we find that:

t = 1.77s (rounded to two decimal places)

Therefore, the ball will take approximately 1.77 seconds to hit the ground.

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a ship leaves a harbor and sails at 27.5∘ to the south of due east. after traveling 365 km, how far east is the ship from the harbor?

Answers

The ship is located 200.51 km east from the harbor.

The given angle of travel of the ship is 27.5° to the south of due east. To solve this question, we can use trigonometry, and more specifically, we can use the sin function because we know the opposite and hypotenuse side of the angle of travel of the ship. To get started, we need to break down the angle of travel as well as the displacement of the ship along the eastern axis. We know that the ship sailed at 27.5° to the south of due east and traveled a distance of 365 km. From this information, we can find the opposite and hypotenuse side of the triangle formed by the ship's angle of travel and displacement eastward. Let x be the displacement of the ship along the eastern axis.

Then, east displacement of ship = x

We know that the angle of travel of the ship = 27.5° south of due east. This implies that angle of travel of the ship from the eastern axis is 90° - 27.5° = 62.5°.

We know that opposite side of the ship's angle of travel is the southward displacement of the ship = 365 km.

This implies that the hypotenuse of the ship's angle of travel is given as: hypotenuse = 365 / sin(62.5°) = 398.89 km

Therefore, the displacement of the ship along the eastern axis = east displacement of the ship = hypotenuse × cos(62.5°)

Substituting hypotenuse = 398.89 km and angle of travel of ship from eastern axis = 62.5°, we get:

east displacement of ship = 398.89 × cos(62.5°) = 200.51 km

Therefore, the ship is located 200.51 km east from the harbor.

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