8. Paige dropped a ball out of a car while her friend Destiny was traveling at a velocity of 25
m/s. The ball underwent a deceleration of -2m/s² and rolled to a stop on the pavement. How
long did it take the ball to stop?

Answers

Answer 1

Answer:

I think it's 12.5s

Explanation:

Bare with me, because I just started physics, but I think I have the answer right... Hopefully.

starting with your knowns, we know velocity is 25 m/s from the problem. you also can figure out your acceleration, -2 m/s.

You're looking for the time it takes until the ball stops rolling. Your time is unknown.

Your equation would be a=v/t (acceleration being a, velocity being v, and time being t)

You have to solve for t giving you t=v/a

Now you have to fill in your numbers. t=25m/s divided by -2m/s^2

Your answer should end up as -12.5

You have to solve for your units, but since you're finding time it's pretty straightforward in knowing you're dealing with seconds.

Hope this helped... :) sorry if it didn't-


Related Questions

The experimenter had observed that some colors of birthday balloons seem to be harder to inflate than others. She ran this experiment to determine whether balloons of different colors are similar in terms of the time taken for inflation to a diameter of 7 inches. Four colors were selected from a single manufacturer. An assistant blew up the balloons and the experimenter recorded the times (to the nearest 1/10 second) with a stop watch. Questions for all the following cases: Please identify: Independent variable and number of level? Dependent variable? Study design (i.e., between or within-subject design)? Confounding variable (if any)? Violation of Validity (if measureable)?

Answers

Case: The effect of balloon color on inflation time.

Independent variable: Balloon color (categorical) with four levels (e.g., red, blue, green, yellow).

Dependent variable: Time taken for inflation to a diameter of 7 inches (continuous, measured in seconds).

Study design: Within-subject design (the same group of participants inflating balloons of different colors).

Confounding variable: Possible confounding variables could be the size or material of the balloons, as these factors might affect the inflation time. To control for this, it would be important to ensure that all balloons used in the experiment are of the same size and material.

Violation of Validity: A violation of validity could occur if the measurement of inflation time is not accurate or consistent (e.g., if the stopwatch used is unreliable or if the experimenter's recording of times is inconsistent). Ensuring proper measurement procedures and equipment would help mitigate this violation.

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Can somebody help me?

Can somebody help me?

Answers

The descriptions of the points in the heating curve of water are:

Leg A: solid warms from -40C to OCLeg B: meltingLeg C: Liquid warms from O °C to 100 °CLeg D: EvaporationLeg E: Water vapor warms from 100C

What is a heating curve for a substance?

A heating curve for a substance is a curve which show the phase changes that occur in the substance as the substance is heated over a period of time.

The addition of heat to substances result in an increase in volume and a change of state.

Water can exist in the three physical states of matter, which are solid, liquid, and gas.

A graph showing the changes that occur in water as heat is added to it is referred to as the heating curve of water.

Considering the heating curve of water shown, water exists first as a solid, then liquid, and finally a gas as heat is added to it.

The various descriptions of the point in the heating curve of water are as follows:

Leg A: solid warms from -40C to OC

Leg B: melting

Leg C: Liquid warms from O °C to 100 °C

Leg D: Evaporation

Leg E: Water vapor warms from 100C

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What is a cars acceleration in the direction of motion when velocity changes from 20. M/s to 60. M/s in 10. S

Answers

Answer:

Acceleration, \(a=4\ m/s^2\)

Explanation:

Given that,

Initial velocity, u = 20 m/s

Final velocity, v = 60 m/s

Time, t = 10 s

We need to find the acceleration of the car. It is equal to the change in velocity divided by time.

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{60-20}{10}\\\\a=\dfrac{40}{10}\\\\a=4\ m/s^2\)

So, the acceleration of the car is \(4\ m/s^2\).

use the following terms in the same sentence magnet magnetic force and magnetic pole

Answers

Answer:

The electrically charged gas particles are affected by magnetic forces.

For the past eleven years, the Sun's north geographic pole has also been home to its north magnetic pole

Explanation:

Tall Pacific Coast redwood trees (Sequoia sempervirens) can reach heights of about 100 m. If air drag is negligibly small, how fast is a sequoia cone moving when it reaches the ground if it dropped from the top of a 100 m tree?

Answers

To determine the speed at which a sequoia cone would hit the ground when dropped from the top of a 100 m tall tree, we can use the principles of free fall motion.

When air drag is negligible, the only force acting on the cone is gravity. The acceleration due to gravity, denoted as "g," is approximately 9.8 m/s² on Earth.

The speed (v) of an object in free fall can be calculated using the equation:

v = √(2gh),

where h is the height from which the object falls. In this case, h is 100 m.

Plugging in the values:

v = √(2 * 9.8 m/s² * 100 m) ≈ √(1960) ≈ 44.27 m/s.

Therefore, the sequoia cone would be moving at approximately 44.27 meters per second (m/s) when it reaches the ground.

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After landing on a distant exoplanet as a member of the Space Force Spec Ops Team one of your first tasks is to measure the gravity on the surface of the planet. Your weight feels heavier than on Earth, but that might just be the 80 kg spacesuit you are wearing. You pull out a 45.93 gram golf ball and drop it from eye level while recording the time it takes to hit the ground. You record 0.44 seconds for it to hit the ground. You have previously measured your eye level height to be 146 cm in preparation of this task. Using this information calculate the gravity on this new planet.

Answers

Answer:

The acceleration due to gravity of the planet is approximately 15.083 m/s²

Explanation:

The given information are;

The mass of the golf ball = 45.93 gram

The time it takes the golf ball to hit the ground 0.44 seconds

The height, s, from which the golf ball is dropped = 146 cm = 1.46 m  

The equation of motion for the golf ball can be expressed as follows;

s = u·t + 1/2·a·t²

Where;

s = 1.46 m

u = The initial velocity of the golf ball = 0 m/s

a = The acceleration due to gravity of the planet

t = The time it takes the golf ball to hit the ground = 0.44 seconds

By substituting, we have;

1.46 = 0 × 0.44 + 1/2 × a × 0.44²

a = 1.46/(1/2 × 0.44²) ≈ 15.083 m/s²

The acceleration due to gravity of the planet = a ≈ 15.083 m/s².

The density of silver is 10.49 g/cm3. If a sample of pure silver has a volume of 12.993 cm3, what is the mass?

Answers

Explanation:

Density=mass/volume

mass=x

10.49=X/12.99

X=10.49 X12.99

X=136.29657

mass=136.3g/cm^3

I hope it helped.

What are the differences between tidal power and hydroelectric power?


Thanks to anyone who helped

Answers

Answer:  With Hydroelectric power water is artificially stored in a high place, so it can be released and flow to a low place and through a generator. With Tidal energy the movement of water is also used to power a generator, but the flow of water is caused by the changing tides.

When a rocket accelerates through space is there work done?

Answers

Yes, the work is done because there is a net force acting for there to be a net acceleration
Yes work is done because there is a net force

In the middle of your Fitness drug you start to feel a little weak selective method of monitoring your Fitness level which would be readily available to you at the least cost: A. Heart rate monitor B. Pedometer C. Talk test D. Stopwatch

Answers

Answer:

C. Talk test

Explanation:

The talk test would be readily available to me at the the least cost.

The talk test is about the easiest way that one can monitor intensity as they exercise. Because the only thing needed here is the ability to talk and to breathe.

The intensity lies on if one can talk and breathe at the same time. The harder one exercises, the more breathless they become and they find it difficult to talk.

Answer:

c

Explanation:

2. a) A student obtained ice at 0°C from a refrigerator and placed it in a beaker on a
bench. After 4 minutes, the temperature rose to 4°C. State the changes that would be observed in the water in terms of;
(i) volume
(ii) mass
(iii) density

(b) Sketch a graph of density against temperature if the ice is warmed from 0°C to
8°C.

Answers

Answer:

2 4

Explanation:

because

A distant star system is discovered in which a planet with twice the radius of the earth and rotating 3.0 times as fast as the earth orbits a star with a total power output of 5.8 x 1029 W. If the star's radius is 6.0 times that of the sun, what is the electromagnetic wave intensity at the surface? Astronomers call this the surface flux. Mean radius of the Sun is 6.96 x 109 m. Express your answer with the appropriate units. HA ? I Value Units Submit Request Answer Every planet-day (one rotation), the planet receives 9.4 x 1022 J of energy. What is the planetos distance from its star? Give your answer in astronomical units (AU), where 1 AU is the distance of the earth from the sun ΤΟ ΑΣφ ?

Answers

The electromagnetic wave intensity at the surface of the planet in the distant star system is approximately X W/m². The planet is located at a distance of Y astronomical units (AU) from its star.

To find the electromagnetic wave intensity at the surface of the planet, we need to consider the star's total power output and its radius compared to that of the Sun. The surface flux, or electromagnetic wave intensity, can be calculated using the following formula:

Surface flux = (Star's power output) / (4π × (Star's radius)²)

Given that the star's power output is 5.8 x 10^29 W and the star's radius is 6.0 times the radius of the Sun (6.0 × 6.96 x 10^9 m), we can substitute these values into the formula:

Surface flux = (5.8 x 10^29 W) / (4π × (6.0 × 6.96 x 10^9 m)²)

Simplifying the expression, we can calculate the surface flux in W/m². This gives us the electromagnetic wave intensity at the surface of the planet.

To find the planet's distance from its star, we can use the fact that the planet receives 9.4 x 10^22 J of energy every planet-day (one rotation). This energy is equal to the total energy emitted by the star over a period of one planet-day. The energy received from the star decreases with distance, following an inverse square law.

By equating the energy received from the star to the energy emitted by the star and solving for the distance, we can determine the planet's distance from its star in astronomical units (AU). The formula to calculate the distance is:

Distance = sqrt((Star's power output × Planet-day duration) / (4π × Surface flux))

Substituting the given values, we can calculate the distance in AU.

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An object of mass 5kg moves round a circle of radius 600cm with a constant speed of 10.0ms calculate the angular velocity.

Answers

If an object moves around a circle, of radius 6 m, with constant velocity, the angular velocity of the object is 1.67 1.67 radians per second.

The angular velocity of an object moving in a circular path can be calculated using the formula:

ω = v / r

Where ω is the angular velocity, v is the constant speed, and r is the radius of the circle.

In this case, we are given the constant speed (v) as 10.0 m/s and the radius (r) as 600 cm. We need to convert the radius to meters in order to use the formula correctly:

r = 600cm * (1m / 100cm) = 6m

Now we can plug in the values and solve for the angular velocity:

ω = v / r

ω = 10.0 m/s / 6 m

ω = 1.67 radians per second

Therefore, the angular velocity of the object is 1.67 radians per second.

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A 12 V AC power supply is connected to the primary coil of a transformer. The primary coil has 100 turns and the secondary coil has 200. What is the rms voltage across the secondary

Answers

The rms voltage across the secondary is 24 V.

What is transformer?

An item utilised in the transfer of electric energy is a transformer. AC current is used for transmission. It is frequently used to modify the supply voltage across circuits without altering the AC frequency.

Types of Transformers

Power Transformers. A power transformer transfers electricity between a generator and the distribution primary circuits.Autotransformers. Now, let's make things even more complicated. Generator Step-Up Transformers. Moving right along to GSUs or generator step-up transformers.

Auxiliary Transformers.

Here ,

number of turns in primary coil , Np = 100

number of coils in secondary , Ns = 200

primary voltage , Vp = 12 V

for the ideal transformer

Vs/Ns  = Vp/Np

Vs/200 = 12/100

Vs = 24 V

the rms voltage across the secondary is 24 V.

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An electric iron is connected to the mains power supply of 220 V. When the electric iron is

adjusted at 'minimum heating' it consumes a power of 360 W but at 'maximum heating' it takes a

power of 840 W. Calculate the current and resistance in each case.​

Answers

Answer:

Given: V = 220V, Pmin = 360W, Pmax = 840W

For minimum heating case:

We know that

Pmin = VI

360 = 220 X I

I = 1.63 amp

R = V/I

R = 220/1.63

R = 134.96ohms

For maximum heating case:

We know that

Pmax = VI

840 = 220 X I

I = 3.81 amp

R = V/I

R = 220/3.81

R = 57.74 ohms

A linear liquid-level control system has input control signal of 2 to 15 V is converts into displacement of 1 to 4 m. (CLO1) i. Determine the relation between displacement level and voltage. [5 Marks] Find the displacement of the system if the input control signal 50% from its full-scale [3 Marks]

Answers

The displacement of the system is 1.5 m.

The relation between displacement level and voltage can be determined through the given data. For this, first, we will determine the range of both displacement and voltage.

Range of Displacement:

It is given that the displacement range is from 1 to 4 m. Therefore, the total range will be:

Total range = Maximum value – Minimum value = 4 – 1 = 3 m

Range of Voltage:

It is given that the voltage range is from 2 to 15 V. Therefore, the total range will be:

Total range = Maximum value – Minimum value = 15 – 2 = 13 V

To determine the relation between displacement level and voltage, we will use the formula of the percentage. Mathematically, it is represented as:

Percentage = (Part / Whole) x 100

If we compare the displacement level with the voltage level, we can see that both are directly proportional to each other. It means if the displacement level increases, the voltage level will also increase and vice versa.

The displacement of the system:

If the input control signal is 50% of its full-scale, we can determine the displacement of the system by following these steps:

First, we will find the range of the input control signal:

Total range = Maximum value – Minimum value = 15 – 2 = 13 V

Then, we will find 50% of the range:

50% of total range = (50/100) × 13 = 6.5 V

Now, we will add the minimum value to the above result to get the input control signal value for 50% of the full-scale range:

Input control signal = 6.5 + 2 = 8.5 V

To determine the displacement of the system, we will use the given relation:

Displacement range = 1 to 4 m

Voltage range = 2 to 15 V

The displacement for an input control signal of 8.5 V is:

Displacement = ((Input Control Signal - Minimum Voltage) / (Maximum Voltage - Minimum Voltage)) × (Maximum Displacement - Minimum Displacement)

= ((8.5 - 2) / (15 - 2)) × (4 - 1)

= (6.5 / 13) × 3

= 1.5

Therefore, the displacement of the system for an input control signal of 50% from its full-scale is 1.5 m.

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A graph here shows the displacement of two walkers over time. Waliper 1 is graphed in red while walker 2 is graphed
in blue. Which statements are supported by the information in the guaph? Select ALL that apply.
)
Α)
Both walkers had the same speed overall.
B)
Walker 2 was at rest for the first five seconds.
C)
Walker 1 moved faster overall than walker 2 by the end.
D)
Walker 2 moved faster overall than walker 1 by the end.
E)
Both walkers had reached the same distance at fifteen seconds.

Answers

Answer:

B) Walker 2 was at rest for the first five seconds. D) Walker 2 moved faster overall than walker 1 by the end. E) Both walkers had reached the same distance at fifteen seconds.

Explanation:

I did the UsaTestPrep

at what condition is the wet-bulb temperature equal to the dry-bulb temperature in an open system containing a gas-vapour mixture? briefly describe your answer

Answers

At 100% relative humidity, the wet-bulb temperature equal to the dry-bulb temperature in an open system containing a gas-vapour mixture.

Relative humidity (RH) is the measure of the quantity of water vapour, or moisture, in the air, represented as a percentage of the maximum amount of moisture the air can contain at a particular temperature and pressure without condensing.

The mass of vapour per unit mass of the gas is used to define the humidity of a vapor-gas mixture. The mass of vapour per unit mass of the gas is used to define the humidity of a vapor-gas mixture. Any vapour existing in any noncondensable gas can be subject to this basic rule.

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why do observations of high redshift type ia supernovae imply that the expansion of the universe is accelerating?

Answers

High redshift Type Ia supernovae observations imply that the universe's expansion is accelerating due to their consistent intrinsic brightness and their role as "standard candles" in measuring cosmic distances.

Type Ia supernovae are thermonuclear explosions of white dwarf stars that have a well-defined peak luminosity, allowing astronomers to determine their distance from Earth accurately. When astronomers observe these supernovae at high redshifts, they are looking back in time to see the universe at an earlier stage. The redshift refers to the observed shift in the light emitted by these objects towards the red end of the spectrum, caused by the Doppler effect as they move away from us due to the expansion of the universe.

A higher redshift corresponds to a more distant and earlier stage of the universe. By comparing the observed brightness of high redshift Type Ia supernovae with their known intrinsic brightness, astronomers can deduce how far away these objects are and how the universe has expanded over time. Observations of these distant supernovae have revealed that they are dimmer than expected, indicating that they are farther away than anticipated based on the standard models of cosmic expansion.

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If both masses are doubled, then the force
of gravity between them is quadrupled.
(True/False)

Answers

Answer:

True?

Explanation:Im sure of it?

According to the universal law of gravitation, the force between 2 objects (m1 and m2) is proportional to their plenty and reciprocally proportional to the sq. of the distance (R) between them.

A certain quantity of a liquid has a volume of 10cm at 20°C. Calculate its volume at 50°C, if it’s cubic expansivity is 10^(-3) K^(-1)

Answers

Answer:

10.3 cm³

Explanation:

From the question given above, the following data were obtained:

Original volume (V₁) = 10 cm³

Initial temperature (θ₁) = 20 °C

Final temperature (θ₂) = 50 °C

Cubic expansivity (γ) = 10¯³ K¯¹

Final volume (V₂) =?

γ = V₂ – V₁ / V₁(θ₂ – θ₁)

10¯³ = V₂ – 10 / 10( 50 – 20)

10¯³ = V₂ – 10 / 10(30)

10¯³ = V₂ – 10 / 300

Cross multiply

10¯³ × 300 = V₂ – 10

0.3 = V₂ – 10

Collect like terms

0.3 + 10 = V₂

10.3 = V₂

V₂ = 10.3 cm³

Thus, the volume at 50 °C is 10.3 cm³

what is the velocity at which the first sphere (mass =0.1 kilograms) hits the four spheres at rest if it is released from a height of 0.05meter?

Answers

The velocity of the first sphere will be 0.9899m/s

We know that Potential Energy, P.E. will be:

P.E. = mgh

where m = 0.1 kg

g =  9.8 m/s^2

h = 0.05 m

On  substituting values we get,

P.E. = 0.1 * 9.8 * 0.05 = 0.049 J

By the law of conservation of Energy,

P.E. = K.E,

K.E. = Kinetic energy ,

\(K.E. =\frac{mv^{2} }{2}\)

on substituting values we get,

(0.1 * v^2 *)/2 = 0.049

v^2 = 0.98

taking square root on both sides, we get

v = 0.9899 m/s

Therefore, the velocity of the first sphere will be 0.9899m/s.

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What is the term used to describe the maximum distance that a sound wave displaces air molecules from their original undisturbed position?

Answers

The term used to describe the maximum distance that a sound wave displaces air molecules from their original undisturbed position is called the amplitude

The term used to describe the maximum distance that a sound wave displaces air molecules from their original undisturbed position is called the amplitude of the sound wave. Amplitude refers to the magnitude of the wave's displacement and is typically measured in decibels (dB).

The higher the amplitude of a sound wave, the louder the sound will be perceived by our ears. The amplitude of a sound wave is determined by the amount of energy that the sound wave carries. A sound wave with a higher amplitude will have more energy and thus will displace air molecules more strongly than a sound wave with a lower amplitude.

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What is the gravitational force between Saturn and it’s moon

What is the gravitational force between Saturn and its moon

Answers

Answer:

The gravitational force between Saturn and it's moon is 1.62 m/s ^2

Explanation:

google it

Answer:

Explanation:

C bro

two wires carry current i1 = 45 a and i2 = 35 a in the opposite directions parallel to the x-axis at y1 = 2 cm and y2 = 11 cm. where on the y-axis (in cm) is the magnetic field zero?

Answers

The point on the y-axis where the magnetic field is zero can be determined by applying Ampere's law, which states that the sum of the magnetic field contributions from currents passing through a closed loop is proportional to the total current passing through the loop.

In this case, we have two wires carrying currents in opposite directions. The magnetic field at a point on the y-axis due to each wire can be calculated using the formula:

B = (μ0 / 2π) * (I / r),

where B is the magnetic field, μ0 is the permeability of free space (4π × 10^(-7) T·m/A), I is the current, and r is the distance from the wire to the point of interest.

Let's consider a point on the y-axis at a distance y from the x-axis. The magnetic field contributions from the two wires can be calculated as follows:

B1 = (μ0 / 2π) * (i1 / r1) = (4π × 10^(-7) T·m/A / 2π) * (45 A / r1),

B2 = (μ0 / 2π) * (i2 / r2) = (4π × 10^(-7) T·m/A / 2π) * (35 A / r2),

where r1 is the distance between the first wire and the point on the y-axis, and r2 is the distance between the second wire and the same point on the y-axis.

To find the point on the y-axis where the magnetic field is zero, we set B1 + B2 = 0 and solve for y:

(4π × 10^(-7) T·m/A / 2π) * (45 A / r1) + (4π × 10^(-7) T·m/A / 2π) * (35 A / r2) = 0.

Simplifying the equation, we have:

(45 A / r1) + (35 A / r2) = 0.

From this equation, we can see that for the magnetic field to be zero, the sum of the magnetic field contributions from the two wires must cancel each other out. The specific value of y where this occurs depends on the values of r1 and r2, which are the distances from the wires to the point on the y-axis.

Given that y1 = 2 cm and y2 = 11 cm, we can calculate r1 and r2 as follows:

r1 = √((x^2 + y1^2)) = √((0^2 + 0.02^2)) ≈ 0.02 m,

r2 = √((x^2 + y2^2)) = √((0^2 + 0.11^2)) ≈ 0.11 m.

Now, substituting these values into the equation above, we have:

(45 A / 0.02 m) + (35 A / 0.11 m) = 0.

Simplifying further, we find:

2250 A/m + 318.18 A/m = 0,

2570.18 A/m = 0.

Since it is not possible for the sum of positive values to equal zero, there is no point on the y-axis where the magnetic field is exactly zero in this scenario.

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a baseball pitcher throws a baseball with a speed of estimate the average acceleration of the ball during the throwing motion. in throwing the baseball, the pitcher accelerates it through a displacement of about 3.5 m, from behind the body to the point where it is released

Answers

The average acceleration of the ball during the throwing motion is approximately 528.5 m/s².

To estimate the average acceleration of the baseball during the throwing motion, we can use the following formula:

Average acceleration (a) = Change in velocity (Δv) / Time taken (Δt)

First, let's find the time taken for the ball to travel the given displacement of 3.5 m. We can use the equation of motion:

Displacement (s) = Initial velocity (v₀) * Time taken (t) + 0.5 * Acceleration (a) * Time taken (t)²

Rearranging the equation, we get:

3.5 m = 0 * t + 0.5 * a * t²

Since the initial velocity is 0 (as the pitcher starts from rest), we can simplify the equation to:

3.5 m = 0.5 * a * t²

Now, let's solve for time (t):

3.5 m = 0.5 * a * t²

Dividing both sides by 0.5 * a, we get:

7 m / a = t²

Taking the square root of both sides, we have:

√(7 m / a) = t

Now we have the time taken (t) in terms of the acceleration (a). To find the time taken, we need the velocity (v) divided by the average acceleration:

t = 3.5 m / 43 m/s = 0.0814 s (approx)

Now, let's calculate the change in velocity (Δv) during this time:

Δv = Final velocity (v) - Initial velocity (u)

Since the final velocity is 43 m/s and the initial velocity is 0 m/s, we have:

Δv = 43 m/s - 0 m/s = 43 m/s

Finally, we can calculate the average acceleration (a) using the formula:

a = Δv / t = 43 m/s / 0.0814 s

a ≈ 528.5 m/s²

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Esther dives off a 3m springboard and initially bounces up with a velocity of 8.0 m/s at an angle of 80.0 to the horizontal.. what are the horizontal and vertical components of her velocity​

Answers

This question involves the concept of the resolution of a vector into its rectangular components.

The horizontal component of velocity is "1.4 m/s", and the vertical component of the velocity is "7.9 m/s".

In order to find the horizontal and vertical components of the velocity of Esther, we must resolve the velocity vector into its rectangular components. Hence, the following formulae will be used:

\(Horizontal\ Component = v_x = v\ Cos\theta\\v_x = (8\ m/s)(Cos\ 80^o)\\v_x = 1.4\ m/s\)

\(Vertical\ Component = v_y = v\ Sin\theta\\v_y = (8\ m/s)(Sin\ 80^o)\\v_y = 7.9\ m/s\)

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The attached picture shows the resolution of a vector.

Esther dives off a 3m springboard and initially bounces up with a velocity of 8.0 m/s at an angle of

What should Lidia do if she is planning to have children one day?

Answers

She should get married.

The attaction between magnets is a chemical property.
True
Or
False

Answers

Answer:

false its an attraction property

Answer:

True

The attraction is a chemical property.

A ball is thrown horizontally out the window of a tall building with a velocity of 7.3 m/s
from a height of 206 m. How far from the base of the building will the ball land?
gravity=10m/s²

Answers

A branch of physics called kinematics, which originated in classical mechanics, defines how points, bodies, and systems of bodies move without taking into account the forces that are responsible for their motion.

Let's go over the four basic kinematic equations of motion with constant acceleration:

s = ut + ½at^2 …. (1)

v^2 = u^2 + 2as …. (2)

v = u + at …. (3)

s = (u + v)t/2 …. (4)

where an is acceleration, s is distance, u is beginning velocity, v is final velocity, and t is time.

To determine the horizontal distance traveled in this instance, we first need to determine the time it takes for the ball to fall vertically to the ground.

Knowing u = 0, a = g = 9.81 m/s2, and s = 5 m for the vertical drop, we can use equation (1) to obtain

s = ut + ½at^2

5 = 0 +4.905t^2

t = √(5/4.905) = 1.01s

Now that we have t, we can calculate the horizontal distance.

s = ut + ½at^2

s = 35(1.01) + 0 (no horizontal acceleration) (no horizontal acceleration)

s = 35.35m

The ball thus travels 35.35 meters before striking the ground.

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