True or false. As a wave travels through a given material its velocity changes.
Answer:
false is the correct answer
Answer:
false
Explanation:
The speed of propagation depends only on the wavelength of the wave.speed of propagation is constant in a given medium; only the wavelength changes as the frequency changes.
The speed of a 2.0-kg object changes from 30 m/s to 40 m/s during a 5.0-second time interval.
During this same time interval, the velocity of the object changes its direction by 90°. What is the
magnitude of the average total force acting on the object during this time interval?
a. 30 N
b. 20 N
c. 15 N
d. 40 N
e. 10 N
Which is the correct answer?
Answer:
F = 2 * 30 / 5 = 12 N to stop forward motion
F = 2 * 40 / 5 = 16 N to accelerate to 90 degrees
(12^2 + 16^2)^1.2 = 20 N average force applied
The magnitude of the average total force acting on the object during this time interval is 20 N.
The given parameters:
Mass of the object, m = 2.0 kgInitial velocity, u = 30 m/sFinal velocity, v = 40 m/sTime of motion, t = 5.0 sThe magnitude of the average total force acting on the object during this time interval is calculated as follows;
\(F = \frac{mv }{t} \\\\F_1 = \frac{2(40)}{5} \\\\F_1 = 16\ N\\\\F_2= \frac{2(30)}{5} \\\\F_2 = 12 \ N\\\\F = \sqrt{F_1^2 + F_2^2} \\\\F = \sqrt{16^2 + 12^2} \\\\F = 20 \ N\)
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Guiseppe's buys supplies to make pizzas at a cost of $4.02. Operating expenses of the business are 161% of the cost
and the profit he makes is 176% of cost. What is the regular selling price of each pizza?
The regular selling price of each pizza is $.
(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)
Guiseppe's buys supplies to make pizzas at a cost of $4.02. Operating expenses of the business are 161% of the cost and the profit he makes is 176% of cost. The regular selling price of each pizza is $7.33.
Let's denote the cost of supplies as C.
Operating expenses:
The operating expenses of the business are 161% of the cost. Therefore, the operating expenses can be calculated as:
Operating Expenses = 1.61 * C
Profit:
The profit made by Guiseppe is 176% of the cost. Therefore, the profit can be calculated as:
Profit = 1.76 * C
Total cost:
The total cost includes the cost of supplies and the operating expenses:
Total Cost = C + Operating Expenses = C + 1.61 * C = 2.61 * C
Regular selling price:
The regular selling price is the sum of the total cost and the profit:
Regular Selling Price = Total Cost + Profit = 2.61 * C + 1.76 * C = 4.37 * C
Given that the cost of supplies is $4.02, we can substitute this value into the equation:
Regular Selling Price = 4.37 * 4.02 = $17.5674
Rounding the final answer to the nearest cent, the regular selling price of each pizza is approximately $7.33.
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A bike travels 15.0 km in 45.0 min. Its average speed in km/h is .
The average speed of a bus traveling a distance of 15.0 km in 45.0 min is 20 km/hour.
What is speed?The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time, making it a scalar quantity.
The distance travelled by an object in a time interval is divided by the length of the interval to determine its average speed.
Distance travelled by the bike = 15.0 km
Time taken by the object = 45.0 minute = (45.0 ÷ 60) hour = 0.75 hour
Hence, the average speed of the object = distance travelled / time taken
= 15.0 km/0.75 hour
= 20 km/hour,
Therefore, the average speed of a bus traveling a distance of15.0 km in 45.0 min is 20 km/hour.
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. When a longitudinal wave passes through air, the instantaneous acceleration of the particle is proportional to its A. velocity B. displacement C. time period D. frequency
Answer:a i think
Explanation:
When a longitudinal wave passes through air, the instantaneous acceleration of the particle is proportional to its displacement. Hence, option (B) is correct.
What is simple harmonic motion?Simple harmonic motion is a specific sort of periodic motion of a body that arises from a dynamic equilibrium between an inertial force in mechanics and physics (often referred to as SHM).
It operates as a restoring force on the moving object that is directly proportional to the size of the object's displacement and acts in the direction of the object's equilibrium position. It is proportional to the acceleration of the body away from the static equilibrium position.
When a longitudinal wave passes through air, the particles of the air posses simple harmonic motion. Hence, the instantaneous acceleration of the particle is proportional to its displacement.
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what is the pressure of a tank of uniform cross sectional area 4.0m2 when the tank is filled with water a depth of 6m when given that 1 atm=1.013 x 10^5pa density of water=1000kgm-3 g=9.8m/s2
The pressure of a tank of uniform cross-sectional area 4.0m2 when the tank is filled with water at a depth of 6m is 58800 Pa.
Pressure calculationTo find the pressure in the tank, we can use the formula for pressure:
Pressure = density x gravity x height
Density of water (ρ) = 1000 kg/m³
Acceleration due to gravity (g) = 9.8 m/s²
Height (h) = 6 m
Thus:
Pressure = 1000 kg/m³ x 9.8 m/s² x 6 m
Pressure = 58800 kg/(m·s²)
Since the unit of pressure is Pascal (Pa), which is equivalent to kg/(m·s²), the pressure in the tank is:
Pressure = 58800 Pa
Therefore, the pressure in the tank when it is filled with water to a depth of 6 m is 58800 Pascal.
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A solid cube just gets completely immersed in water when
a 0.5 kg mass is placed on it. If the mass is removed, the cube
is 5 cm above the water level. What is the length of each side of the cube?
(Density of water =1 kg/L
A. 8 cm
B. 10 cm
C. 20 cm
D. 6 cm
If possible can you also explain the answer.
Thank you!
Answer:
B. 10 cm
x^3 = 1 L
1 L = 1000 cm^3 (since 1 L = 1000 cm^3)
x^3 = 1000 cm^3
A motorcycle travels, in one direction only, with an average speed of 916.66 m/min during the first 30 minutes of its travel and 900 m/min during the next 20 minutes.
Calculate (Units must be in units of the international system):
a. The total distance traveled.
b. The average speed.
Explanation:
a. To calculate the total distance traveled, we need to find the distance traveled during the first 30 minutes and the distance traveled during the next 20 minutes, and then add them up.
During the first 30 minutes:
distance = speed × time
distance = 916.66 m/min × 30 min
distance = 27,499.8 meters
During the next 20 minutes:
distance = speed × time
distance = 900 m/min × 20 min
distance = 18,000 meters
Total distance traveled:
distance = 27,499.8 meters + 18,000 meters
distance = 45,499.8 meters
Therefore, the total distance traveled is 45,499.8 meters.
b. To calculate the average speed, we need to divide the total distance traveled by the total time taken.
Total time taken:
time = 30 min + 20 min
time = 50 min
Average speed:
speed = distance ÷ time
speed = 45,499.8 meters ÷ 50 min
speed = 909.996 m/min
Therefore, the average speed is 909.996 m/min.
g summarize what you know about how changes in frequency and amplitude determine the characteristics
Answer:
Loudness and pitch are the characteristics of a sound related to amplitude and frequency.
Explanation:
Loudness and pitch are the characteristics of a sound that are related with the frequency and amplitude of a sound. If any change occurs in the frequency and amplitude of a sound, change also occurs in the loudness and pitch of a sound. If a source has larger amplitude so it produces large loudness or volume of a sound. On the other hand when the frequency is higher than the pitch will also be higher and the sound produce will be high.
I need the answer asap thank you !!!
Answer:
whats the question??????
The speed of sound is measured to be 340 m/s on a certain day.
What is this in Kilometers per hour?? s/km/h=
Please help and explain how to do these types of problems in very confused!!!
A pipe of constant radius carried water at 3.25 m/s. Please answer in PA.
Pipe of constant radius, we can use Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at two points in a flow system.the pressure of water in the pipe is approximately 105,142 Pa.
What is a system?System refers to a collection of related components or parts that work together to achieve a specific goal or purpose. The concept of a system can be applied to a wide range of fields and disciplines, including science, engineering, economics, and social sciences.
In science, a system is often defined as a portion of the universe that is being studied or analyzed. This can include anything from a single atom or molecule to an entire ecosystem or planet. By defining the boundaries of a system, scientists can focus their attention on understanding the interactions and relationships between the various components within that system.
In engineering, a system refers to a collection of components that are designed to work together to perform a specific function or task. This can include everything from simple mechanical systems like gears and pulleys to complex electrical or computer systems.
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2
Your professor asks you to come up with an example to demonstrate organic solidarity. What is your BEST example?
OA I rely on my grocer because I am not able to produce my own food.
OB. I feel connected to my community because we all worship the same god.
OC. I can evaluate a relationship by pretending to be on the outside of it
OD. I am one of the wealthiest people, so I am benefitting from the poorest people.
The best example of organic solidarity is; I rely on my grocer because I am not able to produce my own food. Option A
What is organic solidarity?Organic solidarity is a concept developed by French sociologist Émile Durkheim to describe the unity and cohesion that arises from the interdependence of individuals in a society.
In societies with organic solidarity, individuals are dependent on one another for the fulfillment of their needs and the functioning of the society as a whole.
This dependence arises from the division of labor and specialization of tasks, which leads to a complex network of interrelated roles and functions. Organic solidarity is seen as a characteristic of modern, industrialized societies.
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Circle Lab
Purpose: To explore experimental design
Introduction: Correctly writing lab reports will enhance your scientific communication skills. We will use this Circle Lab to model proper techniques for sharing information by focusing on the Conclusion section of a lab report. Your conclusion will have three parts: a restatement of the purpose (which answers the question, "Why did we do this activity?"), a brief description of the results of the activity and what you learned (do not include the procedures), and possible sources of error (be specific, for example, "human error" is too vague). Remember that the conclusion is a narrative that is written in complete sentences.
Materials: Metric ruler, meter stick, string, and objects with a circular surface (can of soup, bicycle tire, lids, drinking glass, etc.)
Procedure:
Assemble six objects that have a circular surface. Carefully measure the diameter of the circular surface of each object. Measure the value to the nearest hundredth of a centimeter and record the value in Table 1.
To measure the circumference of each object, cut a long piece of string and wrap it around the circular surface of the object. Use the metric ruler or meter stick to measure the length of the string that corresponds to the circumference of the object. Since this method of measurement tends to increase error, measure to the nearest tenth of a centimeter. Record the value in Table 1.
Make a graph using the measured quantities circumference and diameter. Title your graph Circumference versus Diameter.
After completing the activity, there will be a short answer assessment where you will answer questions and submit your conclusion.
Data:
TABLE 1
OBJECT
DIAMETER (cm)
CIRCUMFERENCE (cm)
Use the following questions to prepare for the assessment:
Using your graph, answer the following questions:
What is the independent variable?
What is the dependent variable?
What is the general shape of the graph line?
What general equation is suggested by the graph line?
You will now use Graphical Analysis to calculate the slope of the line. Choose Analyze from the menu. Select Automatic Curve Fit. Select the proper stock function from the list. (Hint: Your answers from question 1 should help you make the proper selection.) Just below the graph you will see the slope value. Remember that the symbol for slope is "M." When you choose OK to get back to the regular graph screen, you will see a little box on the graph. This box also shows the slope value. (Remember that slope is "m.")
If you are unable to use Graphical Analysis, you can also graph your data on paper to determine the slope. Hint: to determine the slope, use the formula m =
Use complete sentences when writing your conclusion. Your conclusion should answer three questions:
"Why did I do this lab (purpose)?"
"What did I learn from doing this lab?"
"What are some errors that may have occurred when I performed this lab?"
The circumference of a circle is directly proportional to the diameter of the circle.
What is the relationship between the circumference of the circle and the diameter of the circle?The circumference of the circle and the diameter of the circle are directly related by the equation given below:
Circumference of a circle = π * diameterwhere π is a constant.
Therefore, in the circle lab:
The dependent variable is the circumference of the circleThe independent variable is the diameter of the circleThe shape of the line is a straight lineThe equation o the line is that of the general equation of a straight line; y = mx + cWhy did I do this lab?The purpose of the lab was to determine the relationship between the circumference of the circle and the diameter of the circle
What did I learn from doing this lab?I have learnt that the circumference of a circle is directly proportional to the diameter of the circle.
What are some errors that may have occurred when I performed this lab?Some errors that occurred include:
error in taking readings from the metric rulererror when taking the circumference of the circle with the string.In conclusion, the circle lab was done to determine the relationship between the circumference and the diameter of a circle.
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Answer:
2.7
Explanation:
edg 2023
what is the acceleration of a ball traveling horizontally wit an initial velocity of 20 meters/seconds and, 2.0 seconds later, a velocity of 30 meters/seconds
Answer:
\(a=5\ m/s^2\)
Explanation:
Given that,
Initial velocity of the ball, u = 20 m/s
Final velocity, v = 30 m/s
Time, t = 2 seconds
Let us assume to find the acceleration of the ball. The rate at which the velocity of the ball is changing is called the acceleration of the ball. So,
\(a=\dfrac{v-u}{t}\\\\a=\dfrac{30-20}{2}\\\\a=5\ m/s^2\)
So, the acceleration of the ball is \(5\ m/s^2\)
URGENT HELP PLS
(a) Find the frequency ratio between the two frequencies f1 = 320 Hz and
½2 = 576 Hz.
S) If we go down from / by an interval of a fourth, find the frequency ratio filfi.
(c) Find the frequency of f3.
The frequency of f3 is approximately 716 Hz.
What is frequency?The frequency of a repeated event is its number of instances per unit of time. Hertz (Hz), which stands for the number of cycles per second, is a popular unit of measurement.
a. Given two frequencies, f1 and f2, the frequency ratio is as follows:
frequency ratio= \(\frac{f2}{f1}\)
Inputting the values provided yields:
frequency ratio = \(\frac{576}{320Hz}\) =1.8.
As a result, the difference in frequency between f1 = 320 Hz and f2 = 576 Hz is 1.8.
b. Since there are 12 half-steps in an octave and a fourth is a distance of 5 half-steps, going down a fourth requires dividing the frequency by \(2^{(4/12)}\). Hence, once a fourth is subtracted, the frequency ratio between f and f1 is:
frequency ratio= \(\frac{f}{ (f1 /f2 ) }\)= \(\frac{f}{ (f1 / 1.3348) }\)
By dividing the numerator and denominator by 1.3348, we may make this more straightforward:
frequency ratio= (f × 1.33348)/f1
As a result, (f × 1.3348) / f1 is the frequency ratio between f and f1 after descending a fourth.
c. (c) To find the frequency of f3, we need to know the interval between f1 and f3. Let's assume that f3 is a fifth above f2. The frequency ratio for a fifth is given by: \(2^{(7/12)}\) = 1.49831
Therefore, the frequency of f3 is:
f3 = f1 × (\(2^{(7/12)}\)) × (\(2^{(7/12)}\)) = 320 Hz × 1.49831 ×1.49831 = 716 Hz
Therefore, the frequency of f3 is approximately 716 Hz.
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how does a fly function in a energy pyramid
Answer:
A pyramid of energy shows the relative amount of energy available at each trophic level of a food chain or web. On average, about 10 percent of the energy available within one trophic level is transferred to the next level.
Explanation:
4. What is anti node?
Answer:
The position of maximum displacement in a standing wave system.
If a 40 N block is resting on a rough horizontal table with a coefficient of static friction
If a 40 N block is resting on a rough horizontal table with a coefficient of static friction is 12 N.
What is static friction?Static friction is a force that resists the motion of two objects that are in contact with each other. It is caused by the forces of attraction between the two objects and is usually greater than the force of kinetic friction. The forces of static friction oppose the movement of the two objects and can be overcome by applying a force greater than the static friction.
The maximum force the block can withstand before it starts to move is 40 N multiplied by the coefficient of static friction.
The coefficient of static friction between the block and the table is determined by the materials of the block and the table and the surface roughness of the table.
If the coefficient of static friction is 0.3, then the maximum force the block can withstand before it starts to move is 40 N × 0.3 = 12 N.
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1. A 6-volt battery produces a current of 0.5 amps. What is the power in the circuit?
Answer:
hope this will help you
have a great day
Explanation:
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If the velocity of a particle is nonzero, can the particle’s acceleration be zero? Explain.
If a particle's velocity is nonzero, then its acceleration can be zero, because acceleration is the rate of change of velocity. If the velocity is constant and does not change, the acceleration is zero.
What is acceleration?The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.
Because velocity is both a speed and a direction, there are only two ways to accelerate: modify your speed or your direction—or both.
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What did kind of energy did the ruler gain when you bent it with your left hand? why?
Answer:
potential energy
Explanation:
The bent ruler possesses elastic potential energy.
• The bending of the ruler depends upon the material of which it is made up of.
• The ruler after bending will gain elastic potential energy.
• The energy stored as an outcome of applying a force to deform an elastic object is known as the elastic potential energy.
• This energy is stored unless and until the removal of force takes place and the ruler moves back to its original shape.
• When the energy is released or when the bent ruler is released from the left hand, then the potential energy stored in it gets convert to kinetic energy and the ruler will recoil or vibrate briskly.
Thus, it is the elastic potential energy gained by the ruler when one bent it with the left hand.
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What does efficient mean in your own words in science
Answer:
Efficient means something that gives 100% accuracy.
A flat sheet of paper of area 0.450 m2 is oriented so that the normal to the sheet is at an angle of 600 to a uniform electric field of magnitude 18 N C-1. What is the magnitude of the electric flux through the sheet? A. 3.22 N m2 C-1 B. 21.42 N m2 C-1 C. 5.04 N m2 C-1 D. 11.72 N m2 C-1 E. 4.05 N m2 C
The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).
The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.
In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²
(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:
Electric flux = Electric field strength × Area
Electric flux = 18 N C⁻¹ × 0.450 m²
Electric flux = 8.1 N m² C⁻¹
In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.
The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).
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A flask is filled with 1.57 L (L: liter) of a liquid at 90.6 °C. When the liquid is cooled to 10.2 °C, its volume is only 1.38 L. however. Neglect the contraction of the flask. What is the coefficient of volume expansion of the liquid?
The coefficient of volume expansion of the liquid = 1.97 × 10⁻³ /⁰C
What is the coefficient of volume expansion of the liquid?The amount of volume that a substance expands by per unit of its original volume for each degree that its temperature rises is known as the coefficient of volume expansion.
As we know, The coefficient of volume expansion of the liquid
= change in volume/(original volume × temperature difference)
= (V₂ - V₁)/[V₁ × (T₂ - T₁)]
Change in volume = (V₂ - V₁)
Here, V₂ ( final volume) = 1.31 L
V₁ (initial volume)= 1.55 L
T₂ (final temperature) = 14.7 degrees
T₁ (initial temperature) = 96 degrees
The coefficient of volume expansion of the liquid
= (1.31 - 1.55) / [1.5 × (14.7- 96)]
= 1.97 × 10⁻³ /⁰C
Thus, the coefficient of volume expansion of the liquid = 1.97 × 10⁻³ /⁰C
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When discussing Newton's laws of motion which terms do people most likely use when talking about Newton's third law of motion
Answer:
Explanation:
When discussing Newton's laws of motion, the most likely used terms when talking about Newton's third law of motion are action and reaction. According to this law, for every action there is an equal and opposite reaction
Answer: C. "action" and "reaction"
Explanation: Newtons 3rd law of motion: for every action, there is an equal and opposite reaction (action and reaction forces are described by this law).
Have a nice day. :)
Before a collision, a 25 kg object is moving at 12 m/s to the right. After a collision with stationary box, the 25 kg object moves at 8 m/s to the right. What is the resulting momentum of the box?
The initial momentum of the 25 kg object is 25 kg * 12 m/s = 300 kgm/s. After the collision, the momentum of the 25 kg object is 25 kg * 8 m/s = 200 kgm/s. According to the conservation of momentum, the momentum lost by the 25 kg object is equal to the momentum gained by the box. Therefore, the resulting momentum of the box is 300 kgm/s - 200 kgm/s = 100 kg*m/s.
Find the orbital period of Moon when move a round the earth (G=6.673 x10^-11 N.m^2/Kg ^2, R= 3.84 x10^5 m , Moon = 7.34 x10^22 kg , earth = 5.97x10^24 kg )
Answer:
Explanation:
Ok so I don’t quite understand this
In the Faraday pail experiment a metal ball is lowered into a brass pail. In a variation of this experiment, suppose we charge the metal ball with Q and the brass pail with charge 2Q. The ball is slowly lowered into the pail. At no time does the sphere touch the pail. While the ball is inside, the charge on the outside of the pail is _____. The outer part of the pail is then touched/grounded. Then the ball is removed. After the ball is removed, the charge on the outer surface of the pail is ___. Briefly support your answers with reasoning from Gauss's Law.
Answer:
a)
*The charges of which and the cube are of the same sign..
Q_exterior = 3 Q
* the charge of the sphere has a different sign than the charge of the cube,
Q_exterior = Q
b) Q = 0
Explanation:
To correctly describe this experiment, you must remember that in metals charges are mobile and that charges of the same sign repel and of different signs attract.
Let's analyze each situation
a) Suppose that the charges of which and the cube are of the same sign.
When the ball is introduced without touching the walls, its charge Q attracts a charge of equal magnitude and different sign to the internal wall. If we create a Gaussian surface around the inner wall of the sphere the net charge between the ball and the inner wall is zero. Consequently, a face Q should have been generated in the outer wall, therefore in this wall it has a total load of
Q_exterior = 3 Q
Now suppose that the charge of the sphere has a different sign than the charge of the cube, for simplicity let's say that the charge of the sphere is -Q and the cube + 2Q,
Again we create a Gaussian surface outside the inner wall, now the charge on the ball attracts a charge of value + Q to neutralize the charge between the ball and the inner wall. Therefore a load remains on the outer wall
Q_exterior = + Q
b) The cube is connected to earth and it is touched with the ball, in this case the charge of the two bodies is neutralized by the Earth, therefore the bodies have zero charge
Q = 0
A robotic vehicle, or rover, is exploring the surface of Mars. The stationary Mars lander is the origin of coordinates, and the surrounding Martian surface lies in the xy-plane. The rover, which we represent as a point, has x- and y-coordinates that vary with time: = 2.0 − (0.25 / 2 ) 2 = (1.0/) + (0.025/ 3 ) 3 () ℎ ′ and distance from the lander at t=2.0s. (B) Find the rover’s displacement and average velocity vectors for the interval t=0.0 s to t=2.0s. (c) Find a general expression for the rover’s instantaneous velocity vector ⃗ . Express ⃗ at in component form and in terms of magnitude and direction
A) The rover’s coordinates and its distance from the lander at t = 2.0 s are; (1, 4) and 4.1 m
B) The rover’s displacement and average velocity vector during the interval are; s = (-1, 4) and v = (-0.5, 2) m/s
C) The magnitude and direction of the instantaneous velocity are; 2.24 m/s and 117°
What is the displacement and Velocity?
The rover's x and y coordinates are given as;
x = 2.0m − (0.25 m/s²)t²
y = (1.0m/s)t + (0.25 m/s³)t³
A) At t = 2 s, the rovers coordinates are;
x = 2.0m − (0.25 m/s²)2²
x = 1 m
y = (1.0m/s)2 + (0.25 m/s³)2³
y = 4 m
Distance from the lander is;
s = √[(1 - 2)² + 4²]
s = 4.1 m
B) Let us first find the distance coordinates for the interval t = 0.0 s to t = 2.0s. Thus;
s = r - r₀
s = (1 - 2), (4 - 0)
s = (-1, 4)
Thus, average velocity vector is;
v = ¹/₂s
v = ¹/₂(-1, 4)
v = (-0.5, 2) m/s
C) A general expression for the instantaneous velocity components is;
v_x = -0.5t
v_y = 1 - 0.75t²
Thus, v(2) is;
v_x = -0.5(2) = -1
v_y = 1 - 0.75(2)²
v_y = -2
Instantaneous velocity vector is; v = (-1, -2)
Magnitude of instantaneous Velocity = √(-1² + -2²) = 2.24 m/s
Direction = 180° - tan⁻¹(-2/-1) ≈ 117°
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