Exam 2: Motion in One Dimension

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Which of the following graphs represent an object having zero acceleration? A. Which of the following graphs represent an object having zero acceleration?  A.    B.    C.    D.   B. Which of the following graphs represent an object having zero acceleration?  A.    B.    C.    D.   C. Which of the following graphs represent an object having zero acceleration?  A.    B.    C.    D.   D. Which of the following graphs represent an object having zero acceleration?  A.    B.    C.    D.

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C

A car is traveling north at 17.7 m/s17.7 \mathrm {~m} / \mathrm { s } After 12 s its velocity is 14.1 m/s14.1 \mathrm {~m} / \mathrm { s } in the same direction. Find the magnitude and direction of the car's average acceleration.

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A

The figure shows a graph of the position x of two cars, C and D, as a function of time t. The figure shows a graph of the position x of two cars, C and D, as a function of time t.   According to this graph, which statements about these cars must be true? (There could be more than one correct choice.) According to this graph, which statements about these cars must be true? (There could be more than one correct choice.)

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D, E

Two cars are traveling at the same speed and hit the brakes at the same time. Car A decelerates (decreases its velocity)at twice the rate of car B. If car B takes time T to stop, how long does it take car A to stop?

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A car starts from rest and accelerates uniformly at 3.0 m/s2 toward the north. A second car starts from rest 6.0 s later at the same point and accelerates uniformly at 5.0 m/s2 toward the north. How long after the second car starts does it overtake the first car?

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To determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the time is 2.3 s, what is the height of the bridge? Neglect air resistance.

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A racing car accelerates uniformly from rest along a straight track. This track has markers spaced at equal distances along it from the start, as shown in the figure. The car reaches a speed of 140 km/h as it passes marker 2. A racing car accelerates uniformly from rest along a straight track. This track has markers spaced at equal distances along it from the start, as shown in the figure. The car reaches a speed of 140 km/h as it passes marker 2.   Where on the track was the car when it was traveling at half this speed, that is at 70 km/h? Where on the track was the car when it was traveling at half this speed, that is at 70 km/h?

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To determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the height of the bridge is 41 m, how long will it take for the stone to hit the water? Neglect air resistance.

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An instrument is thrown upward with a speed of 15 m/s on the surface of planet X where the acceleration due to gravity is 2.5 m/s2 and there is no atmosphere. How long does it take for the instrument to return to where it was thrown?

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At the same moment, one rock is dropped and one is thrown downward with an initial velocity of 29 m/s29 \mathrm {~m} / \mathrm { s } from the top of a building that is 300 m300 \mathrm {~m} tall. How much earlier does the thrown rock strike the ground? Neglect air resistance.

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A car moving initially with speed v0 slows down with an acceleration of magnitude a and comes to a full stop after traveling a distance d. What was the speed of the car when it had traveled half that distance, d/2?

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A car initially traveling at 60 km/h accelerates at a constant rate of 2.0 m/s2. How much time is required for the car to reach a speed of 90 km/h?

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The position x(t)of a particle as a function of time t is given by the equation x(t)= (3.5 m/s)t - (5.0 m/s2)t2. What is the average velocity of the particle between t = 0.30 s and t = 0.40 s?

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If the velocity of an object is zero at some point, then its acceleration must also be zero at that point.

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The graph in the figure shows the position of a particle as a function of time as it travels along the x-axis. (a)What is the average speed of the particle between t = 2.0 s and t = 4.0 s? (b)What is the average velocity of the particle between t = 2.0 s and t = 4.0 s? The graph in the figure shows the position of a particle as a function of time as it travels along the x-axis. (a)What is the average speed of the particle between t = 2.0 s and t = 4.0 s? (b)What is the average velocity of the particle between t = 2.0 s and t = 4.0 s?

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A car that is initially moving at 7.50 m/s begins to accelerate forward uniformly at 0.550 m/s2. (a)How long after beginning to accelerate does it take the car to move 3.50 km? (b)How fast is the car moving just as it has traveled 3.50 km?

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An object moving in the +x direction experiences an acceleration of +2.0 m/s2. This means the object

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A racquetball strikes a wall with a speed of 30 m/s and rebounds in the opposite direction with a speed of 26 m/s. The collision takes 20 ms. What is the average acceleration of the ball during the collision with the wall?

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An object is moving with constant non-zero velocity in the +x direction. The velocity versus time graph of this object is

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The graph in the figure shows the position of a particle as it travels along the x-axis. What is the magnitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s? The graph in the figure shows the position of a particle as it travels along the x-axis. What is the magnitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s?

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