Exam 2: Motion in One Dimension

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A certain test car can go from rest to 32.0 m/s in 3.88 s. The same car can come to a full stop from that speed in 4.14 s. What is the ratio of the magnitude of the starting acceleration to the stopping acceleration?

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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 accelerates from 5.0 m/s5.0 \mathrm {~m} / \mathrm { s } to 21 m/s21 \mathrm {~m} / \mathrm { s } at a constant rate of 3.0 m/s23.0 \mathrm {~m} / \mathrm { s } ^ { 2 } How far does it travel while accelerating?

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The figure shows a graph of the velocity of an object as a function of time. What is the acceleration of the object at the following times? (a) At 1.0 s (b) At 3.0 s The figure shows a graph of the velocity of an object as a function of time. What is the acceleration of the object at the following times? (a) At 1.0 s (b) At 3.0 s

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A water rocket can reach a speed of 75 m/s in 0.050 seconds from launch. What is its average acceleration?

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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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A laser is thrown upward with a speed of 12 m/s on the surface of planet X where the acceleration due to gravity is 1.5 m/s2 and there is no atmosphere. How long does it take for the laser to reach the maximum height?

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What must be your average speed in order to travel 350 km in 5.15 h?

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A ball is thrown straight up with a speed of 36 m/s. How long does it take to return to its starting point, assuming negligible air resistance?

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A car is moving with a constant acceleration. At time t = 5.0 s its velocity is 8.0 m/s in the forward direction, and at time t = 8.0 s its velocity is 12.0 m/s forward. What is the distance traveled in that interval of time?

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If you are driving 72 km/h along a straight road and you look to the side for 4.0 s, how far do you travel during this inattentive period?

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The slope of a velocity versus time graph gives

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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 test rocket at ground level is fired straight up from rest with a net upward acceleration of 20 m/s2. After 4.0 s, the motor turns off but the rocket continues to coast upward with insignificant air resistance. What maximum elevation does the rocket reach?

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The figure shows a graph of the velocity of an object as a function of time. What is the displacement of the object from 0 s to 6.0 s? The figure shows a graph of the velocity of an object as a function of time. What is the displacement of the object from 0 s to 6.0 s?

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A ball is thrown straight upward from ground level with a speed of 18 m/s18 \mathrm {~m} / \mathrm { s } How much time passes before the ball strikes the ground if we disregard air resistance?

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Which of the following quantities has units of a displacement? (There could be more than one correct choice.)

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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 speed 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 speed of the particle between t = 1.0 s and t = 4.0 s?

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A light-year is the distance that light travels in one year. The speed of light is 3.00 × 108 m/s. How many miles are there in one light-year? (1 mi = 1609 m, 1 y = 365 d)

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An object starts from rest and undergoes uniform acceleration. During the first second it travels 5.0 m. How far will it travel during the third second?

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