Exam 2: Motion in One Dimension

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Suppose that a car traveling to the west (-x direction)begins to slow down as it approaches a traffic light. Which statement concerning its acceleration must be correct?

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The captain orders his starship to accelerate from rest at a rate of "1 g" (1 g = 9.8 m/s2). How many days does it take the starship to reach 10% the speed of light? (Light travels at 3.0 × 108 m/s.)

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Two objects are dropped from a bridge, an interval of 1.0 s apart. Air resistance is negligible. During the time that both objects continue to fall, their separation

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In a ballistics test, a bullet moving horizontally with a speed of 500 m/s strikes a sandbag and penetrates a distance of 10.0 cm. (a)What is the magnitude of the average acceleration of the bullet in the sandbag? (b)How many milliseconds does it take the bullet to come to rest in the sandbag?

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An astronaut on a strange new planet having no atmosphere finds that she can jump up to a maximum height of 27 m when her initial upward speed is 6.0 m/s. What is the magnitude of the acceleration due to gravity on the planet?

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

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Car A is traveling at 22.0 m/s and car B at 29.0 m/s. Car A is 300 m behind car B when the driver of car A accelerates his car with a uniform forward acceleration of 2.40 m/ s2\mathrm { s } ^ { 2 } . How long after car A begins to accelerate does it take car A to overtake car B?

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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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Consider a car that travels between points A and B. The car's average speed can be greater than the magnitude of its average velocity, but the magnitude of its average velocity can never be greater than its average speed.

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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 traveling with a constant speed when the driver suddenly applies the brakes, causing the car to slow down with a constant acceleration of magnitude 3.50 m/s2. If the car comes to a stop in a distance of 30.0 m, what was the car's original speed?

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If the position versus time graph of an object is a horizontal line, the object is

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A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is doubled. If the actual contact with the bat lasts 0.45 s, what is the ratio of the magnitude of the average acceleration of the ball to its original speed?

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The graph in the figure represents the velocity of a particle as it travels along the x-axis. What is the average acceleration of the particle between t = 2.0 s and t = 4.0 s? The graph in the figure represents the velocity of a particle as it travels along the x-axis. What is the average acceleration of the particle between t = 2.0 s and t = 4.0 s?

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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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A race car circles 10 times around a circular 8.0-km track in 20 min. Using SI units (a)what is its average speed for the ten laps? (b)what is its average velocity for the ten laps?

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When is the average velocity of an object equal to the instantaneous velocity?

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A foul ball is hit straight up into the air with a speed of 30 m/s, and air resistance is negligible. (a)Calculate the time required for the ball to rise to its maximum height. (b)Calculate the maximum height reached by the ball above the point where it hit the bat. (c)Determine the times at which the ball passes a point 25 m above the point where it was hit by the bat. (d)Explain why there are two answers to part (c).

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Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.50 s and reaches the level of the top of the pole after a total elapsed time of 4.1 s. What was the speed of the ball at as it passed the top of the flagpole? Neglect air resistance.

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Two objects are thrown from the top of a tall building. One is thrown up, and the other is thrown down, both with the same initial speed. What are their speeds when they hit the street? Neglect air resistance.

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