Exam 2: Kinematics: Motion in One Dimension

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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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E

A rock is thrown directly upward from the edge of a flat roof of a building that is 56.3 meters tall.The rock misses the building on its way down,and is observed to strike the ground 4.00 seconds after being thrown.Take the acceleration due to gravity to have magnitude 9.80 m/s2 and neglect any effects of air resistance.With what speed was the rock thrown?

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5.53 m/s

A rock from a volcanic eruption is launched straight up.Which one of the following statements about this rock while it is in the air is correct if you neglect the presence of air?

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D

A 10-kg rock and 20-kg rock are dropped from the same height and there is no air.If it takes the 20-kg rock a time T to reach the ground,what time will it take the 10-kg rock to reach the ground?

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If the velocity of an object is zero,then that object cannot be accelerating.

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A jet plane is launched from a catapult on an aircraft carrier.In 2.0 s it reaches a speed of 42 m/s at the end of the catapult.Assuming the acceleration is constant,how far did it travel during those 2.0 s?

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You leave on a 549-mi trip in order to attend a meeting that will start 10.8 h after you begin your trip.Along the way you plan to stop for dinner.If the fastest you can safely drive is 65 mi/h,what is the longest time you can spend over dinner and still arrive just in time for the meeting?

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An auto accelerates forward from 7.0 m/s at a uniform 0.71 m/s2.It travels a distance of 1.033 km while accelerating. (a)How fast is the auto moving just as it is traveled the 1.033 km? (b)How many seconds did it take to travel the 1.033 km?

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An object moving i An object moving i   n the +x direction has an acceleration of +2.0 m/s<sup>2</sup>.This means the object n the +x direction has an acceleration of +2.0 m/s2.This means the object

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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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An object is thrown upwards with a speed of 16 m/s.How long does it take it to reach a height of 7.0 m on the way up? Neglect air resistance.

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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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The slope of a velocity versus time graph gives

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A motorist makes a trip of 180 miles.For the first 90 miles she drives at a constant speed of 30 mph.At what constant speed must she drive the remaining distance if her average speed for the total trip is to be 40 mph?

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A rock is thrown upward with a speed of 15 m/s on the surface of planet X where the acceleration of objects in free fall is 2.5 m/s2 and there is no atmosphere.How long does it take for the rock to return to where it was thrown?

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A ball is thrown downward from the top of a building with an initial speed of 25 m/s.It strikes the ground after 2.0 s.How high is the building,assuming no air?

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An astronaut stands by the rim of a crater on the Moon,where the acceleration of gravity is 1.62 m/s2 and there is no air.To determine the depth of the crater,she drops a rock and measures the time it takes for it to hit the bottom.If the time is 6.3 s,what is the depth of the crater?

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A motorist travels 160 km at 80 km/h and 160 km at 100 km/h.What is the average speed of the motorist for this trip?

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A foul ball is hit straight up into the air with a speed of 30 m/s,and air effects are 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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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 8.0 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 8.0 s?

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