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Kinematics: Motion in One Dimension

Problem #1.
A car traveling at constant speed of 30m/s passes a trooper hidden behind a bush. Once second after the speeding car passes the bush, the trooper sets off in chase with a constant acceleration of 3.0 m/s2. How long does it take the trooper to overtake the speeding car? How far does the trooper travel during this time?

Problem #3.
A stone is thrown vertically downward with a speed of 6m/s from a cliff. How far down will the stone be from the cliff after 3.0 s? What will its velocity after 3.0s?

Problem #4.
A parachutist with a camera, both descending at a speed of 10m/s, releases that camera at an altitude of 50m. How long does the camera take to reach the ground? What is the velocity of the camera just before it hits the ground?

Problem #5.
A rocket moves upward, starting from rest with an acceleration of +29.4 m/s2 for 4.0s. It runs out of fuel at the end of this 4.0s and continues to move upward. How high does it rise above its original starting point? What is the time of flight of the rocket?

Solution Summary

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