Question

#1 An engineer wants to build a track to test the acceleration of a new vehicle to 100mph and back to a complete stop. The vehicle accelerates from rest to 100mph in 5.2s, and when the brakes are engaged, its maximum deceleration is 16m/s2. (a) What is the minimum required length of the track? (b) Plot the velocity vs time of one run where the vehicle accelerates to 100mph and then immediately decelerates to a complete stop.

#2. Freight trains can produce only relatively small accelerations and decelerations. (a) What is the final velocity of a freight train that accelerates at a rate of 0.0500 m/s2 for 8.00 min, starting with an initial velocity of 4.00 m/s? (b) If the train can slow down at a rate of 0.550 m/s2, how long will it take to come to a stop from this velocity? (c) How far will it travel in each case?

#3 A spacecraft is traveling with a velocity of +3250 m/s. Suddenly the retrorockets are fired, and the spacecraft begins to slow down with an acceleration whose magnitude is 10.0 m/s2. (a) What is the velocity of the spacecraft when the displacement of the craft is +215 km, relative to the point where the retrorockets began firing? (b) How far does the spacecraft travel before it momentarily stops? What happens next?

#4 A bicycle racer sprints at the end of a race to clinch a victory. The racer has an initial velocity of 11.5 m/s and accelerates at the rate of 0.500 m/s2 for 7.00 s. (a) What is his final velocity? (b) The racer continues at this velocity to the finish line -- if he was 300 m from the finish line when he started to accelerate, how much time did he save?

Answer 1

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