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F = ma (Final Problems)
Kinematics
FMA-2015-21 · 2015 F = ma (AAPT)

2015 F = ma Exam — Question 21

21. An object launched vertically upward from the ground with a speed of 50 m/s bounces offof the ground on the return trip with a coefficient of restitution given by CR = 0.9, meaning that immediately after a bounce the upward speed is 90% of the previous downward speed. The ball continues to bounce like this; what is the total amount of time between when the ball is launched and when it finally comes to a rest? Assume the collision time is zero; the bounce is instantaneous. Treat the problem as ideally classical and ignore any quantum effects that might happen for very small bounces.
Source: Question 21, 2015 F = ma Exam, © 2015 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.