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F = ma (First 10)
Kinematics
FMA-2022B-08 · 2022B F = ma (AAPT)

2022 F = ma Exam B — Question 8

A ball is launched with speed v at an angle θ to a fixed ramp, which itself makes a 45◦ angle with the horizontal. v θ 45° Assume that when the ball hits the ramp, it bounces elastically and frictionlessly. For what value of θ will the ball bounce off the ramp two times, and then return to its original launch point?
Source: Question 8, 2022 F = ma Exam B, © 2022 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.