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AP Physics C: Mechanics
1.5 Motion in Two or Three Dimensions
IntermediateMCQConceptual13.9k
A horizontal cliff of height \(H\) is shown above a flat horizontal ground line. At the upper right edge of the cliff, Sphere 1 and Sphere 2 are positioned side-by-side at the same elevation. A downward vertical dashed line with a downward-pointing arrowhead extends from Sphere 1 to the ground directly below. A horizontal solid vector arrow labeled \(v_0\) points to the right from Sphere 2, and a smooth downward-curving parabolic dashed line extends from Sphere 2 to the ground further to the right. A vertical dimension line with arrowheads at both ends is placed along the cliff face and labeled \(H\). No other labels, lines, text, or axes appear.
Release of Sphere 1 and horizontal projection of Sphere 2 from height H.
At time \(t = 0\), Sphere 1 is released from rest from the edge of a horizontal cliff of height \(H\) above flat ground. At the exact same instant, an identical Sphere 2 is launched horizontally from the same height with an initial speed \(v_0\). Air resistance is negligible. Which of the following correctly compares the time of flight \(t_1\) of Sphere 1 to the time of flight \(t_2\) of Sphere 2, and provides the correct physical justification?

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