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AP Physics 1
1.4 Reference Frames and Relative Motion
1.2 Displacement, Velocity, and Acceleration
AdvancedMCQMathematicalConceptual21.9k
Elevator accelerating upward with a coin released at height \(h\) above the floor.
Elevator accelerating upward with a coin released at height \(h\) above the floor.
An elevator cabin is moving vertically upward with an instantaneous speed \(v_0\) and a constant upward acceleration \(a_0\). A passenger inside the elevator releases a small coin from rest relative to the cabin at a height \(h\) above the cabin floor. An observer stands at rest on the ground outside the elevator. Which row in the table correctly identifies the magnitude of the coin's acceleration relative to the ground observer while the coin is in the air, and the time interval \(\Delta t\) required for the coin to reach the cabin floor?

Acceleration Relative to GroundTime Interval \(\Delta t\)
A\(g + a_0\)\(\sqrt{\dfrac{2h}{g}}\)
B\(g + a_0\)\(\sqrt{\dfrac{2h}{g + a_0}}\)
C\(g\)\(\sqrt{\dfrac{2h}{g + a_0}}\)
D\(g\)\(\sqrt{\dfrac{2h}{g - a_0}}\)

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