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AP® Physics C: Mechanics

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Moderate

Rollercoaster Design

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A roller coaster designer is constructing a track with a goal that the riders will feel weightless when they reach the top of a bunny hill that is 45m high.

Which of the following best represents the velocity that the designer should construct the track for the car to reach the top of the hill if it can be assumed that the coaster car is at the top of a vertical circle at this position?

A

$ 15.0\frac{m}{s}$

B

$ 21.0\frac{m}{s}$

C

$ 30.0\frac{m}{s}$

D

$ 220\frac{m}{s}$

E

$ 441\frac{m}{s}$