Question: A roller coaster designer must carefully balance the desire for excitement and the need for safety. The most recent design is shown in Figure. (a)

A roller coaster designer must carefully balance the desire for excitement and the need for safety. The most recent design is shown in Figure.

(a) If a 355-kg roller coaster car has zero velocity on the top of the first hill, determine its potential energy.
(b) What is the velocity of the roller coaster car at the specified locations in the design?
(c) Explain the relationship between velocity and the position on the track throughout the ride. (Consider the track to befrictionless.)

60.0 m 40.0 m 30.0 m 20.0 m

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