A cyclist approaches the bottom of a gradual hill at a speed of 14 m/s. The hill is 4.0 m high, and the cyclist estimates that she is going fast enough to coast up and over it without peddling. Ignoring air resistance and friction, find the speed at which the cyclist crests the hill.

Answer 1

initial kinetic energy >
potential energy change
at the top of the hill.

Solve for V. Mass cancels out