The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

A boy rides a skateboard on the concrete surface of an empty drainage canal described by the equation shown. He starts at y = 20 ft. and the magnitude of his velocity is approximated by

(a) Use Eq. (13.42) to determine the instantaneous radius of curvature of the boy’s path when he reaches the bottom.

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(b) What is the normal component of his acceleration when he reaches the bottom?