At a local swimming pool, the diving board is elevated h = 9.5 m above the pool's surface and overhangs the pool edge by L = 2 m. A diver runs horizontally along the diving board with a speed of vo = 4.9 m/s and then falls into the pool. Neglect air resistance. Use a coordinate system with the horizontal x-axis pointing in the direction of the diver's initial motion, and the vertical y-axis pointing up. Enter an expression for the time ty it takes the diver to fall off the end of the diving board to the pool's surface in terms of vo, h, L, and g. Calculate this time, ty in seconds. Determine the horizontal distance, dy in meters, from the edge of the pool to where the diver enters the water.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 8P
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At a local swimming pool, the diving board is elevated h = 9.5 m above the pool's surface and overhangs the pool edge by L = 2 m. A diver runs horizontally along the diving board with a speed of vo = 4.9 m/s and then falls into the pool. Neglect air resistance. Use a coordinate system with the horizontal x-axis pointing in the direction of the diver's initial motion, and the vertical y-axis pointing up.

Enter an expression for the time ty it takes the diver to fall off the end of the diving board to the pool's surface in terms of vo, h, L, and g.

Calculate this time, ty in seconds.
Determine the horizontal distance, dy in meters, from the edge of the pool to where the diver enters the water.

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