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Problem: At a local swimming pool, the diving board is elevated h = 25.5 ft above the pool's surface and overhangs the pool edge by L = 6 ft. A diver runs horizontally along the diving board with a speed of v0 = 13.7 ft/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.Part (a) Enter an expression for the time tw it takes the diver to fall off the end of the diving board to the pool's surface in terms of v0, h, L, and g.Part (b) Calculate this time, tw in seconds. Part (c) Determine the horizontal distance, dw in feet, from the edge of the pool to where the diver enters the water.

FREE Expert Solution

Uniform accelerated motion (UAM) equations, a.k.a. "kinematics equations":

 vf = v0 -gty= (vf+v02)ty= v0t-12gt2 vf2= v02 -2gy

(a)

Time is determined by motion in the y-direction.

  • t = tw 
  • g
  • Δy = - h
  • v0y = 0

From the third UAM equation:

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Problem Details

At a local swimming pool, the diving board is elevated h = 25.5 ft above the pool's surface and overhangs the pool edge by L = 6 ft. A diver runs horizontally along the diving board with a speed of v0 = 13.7 ft/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.

Part (a) Enter an expression for the time tw it takes the diver to fall off the end of the diving board to the pool's surface in terms of v0, h, L, and g.

Part (b) Calculate this time, tw in seconds. sig.gif?tid=8K83-06-03-45-AFC1-20722

Part (c) Determine the horizontal distance, dw in feet, from the edge of the pool to where the diver enters the water.

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