A water-skier lets go of the tow rope upon leaving the end of a jump ramp at a s

Question

A water-skier lets go of the tow rope upon leaving the end of a jump ramp at a speed of v1 = 15.7 m/s. As the figure below indicates, the skier has a speed of v2 = 12.7 m/s at the highest point of the jump.

Ignoring air resistance, determine the skier's height H above the top of the ramp at the highest point.

A water-skier lets go of the tow rope upon leaving the end of a jump ramp at a speed of v1 = 15.7 m/s. As the figure below indicates, the skier has a speed of v2 = 12.7 m/s at the highest point of the jump. cutj0634.gif Ignoring air resistance, determine the skier's height H above the top of the ramp at the highest point.

Explanation / Answer

Eo = Ef

1/2*m*15.7^2 = 1/2*m*12.7^2 + m*g*H

123.245 m = 80.645.m + mgH

Solve for H:

H = (123.245 - 80.645) / g

H = 4.35 m

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