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S in winter ski jumping, how would the skier know the final velocity at the top

ID: 1543845 • Letter: S

Question

S in winter ski jumping, how would the skier know the final velocity at the top of the ramp if they are given the height of the ramp? In Cutnell & Johnson, Physics, 6th ed Volume One, Chapter 6, Problem 34, page 176. A water skier lets go of the tow rope upon leaving the end of a jump ramp at a speed of 14.0 m/s. As the drawing indicates, the skier has a speed of 13.0 m/s at the highest point of the jump. Ignoring air resistance, determine the skier's height above the top of the ramp at the highest point. L40 mis 130

Explanation / Answer

conservation of energy gives :-

1/2Vf^2 + mgHf = 1/2mVo^2 + mgHo

rearrenging the terms,

Hf - Ho = Vf^2 - Vo^2 / 2g

= (14^2 - 13^2) / 2*9.81

= 1.376 m