A 60kg skier starts from rest at a height of 20m above the end of a ski-jump and leaves the ramp at an angle of 28 degrees. Neglet air resistance and assume the ramp is frictionless.

Question

A) What is the max height (h) of his jump above the end of the ramp
B)If he increased his weight by putting on a backpack, would (h) then be greater, less, or the same.

Answer 1

PE=KE
mgH=mv₀²/2
v₀=sqrt(2gH)=sqrt(2•9.8•20) = 19.8 m/s,
h= vₒ²•sin²α/2g,
(B) the same (‘h’ is independent on mass)

Answer 2

5 meters