A skier is gliding along at 5.0{\rm m/s} on horizontal, frictionless snow. He suddenly starts down a 15{\rm ^{\circ}} incline. His speed at the bottom is 15{\rm m/s} . What is the length of the incline? How long does it take him to reach the bottom?

1 answer

ΔKE=ΔPE
m•v²/2 - m•v₀²/2= m•g•Δh= m•g•s•sinα
s= (v² - v₀²)/2•g•sinα
s=at²/2 = ……
a=2s/t²
v=v₀ +at = v₀ + 2•s•t/t² = v₀ + 2•s/t
Solve for ‚t’