A freestyle skier hits the takeoff ramp with an initial velocity of 17.5 m/ with a purely vertical take off (90 degrees). What is the peak height that the skier will reach?

Answer 1

what skier would take off vertically? He'd smash back onto the end of the ramp.

Anyway, assuming liftoff at h=0 (also problematic when you think about it),

h(t) = 17.5t - 4.9t^2

max height at t = 17.5/9.8
plug that in to get h.