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?
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.