A football is punted up into the air and it lands 5 seconds later. How high did the did the football reach it's highest point and when does it reach this height?

Answer 1

t(up) = t(dn) = 5/2 = 2.5s.

Vf = Vo + gt,
Vo = Vf - gt,
Vo = 0 - (-9.8)*2.5 = 24.5m/s.

h = (Vf^2 - Vo^2) / 2g,
h = (0 - (24.5)^2 / -19.6 = 30.6m.