Stephanie hits a volleyball from a height of 0.80 m and gives it an initial velocity of 7.6 m/s straight up.

Question

a) how high will the volleyball go?
b) how long will it take the ball to reach its maximum height?

Answer 1

the free-fall equation is ... h = 1/2 g t^2 + Vo t + Ho
... h = -4.9 t^2 + 7.6 t + 0.80

a) the time (t) for max height is on the axis of symmetry
... t = -b / 2a = -7.6 / -9.8
... calculate the time , and substitute into the free-fall equation for max height

b) you already found the time