Suppose the ball is kicked horizontally with an initial speed of 9.37m/s. If the ball travels a horizontal distance of distnace 85 meters, how tall is the mountain?

Answer 1

R = 9.39T = 85m.
T = 9.05s = Time in flight.

Tr - Tf = T/2 = 9.05 / 2 = 4.53s. = Rise time = Fall time.

h = V0*t + 0.5g*t^2,
h = 0 + 4.9(4.53)^2 = 101m.