Question

A baseball is hit 1.3 m above home plate. The bat sends it off at an angle of 30 degrees above the horizontal at a speed of 45.0 m/s. The outfield fence is 100 m away and 11.3 m high. Does the ball clear the fence?

Answer 1

Vertical vi = 45 sin 30 = 22.5
horizontal u = 45 cos 30 which is constant

h = hi + vi t - 4.9 t^2

d = u t
100 = 45 cos 30 * t
so
t = (100/45)/cos 30

then
h = 1.3 + 22.5 t - 4.9 t^2