A baseball player leads off the game and hits a long home run. The ball leaves the bat

at an angle of 20.0o
from the horizontal with a velocity of 40.0 m/s. How far will it
travel in the air?

1 answer

First do vertical problem
Vi = 40 sin 20 = 13.7 meters / second upward
v = Vi - g t
so at top v = 0
t = Vi / g = about 13.7 / 9.81 = 1.4 seconds upward on this planet
time in air = 2 t = 2.8 seconds, because it has to fall
Now
Do horizontal problem
d = U t
but what is U
U = 40 cos 20 = 37.6 m/s
and at last
d = 37.6 * 2.8 = 105 meters (out of the park)