Question

a soccer ball is kicked into the air at an angle of 38 degrees above the horizontal. The initial velocity of the ball is 30.0m/s.
How long was the ball in the air?

Determine the horizontal distance traveled by the ball?

what is the maximum height reached by the ball?

Answer 1

find the vertical and horizontal components of initial velocity.

How long in air?
hf=hi+Viv*t-4.9t^2
solve for t, knowing hf=hi=0

max height? at the top Vv is zero.

Vf=Viv-gt
set Vf to zero, solve for t time to top, then hf=hi+viv^t-4.9t^2, put the time to top in for t, solve for hf.