Asoccer ball is kicked at 8m/s. it lands on the ground after being in the air for .85 seconds. at what angle is it kicked?

If ball remains in air for total time T = 0.85 s

this is also known as time of flight

In order to find the time of flight we can use kinematics

so for complete motion its displacement in y direction will be zero

now we know that net velocity of the ball is 8 m/s

while is y direction component we got is vy = 4.165 m/s

now by component method we can say

so it is projected at an angle of 31.4 degree above horizontal