A soccer player kicks a ball at an angle of 370 from the horizontal with an initial speed of 20.0 m/s. Assume that the ball moves in a vertical plane and that the air resistance is negligible.

a) Find the time at which the ball reaches the highest point of its trajectory.

b) How high does the ball go?

c) What is the range of the ball, and how long is it in the air?

d) What is the velocity of the ball as it strikes the ground?