Suppose that Adam throws a tennis ball of a clift 400 meters high with an initial speed of 40 meters per second at an angle of 35 degrees to the horizontal.

(a) Find parametric equations that describe the position of the ball as a function of time.

(b) How long is the ball in the air?

(c) When is the ball at its maximum height? Determine the height of the ball.

(d) Determine the distance that the ball has traveled.


The teacher has given us a sheet of paper with 5 other similar questions.

I need someone to answer this question in full (step by step). Once I know what to do, I'll be able to answer the extra 5 questions that were given by the teacher on my own.

Keep in mind, this is a precalculus course and so your reply must be in math that is prior calculus and beyond material.