How Do You Calculate Projectile Motion in Football?

[Epif]

Homework Statement

A quarterback throws the football to a stationary reciever who is 40.0m down the field. If the football is thrown at an initial angle of 37.0 degrees to the ground,
a. What is the initial speed of the ball?
b. How much time does it take for the ball to reach the reciever?
c. What is the ball's highest point during its flight.

Homework Equations

I took these images from wikipedia... Couldn't figure out that whole LaTeX thing.

The Attempt at a Solution

Well, I didn't get far. I figured you could break the ball's velocity into 2 parts, the vertical motion and horizontal motion, yielding vsin37 for vertical and vcos37 for horizontal motion. However, I don't know what value v is. I'm thinking that substitution will have to be used but I'm not sure where to go from here. I could really use some help! Thanks!

 

[learningphysics]

Suppose v is the original velocity... what is the time it takes the ball to get to its maximum height in terms of v and theta? what is the time it takes the ball to get to 40.0m in terms of v and theta?