# Motion in 2D

1. Feb 1, 2010

### hackett5

1. The problem statement, all variables and given/known data

A football player has to kick a ball through the uprights that are 36m away and 3.05 high. He kicks the ball at 20m/s and at an angle of 53 degrees. By how much does the ball clear or fall short of the goal?

2. Relevant equations
Horizontal Range= vi2 sin 2$$\Theta$$/ g

Height = vi2sin2$$\Theta$$/2g

3. The attempt at a solution

Using the formulas for range and hieght, I found that the ball traveled a total of 39.23m and reached a maximum height of 13.02. The ball traveled far enough, but how do I find how high the ball was at 36m to see if there was enough height?

2. Feb 3, 2010