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## Homework Statement

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?

## Homework Equations

Horizontal Range= v

_{i}

^{2}sin 2[tex]\Theta[/tex]/ g

Height = v

_{i}

^{2}sin

^{2}[tex]\Theta[/tex]/2g

## 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?