You have been chosen to participate in the Sooner $1,000,000 football field goal

Question

You have been chosen to participate in the Sooner $1,000,000 football field goal contest.
On national television, you get one chance to kick a 25 yard (22.9 m) field goal. If the kick is good, you win $1,000,000. The goal post is 3.05 meters above the grass surface. You find that for most of your kicks, the ball leaves your foot at an angle of 40 above the horizontal playing field. We want to find out how fast you have to kick the ball in order for it to just clear the goal post? (To solve this problem follow the outlined steps).

Explanation / Answer

We use the equation

y = x tan (theta) - g x^2 / [2 vo^2 cos^2 (theta)]

As theta = 40 deg, x = 22.9 m, y = 3.05,

3.05 = 22.9 tan (40) - (9.8) (22.9)^2 / [2 vo^2 cos^2 (40)]

SOlving for vo,

vo = 16.46 m/s [ANSWER]

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