Optimizing Golf Shot Trajectory for a Hole-in-One

[teadelle]

Homework Statement

A golfer finds that when he is at the driving range, he can send the ball a maximum distance of 250m before it strikes the level ground. Once on the golf course, the golfer finds that in order to get a hole in one, he must hit the ball so that is lands a distance of 200m away horizontally, and 5m above the height he is standing. If the golfer strikes the ball with his maximum effort, find the angle he must strike the ball such that it arrives in the hole in the shortest time. Be sure to draw a diagram! Hint: find the times first, then go back and solve for the angle.

Homework Equations

The Attempt at a Solution

 

[BruceW]

hello, teadelle. Welcome to physics forums, first time posting, eh? since this is your homework, you need to give your attempt first before we can give you some help with it.