Solve the all parts of given problem:
Problem: A batter hits a pitched ball when the center of the ball is 1.16 m above the ground. The ball leaves the bat at an angle of 45° with the ground. With that launch, the ball should have a horizontal range (returning to the launch level) of 107 m.
Part A: Does the ball clear a 8.88-m-high fence that is 97.0 m horizontally from the launch point?
Part B: At the fence, what is the distance between the fence top and the ball center?
Please provide me complete solution for the above problem so I can get right solution. Thanks.