Solving a Physics Problem: Will the Ball Clear the Fence?

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The discussion focuses on a physics problem involving projectile motion, where a batter hits a ball at a height of 1.22 m and at a 45-degree angle. The ball has a horizontal range of 107 m, and the key questions are whether it clears a 7.32 m fence located 97.5 m away and the height difference when it reaches the fence. Participants encourage showing calculations to clarify the solution process, emphasizing the need to derive equations for the ball's vertical and horizontal positions over time. The problem combines concepts of kinematics and requires understanding of projectile motion to determine the ball's trajectory. Solving this problem involves applying physics equations to find the ball's height at the fence's location.
Jeff B
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okay well I know this is a fairly simple problem, but I guess my brain isn't it gear today. I'm having trouble figuring this out.

A batter hits a pitched ball when the center of the ball is 1.22 m above the ground. The ball leaves the bat at an angle of 45 degrees with the ground. With that launch, the ball should have a horizontal range (returning to the launch level) of 107 m.
(a) Does the ball clear a 7.32 m-high fence that is 97.5 m horizontally from the launch point? (b) What is the distance between the top of the fence and the center of the ball when the ball reaches the fence?





thanks,

Jeff
 
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OK. Where are you getting stuck? Show your work to get help. (Start by writing the equations describing the vertical and horizontal position of the ball as a function of time.)
 

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