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

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SUMMARY

The discussion centers on a physics problem involving projectile motion, specifically analyzing whether a baseball, hit at a height of 1.22 m and at a 45-degree angle, will clear a 7.32 m-high fence located 97.5 m away. The horizontal range of the ball is calculated to be 107 m. To solve the problem, participants are encouraged to derive the equations for the vertical and horizontal positions of the ball as functions of time to determine the ball's height when it reaches the fence.

PREREQUISITES
  • Understanding of projectile motion equations
  • Knowledge of trigonometric functions for angle calculations
  • Familiarity with kinematic equations
  • Basic algebra for solving equations
NEXT STEPS
  • Study the equations of motion for projectile trajectories
  • Learn how to derive the vertical and horizontal position equations for projectiles
  • Explore the impact of launch angle on projectile range
  • Investigate how to calculate the maximum height of a projectile
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Students studying physics, educators teaching projectile motion, and anyone interested in solving real-world physics problems involving trajectories.

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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