Hitting a Baseball: Solving Physics Problem

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SUMMARY

The discussion focuses on solving a physics problem related to hitting a baseball, specifically determining if a baseball clears an 8.40-meter-high fence located 96.0 meters from the launch point. The ball is hit at a 45° angle and has a calculated initial velocity of approximately 32.38 m/s. The calculations indicate that the ball reaches a height of approximately 11.24 meters at the fence, successfully clearing it by a margin of 2.84 meters. The initial confusion regarding the calculations was resolved by verifying the equations used for projectile motion.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Basic knowledge of trigonometry
  • Ability to perform calculations involving gravitational acceleration (9.8 m/s²)
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn about the effects of air resistance on projectile trajectories
  • Explore advanced topics in kinematics, such as multi-dimensional motion
  • Investigate real-world applications of projectile motion in sports physics
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This discussion is beneficial for physics students, educators, and sports analysts interested in the mechanics of projectile motion and its applications in sports like baseball.

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[SOLVED] Hitting a baseball

Homework Statement


A batter hits a pitched ball when the center of the ball is 1.37 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 106 m. (a) Does the ball clear a 8.40-m-high fence that is 96.0 m horizontally from the launch point? (b) At the fence, what is the distance between the fence top and the ball center?


Homework Equations





The Attempt at a Solution


So for v0 I get sqrt(9.8*106/1) = 32.38209382

So to find out when its over the fence I do 96/t*cos(45) = 4.192579478

So I then plug this into y = y0+(v0*sin(45))t - 1/2 g(t^2) = 11.23915888 which means it clears the fence but,

This minus 8.4 = 2.84 but its saying that this answer is incorrect. Anyone see where I'm going wrong?
 
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Nevermind, solved.
 

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