Projectile Motion baseball hit at ground level

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SUMMARY

The discussion focuses on calculating the height of a fence that a baseball barely clears after being hit at ground level. The baseball reaches its maximum height 3.0 seconds after being hit and takes an additional 2.5 seconds to clear a fence located 320 feet away. Using the equations of motion, specifically the kinematic equations for projectile motion, participants conclude that the maximum height can be determined by analyzing the time to maximum height and the properties of parabolic motion.

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  • Understanding of kinematic equations in physics
  • Knowledge of projectile motion principles
  • Ability to solve quadratic equations
  • Familiarity with concepts of maximum height and time of flight
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  • Study the kinematic equations for projectile motion in detail
  • Learn how to derive maximum height from time of flight
  • Explore the concept of parabolic trajectories in physics
  • Practice solving problems involving projectile motion and height calculations
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rasikan
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Homework Statement



A baseball is hit at ground level. The ball is observed to reach its maximum height above ground level 3.0 s after begin hit. And 2.5 s after reaching this maximum height, the ball is observed to barely clear a fence that is 320 ft from where it was hit. How high is the fence?

Homework Equations


i think I can use these equation
x-x0=vx0t
y-y0=vyot-gt^2/2

The Attempt at a Solution


I have no clue about this question
 
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I would start with the fact that you know the time to maximum height. Since it is parabolic motion, you can use this to find the maximum height since you know that at the instant of maximum height, Vy=0. See if that helps.
 
Another consequence of parabolic motion is that the ball reaches its maximum height in half the time it takes to reach the ground again.
 
arunma said:
Another consequence of parabolic motion is that the ball reaches its maximum height in half the time it takes to reach the ground again.
This can also be proved by using
v-u/t=a
 
Last edited:

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