Free Fall: Find Time & Height for Passing Balls

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SUMMARY

The discussion focuses on the physics problem involving two balls: one thrown upward with speed V and another dropped from a height H. To determine the time elapsed before the balls pass each other, participants emphasize the need to use kinematic equations that express displacement as a function of initial velocity, gravity, and time. For the second part of the problem, participants confirm that setting the velocity to zero is essential to find the moment when the upward-thrown ball reaches its highest point.

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  • Understanding of kinematic equations in physics
  • Knowledge of gravitational acceleration (g)
  • Familiarity with concepts of velocity and displacement
  • Basic algebra for solving equations
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  • Learn how to apply the concept of gravitational acceleration in problems
  • Explore the relationship between velocity, time, and displacement
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A ball is thrown upward with speed V. At the instant the ball is thrown, second ball is dropped from rest at a height H above the thrown ball, but not directly above it. Ignore air resistance. How much time elapses before the balls pass each other? Find a value of H such that the ball thrown upward is at its highest point when the dropped ball passes.
For the first question, do I need to come up with an equation for both balls and set them equal to each other to find the time when they pass each other? It seems as if I would have two unknowns when I do this. And for the second question do I need to set the velocity equal to 0 to find when the ball reaches its highest point?
 
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For the 1st question, review the kinematics equations again. There is an equation where displacement is expressed as a function of: initial velocity, gravity, and time. By equating this displacement, you can then solve for the time.

For the 2nd question, you are right on!
 

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