Solve Free Falling Object: Find Height of Ball

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SUMMARY

The problem involves calculating the height from which a ball is dropped, given that it covers three-fifths of the distance to the ground in the last second of its fall. The solution requires the application of kinematic equations, specifically those related to uniformly accelerated motion. The user initially struggled with the equations but ultimately found the correct approach to solve the problem.

PREREQUISITES
  • Understanding of kinematic equations for uniformly accelerated motion
  • Knowledge of free fall physics
  • Ability to manipulate algebraic expressions
  • Familiarity with the concept of time intervals in motion
NEXT STEPS
  • Study the derivation of kinematic equations for free fall
  • Learn how to apply the concept of distance covered in specific time intervals
  • Explore problems involving variable acceleration
  • Investigate real-world applications of free fall in physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and kinematics, as well as educators looking for examples of free fall problems.

Casimi
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Homework Statement


A ball, dropped from rest, covers three-fifths of the distance to the ground in the last second of its fall. From what height was the ball dropped?

The Attempt at a Solution


I have spent the past thirty minutes attempting to figure this out. I initially used a kinematic equation which gave me a new expression for the height and I attempted to put that expression into another kinematic equation but I still cannot seem to arrive at the correct answer.

Any advice or help on this would be appreciated!
 
Physics news on Phys.org
No need, I finally figured it out :)
 

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