How to Determine the Height of an Object Dropped at a Given Speed?

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SUMMARY

The discussion focuses on calculating the height from which an object must be dropped to reach a specific speed upon impact. Tim successfully determined the final velocity of his watch dropped from a 12.5 m height to be 15.7 m/s using the principle of energy conservation, equating kinetic energy (Ek) to potential energy (Ep). However, he encounters difficulty in calculating the height (h) when the watch is dropped at an initial speed of 10 m/s. This requires applying the same energy conservation principles to solve for h.

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  • Understanding of basic physics concepts such as kinetic energy and potential energy
  • Familiarity with the equations of motion under gravity
  • Knowledge of energy conservation principles
  • Ability to manipulate algebraic equations
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Tim drops his watch from a 3-story-building, 12.5 m above ground. In task a. you were asked to find what the v was when it hit the ground, the answer was 15.7. However I am having trouble finding the answer to task b in which you are asked to find the h when the watch is dropped at the speed of 10 m/s.

In a I solved the equation by using
Ek = Ep

But I'm having trouble with b
 
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What have you attempted so far with B?
 

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