Conservation of energy:
, where Wnc is the work done by non-conservative forces such as friction.
There is no non-conservative force in this problem.
Therefore, Wnc = 0
So, we have:
1. Use conservation of Energy to determine the final speed of an object that free-falls a height y.
2. Show the time derivative of the final speed equation becomes ay = g
3. Show that the integral of the final speed equation can be written as y = 1/2 gt2
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