Question: The decrease in PE for a freely falling object equals its gain in KE, in accord with the conservation of energy. (a) Using simple algebra,

The decrease in PE for a freely falling object equals its gain in KE, in accord with the conservation of energy.

(a) Using simple algebra, find an equation for an object’s speed v after falling a vertical distance h. Do this by equating KE to the object’s change in PE.

(b) Then figure out how much farther a freely falling object must fall to have twice the speed when it hits the ground.

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