A 40-kg skier pushes off the top of a hill with an initial speed of 4.0 m/s. Neglecting friction, how fast will she be moving after dropping 10 m in elevation?
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Because the friction can be neglected, the question can be solved by conservation of energy.
Using the current position as the zero gravitational energy, at current ...
This solution explains how to find the speed of the skier after dropping a given elevation.