# The perfect parachute

Classical Mechanics Level 4

A parachutist of mass $$m$$ jumps from height $$h$$ and opening her parachute after $$t$$ seconds. A retarding force given by $$\vec { F } =-k\vec { v }$$ acts on her so that she lands on the ground with no velocity. Find $$h-\frac { 1 }{ 2 } g{ t }^{ 2 }$$.

This problem is originally part of set Mechanics problems by Abhishek Sharma.

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