# Skydiver

Calculus Level 1

Two forces act on a parachutist. One is $$mg,$$ the attraction by the earth, where $$m$$ is the mass of the person plus equipment and $$g=9.8 \text{ m/sec}^2$$ is the acceleration of gravity. The other force is the air resistance ("drag"), which is assumed to be proportional to the square of the velocity $$v(t)$$.

Using Newton's second law of motion (mass $$\times$$ acceleration = net force applied), set up an ordinary differential equation for $$v(t).$$

Let $$k$$ denote the drag coefficient.

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