Skydiver

Calculus Level 1

Two forces act on a parachutist. One is mg,mg, the attraction by the earth, where mm is the mass of the person plus equipment and g=9.8 m/sec2g=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)v(t).

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

Let kk denote the drag coefficient.

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