Question
Asked Feb 14, 2020
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7. The velocity of a freefalling skydiver is well modeled by the differential equation ma = mg –
kv². where m is the mass of the skydiver, g is the gravitational constant, k and is the drag coefficient
determined by the position of the diver during the dive. Calculate the maximum velocity of the skydiver.
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7. The velocity of a freefalling skydiver is well modeled by the differential equation ma = mg – kv². where m is the mass of the skydiver, g is the gravitational constant, k and is the drag coefficient determined by the position of the diver during the dive. Calculate the maximum velocity of the skydiver.

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Expert Answer

Step 1

Consider the following equation.

Physics homework question answer, step 1, image 1

Step 2

Since the skydiver is falling freely. Therefore, the maximum velocity of the skydiver will be same as terminal velocity. Once the skydiver reaches to terminal velocity. The net force on the skydiver becomes zero.  Therefore,

Physics homework question answer, step 2, image 1

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