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According to a newspaper account, a paratrooper survived a training jump from 12

ID: 2961218 • Letter: A

Question

According to a newspaper account, a paratrooper survived a training jump from 1208 ft when his parachute failed to open but provided some resistance by flapping in the wind. Allegedly he hit the ground at 97.75 mi/h after falling for 7 seconds. To test the accuracy of this account, you should first find the drag coefficient rho, assuming a terminal velocity of 97.75 mi/h and also that the resistance of the paratrooper falling through the air is proportional to his velocity. Remember that the accleration due to gravity near the earth's surface is 32 ft/sec2. Next, find the distance D fallen in 7 seconds.

Explanation / Answer

If his mass is m and the drag coeff. is k and if we measure distance s downwards from his initial point, his equation of motion is md

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