Integration of Velocity function to Position Function?

[engineertobe]

According to a newspaper account, a paratrooper survived a training jump from 1246 ft when his parachute failed to open but provided some resistance by flapping in the wind. Allegedly he hit the ground at 100.75 mi/h after falling for 6.5 seconds. To test the accuracy of this account, you should first find the drag coefficient p, assuming a terminal velocity of 100.75 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.

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I found the drag constant p to be 32/147.766 and I know that this is correct. I now must find the exact distance he fell. Can anyone help me?

 

[galactus]

The problem says he fell 1246 feet?.