Need help with differential equations.?

Posted on 2016-04-11 18:41:00 in Physics by LYON

In this problem consider the acceleration g of an object falling freely near the earths surface to be about g=9.81 m/s^2=32.2 ft/s^2. Consider also the second newtons law of motion F=(mv) from which W=mg. A man wearing a parachute falls from rest from a great height towards the earth. the total weight of the man, gear and parachute is 170 lbs. Before the parachute opens, the air resistance is v(t)/2. The parachute opens 5 seconds after the fall begins, the air resistance then becomes v^2(t)/2. 

A. Find a formula for the velocity of the parachutist before the parachute opens (0<t<5) 

B. find the velocity of the parachutist exactly when the parachute opens (t=5) 

C. Find a formula for the velocity of the parachutist after the parachute opens (0>5) 

I searched google and couldn t find any problem similar so I was hoping somebody here could help me.

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