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A 50kg skydiver jumps out of an airplane. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude cv^2 where c=.1275 kg/m and i

A 50kg skydiver jumps out of an airplane. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude  cv^2 where  c=.1275  kg/m and  is the velocity of the skydiver at time t (and upward is positive velocity). The gravitational constant is 9.8 m/s^2 .  a) Find a differential equation for the velocity.  b) Determine the terminal velocity in meters per second for free-fall (no parachute).

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A 50kg skydiver jumps out of an airplane. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude cv^2 where c=.1275 kg/m and i
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