Supposed a body of mass 3

kg is falling in the atmosphere near sea level.

Let v(t)m/s

be the velocity of the body at time t

in seconds. Assume that v

is positive in the downward direction - that is, when the object is falling. 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(t)

where c=0.35kg

s

. The gravitational constant is g=9.8m/s

2

.

a) Find a differential equation for the velocity v

:

I have no idea where to start and think I am over thinking the question.