Transcribed Image Text: Supposed a body of mass 25 kg is failing in the atmosphere near sea level

Let v(t) m/s be the velocity of the body at time t in seconds. Assume that e 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 proportional to the square of the velocity Let e be trne constant of proportionality

The gravitational constant is g9.8m/a

a) Find a differential equation tor the velocity e

de

dt

(b) Determine the limiting velocity ater a long time Your answer should be an expression ine

Bmaing velocity

(C)Fina the drag coetmiciente so that the smitog velocity is 40 m/