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## 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

Academic Writing Advanced Maths 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

# 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

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/

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