Solution-Magnitude proportional to the square

Magnitude proportional to the square

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Reference no: EM132080250

Supposed a body of mass 22 kg is falling in the atmosphere near sea level.

Let v(t)m/s

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 proportional to the square of the velocity. Let c be the constant of proportionality.

The gravitational constant is g=9.8m/s

a) Find a differential equation for the velocity v

(b) Determine the limiting velocity after a long time. Your answer should be an expression in c.

limiting velocity

m/s

c =

kg/m

Reference no: EM132080250

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Magnitude proportional to the square

Reference no: EM132080250

Reference no: EM132080250

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