Supposed a body of mass 7 kg is falling in the atmosphere near sea level. Let v(t)m/s be the velocity of the body at tim

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Supposed a body of mass 7 kg is falling in the atmosphere near sea level. Let v(t)m/s be the velocity of the body at tim

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Supposed A Body Of Mass 7 Kg Is Falling In The Atmosphere Near Sea Level Let V T M S Be The Velocity Of The Body At Tim 1
Supposed A Body Of Mass 7 Kg Is Falling In The Atmosphere Near Sea Level Let V T M S Be The Velocity Of The Body At Tim 1 (248.82 KiB) Viewed 38 times
Supposed a body of mass 7 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 = 0.4kg . The gravitational constant is g = 9.8m/s². a) Find a differential equation for the velocity v: dv dt (b) Find the equilibrium solution of the differential equation, that is, find the limiting velocity.
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