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Math · Advanced Math
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(1 point) Supposed a body of mass 5 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=0.5kgs . The gravitational constant is g=9.8m/s2. A) dv/dt = 9.8-(0.5/5) (b) Find the equilibrium solution of the differential equation, that is, find the limiting velocity. limiting velocity =

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