Differential Equation Problem?

In air resistance problem, the differential equation describing the velocity of a falling mass subject to ai?

• In air resistance problem, the differential equation describing the velocity of a falling mass subject to air resistance proportional to the instantaneous velocity is given by m(dv/dt)-mg=-kv where is a constant of proportionality. The positive direction is downward. a) Solve the above equation subject to the initial condition . b) Use the solution in part (a) to determine the limiting, or terminal, velocity of the mass. c) If the distance , measured from the point where the mass was released above ground, is related to velocity by find an explicit expression for if

• Answer:

  Specify the initial conditions.