A body of mass 7 kg is projected vertically upward with an initial velocity 40 m

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A body of mass 7 kg is projected vertically upward with an initial velocity 40 meters per second. The gravitational constant is g = 9.8m/s2 . The air resistance is                equal to k|v| where k is a constant. Assume that the positive direction on the vertical axis is up (rather than down).

                a) Find a formula for the velocity at any time (in terms of k).
                b) Find the limit of this velocity for a fixed time t0 as the air resistance coefficient k goes to 0.
                c) How does this compare to the equation when there is no air resistance ?

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