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8. solve the diff eq for v then solve for impact velocity.

8. The motion of a body of mass m, gravitationally attracted to Earth in the presence of a
resisting drag force proportional to the square of its velocity, is given by
dv
GmM.
m
dt
+ kv?.
r2
(a) Assume that the body is released from rest at an altitude h above the surface
of Earth. Solve the associated initial value problem.
(b) Find the impact velocity.

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