A mass m is accelerated by a time-varying force e-ßt v3, where v is its velocity. It also experiences a resistive force nv, where n is a constant, owing to its motion through the air. The equation of motion of the mass is therefore dv m- = e dt Solve this to show that 1 1 2 2n v2 ßt + e mß + n m mß + n.

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