The deceleration experienced by a moving motorboat after
its engine is cut off, is given by dv/dt = – kv3 where k is
constant. If v0 is the magnitude of the velocity at cut-off,
the magnitude of the velocity at a time t after the cut-off is
(a) v₀/√(2v₀²kt + 1) (b) v₀e⁻ᵏᵗ
(c) v₀/2 (d) v₀
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