A body is being moved from rest along a straight line by a machine delivering constant power. The speed of body in time t is proportional tott½t²1/tSolution:Power = Constant (K) F.v= K ⇒m.(dv/dt).v = K ⇒m.v.dv = K.dt Integrating we get, ⇒∫m.v.dv=∫K.dt ⇒ mv²/2 = Kt so, V α t½
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