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a particle movves along a straight line OXX. At a time t the distance x of the particle from O is given by x=40+12t-t3(t to power cube ). How long would the particle travel before coming to rest??
to come at rest dx/dt = 0that is v = 12 – 3t^2 = 0t = 2 s.at t= 2 s it would stop.Hence at t=2 s put it in x .
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