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The acceleration of a particle is increasing linearly with time t as bt. The particle starts from origin with an initial velocity Vo. The distance travelled by particle in time t will be
a(t) = btv(t) = bt2/2+cGiven, c = V0v(t) = bt2/2+V0d(t) = bt3/6+V0t+Cstarts from origin means C= 0. Hence,d(t) = bt3/6+V0t
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