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The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity v0. The distance travelled by the particle in time t will be (a) v0t + 1/3 bt2 (b) v0t + 1/3 bt3 (c) v0t + 1/2 bt3 (d) v0t + 1/2 bt2
(c) dv/dt = bt; Integrated ∫¦dv=∫¦?bt dt? v = (bt^2)/2 + c [t = 0, v = v0] v = v0 + (bt^2)/2 s = v.t = v0t + (bt^3)/2
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