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 + 1/3bt²(b) v₀t + 1/3bt³
(c) v₀t + 1/6bt³(d) v₀t + 1/2bt²
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