The acceleration of a particle is increasing linearly with time $t$ as $bt$. The particle starts from the origin with an initial velocity ${v_0}$. The distance travelled by the particle in time $t$ will be
The acceleration of a particle is increasing linearly with time $t$ as $bt$. The particle starts from the origin with an initial velocity ${v_0}$. The distance travelled by the particle in time $t$ will be
- A
${v_0}t + \frac{1}{3}b{t^2}$
- B
${v_0}t + \frac{1}{3}b{t^3}$
- C
${v_0}t + \frac{1}{6}b{t^3}$
- D
${v_0}t + \frac{1}{2}b{t^2}$
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