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JEE PHYSICS MCQ: MOTION IN A STRAIGHT LINE

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The acceleration of a particle increasing linearly with time t is bt. The particle starts from the origin with an initial velocity v0{v_0}. The distance travelled by the particle in time t will be
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Correct option: A
v0t+16bt3{v_0}t + \frac{1}{6}b{t^3}
Option A (v0t+16bt3{v_0}t + \frac{1}{6}b{t^3}) is correct because it is derived by integrating the acceleration twice with respect to time, considering the initial velocity.

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