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Questions  

Particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity v that varies as v=ax. The displacement of the particle varies with time as 

a
t3
b
t2
c
t
d
t 1/2

detailed solution

Correct option is B

Velocity,dxdt=ax or dxx=adtIntegrating it, we have∫x−1/2dx=∫adtor 2x1/2=at  or  x∝t2

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