A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity v that varies v=αX. The displacement of the particle varies with time as
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a
t1/2
b
t3
c
t2
d
t
answer is C.
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Detailed Solution
Given v=αx or (dx/dt)=αxIntegrating, we get∫0x dxx=α∫0t dt∴2x=αtor x=α2t24∝t2
A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity v that varies v=αX. The displacement of the particle varies with time as