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Q.

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

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a

t3

b

t2

c

t

d

t1/2

answer is B.

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Detailed Solution

v=αxv2=α2x Comparing v2=2ax a=α22= constant  S∝t2
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A particle located at x = 0, at time t = 0, starts moving along the positive X--direction with a velocity v that varies as v=αx. The displacement of the particle varies with time as