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Question
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 = α  x.The displacement of the particle varies with time as
Options:
A .  t3
B .  t2
C .  t
D .  t12
Answer: Option B
:
B
Given, v = α x
dxdt = a x12
x12 dx = adt
integrating above equation on both sides
x12 α at
xα t2

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