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Question

A particle is moving along x-axis whose acceleration is given as a=3x4, where x is the location of the particle. At t=0, the particle is at rest at x=4/3. The distance travelled by the particle in 5 s is

A
Infinite
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B
42 m
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C
Zero
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D
None of these
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Solution

The correct option is C Zero
Given,
At t=0,x=43,v=0,
And,
a=3x4
a=3×434=0

As velocity and acceleration both are zero at t=0, the particle will always remain at rest and hence distance travelled in any time interval would be zero.

Hence, option (C) is the correct answer.

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