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Q.

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

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a

zero

b

42 m

c

Infinite

d

None of these

answer is A.

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Detailed Solution

At t=0, v=0, x=4/3m        a=4×33−4=0As both the particle velocity and acceleration are zero at t = 0, it will always remain at rest and hence distance travelled at any time interval would be zero.
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