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A particle is moving along the x-axis whose acceleration is given by $a = 3 x - 4$ , 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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zero

42 m

14 m

21 m

answer is A.

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Detailed Solution

At $t = 0, v = 0, x = 4 / 3 m$

$a = \frac{4 \times 3}{3} - 4 = 0$

As 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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