A particle is moving along x - axis, under the action of a variable force which is providing position varying acceleration described by the equation, $a = 3 x - 4$ at $t = 0, x = \frac{4}{3} m and v = 0$ . Find the velocity and position of particle at t = 5s.

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$0 m / s, 0 m$

$0 m / s, - \frac{8}{3}$ m

$0 m / s,4/3 m$

None of these

answer is C.

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Detailed Solution

In the given question, acceleration at $t = 0 is 3 \times \frac{4}{3} - 4 = 0$ and velocity is also zero at t = 0,
So, particle will remain at rest. Hence, v = 0 and $x = \frac{4}{3} m at t = 5 s$ .

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