Problem

Problem

A particle moves along a straight line. Its position at any instant is given by x=32t−8t33x = 32t - \frac{8t^3}{3} where xx is in metres and tt in seconds. Find the acceleration of the particle at the instant when particle is at rest. a. −16 ms−2-16 \text{ ms}^{-2} b. −32 ms−2-32 \text{ ms}^{-2} c. 32 ms−232 \text{ ms}^{-2} d. 16 ms−216 \text{ ms}^{-2}

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