The displacement of a particle moving along a straight line is given by

MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The displacement of a particle moving along a straight line is given by s(t)=sin⁡(4t2)s(t)=\sin(4t^{2}), where ss is in metres and tt is in seconds. (i) Find the velocity v(t)v(t). (ii) Determine the acceleration a(t)a(t) and hence find a(π2)a\bigl(\tfrac{\pi}{2}\bigr).

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