The displacement of a particle moving along a line at time seconds is given by metres

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The displacement of a particle moving along a line at time

t

seconds is given by

s(t)=\sqrt{4t^{2}+1}

metres. Determine its acceleration at

t=2

seconds. (a)

\dfrac{8}{17\sqrt{17}}\,\text{m/s}^{2}

(b)

\dfrac{4}{17\sqrt{17}}\,\text{m/s}^{2}

(c)

-\dfrac{4}{17\sqrt{17}}\,\text{m/s}^{2}

(d)

\dfrac{8}{\sqrt{17}}\,\text{m/s}^{2}