Mathematics

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}

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

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

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