The $x$ and $y$ coordinates of a particle at any time t are given by $x=\mathrm{ }2t+4t^2$ and $y=\mathrm{ }5t$ , where x and y are in metre and t in second. The acceleration of the particle at $t=\mathrm{ }5\mathrm{ }\mathrm{s}$ is -

• A

  $40\mathrm{ }\mathrm{m} {\mathrm{s}}^{-2}$
• B

  $20\mathrm{ }\mathrm{m }{\mathrm{s}}^{-2}$
• Correct answer
  C

  $8\mathrm{ }\mathrm{m }{\mathrm{s}}^{-2}$
• D

  $\mathrm{Z}\mathrm{e}\mathrm{r}\mathrm{o}$

Hence, the correct answer is option: 'C'.