The displacement S of a particle measured from a fixed point O on a line is given by $\mathrm{S}=\mathrm{t}^3-16 \mathrm{t}^2+64 \mathrm{t}-16$. Then the time at which displacement of the particle is maximum is

• A

  8
• B

  4
• Correct answer
  C

  $\frac{8}{3}$
• D

  $\frac{4}{3}$

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