Q. Equation of displacement for any particle is $\ s = 3t^{3} + 7t^{2} + 14t + 8m$. Its acceleration at time $t = 1\ \sec$ is
A) $10\ m/s^{2}$
B) $16\ m/s^{2}$
C) $25\ m/s^{2}$
D) $32\ m/s^{2}$
Explanation
(d) $s = 3t^{3} + 7t^{2} + 14t + 8m$
$a = \frac{d^{2}s}{dt^{2}} = 18t + 14$ at $t = 1\sec{\ \Rightarrow}\ a = 32\ m/s^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.