$\mathrm{s}$ Is the Distance (In $\mathrm{ft}$ ) Traveled in Time $\mathrm{t}$ (In S) by a Particle

Multiple Choice

$\mathrm{s}$ is the distance (in $\mathrm{ft}$ ) traveled in time $\mathrm{t}$ (in s) by a particle. Find the velocity and acceleration at the given time.
- $s=5 t^{3}+6 t^{2}+9 t+2, t=1$

A) $\mathrm{v}=36 \mathrm{ft} / \mathrm{s}, \mathrm{a}=42 \mathrm{ft} / \mathrm{s}^{2}$
B) $v=27 \mathrm{ft} / \mathrm{s}, a=3 \mathrm{ft} / \mathrm{s}^{2}$
C) $v=42 \mathrm{ft} / \mathrm{s}, a=36 \mathrm{ft} / \mathrm{s}^{2}$
D) $v=3 \mathrm{ft} / \mathrm{s}, a=27 \mathrm{ft} / \mathrm{s}^{2}$