Problem $1$: A particle moving along the positive x $-$axis has a velocity given by the equation, $v(t)=11\mathrm{.}00\frac{m}{s}+2\mathrm{.}50t(\frac{m}{s^2})-0\mathrm{.}500t^3(\frac{m}{s^4}).$ a$)$ At what time will the acceleration of the particle become zero? b$)$ If the particle starts off at the origin at $t=0\mathrm{.}00s,$ what will be the position of the particle when the acceleration becomes zero? $($BONUS: Assuming the particle has a mass of $2\mathrm{.}50$ kg and experiences no change in its potential energy, what will be the instantaneous power of the particle at $t=1\mathrm{.}00s?(10$ points for $a$&$b$ and $5$ points for the BONUS$)$