A particle moving along the positive x $-$axis has a velocity given by the equation, v$($t$)=11\mathrm{.}00$ms$+2\mathrm{.}50$t$($ms$2)-0\mathrm{.}500$t$3($ms$4).$a$)$At what time will the acceleration of the particle become zero? b$)$If the particle starts off at the origin at t$=0\mathrm{.}00$s$,$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$=1\mathrm{.}00$s$?$