A particle travels in a straight line with velocity given as v$=9-3$t$(4-$t$)$ft$/$s$,$ t is in seconds. The particle is at a location $2$ feet to the left of the origin at t $=3$s$.$ Determine the particle$$s acceleration at t $=3$s$.$ When is the velocity zero? What is the overall displacement of the particle from t $=0$ to t $=5$s $?$ What is the total distance the particle travels from t $=0$ to t $=5$s$?$ Plot the motion curves.