A particle moves along a straight line and its position at time t is given by s(t)=2t3−18t2+48t where s is measured in feet and t in seconds. A) Find the velocity (in ft/sec) of the particle at time t=0.
B) The particle stops moving (i. e. is in a rest) twice, once when t=A and again when t=B where A C) What is the position of the particle at time 12?
D) Finally, what is the total distance the particle travels between time 0 and time 12?