A particle moves along a straight line and its position at timetis given bys(t)=2t^321t^2+72t where s is measured in feet and t in seconds.

A particle moves along a straight line and its position at time tis given by s(t)=2t^3−21t^2+72t where s is measured in feet and t in seconds. 

(A) Find the velocity (include ) of the particle at time t=0

t=0:  

(B) Find all values of t for which the particle is at rest. (If there are no such values, enter 0. If there are more than one value, list them separated by commas).

(C) What is the position of the particle at time 14?

(D) Finally, what is the TOTAL distance the particle travels between time 0 and time 14?