Question: Piecewise velocity:the velocity of a (fast) nautomobile on a straight highway is given by the function:
V(t)= 3t if 0\leqt<20
60 if 20\leqt<45
240-4t if t\geq45
Where t is measured in seconds and v has units of m/s.then answer the following:
a. Graph the velocity function for 0\leqt\leq100. When is the velocity a maximum?When is the velocity zero?
b. What is the distance travelled by the automobile in the first 30 s?
c. What is the distance travelled by the automobile in the first 60 s?
d. What is the position of the automobile when ,t=75 s?