Solve the all parts of given question:
Question: A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by x(t) = bt2 - ct3, where b = 2.20 m/s2 and c = 0.130 m/s3.
Part A: Calculate the average velocity of the car for the time interval t = 0 to t = 12.0 s.
.............m/s
Part B: Calculate the instantaneous velocity of the car at the following times:
i) t = 0
.......m/s
ii) t = 6.0 s
........m/s
iii) t = 12.0 s
.........m/s
Part C: How long after starting from rest is the car again at rest?
........s
Please show all work and explain your methods for above questions.