Car A moves within a constant acceleration of 6m/s2 and it has a speed of 5m/a when it passes car B, which starts from rest. At the instant when car A passes it, car B has an initial acceleration of 0 and moves within a constant jerk of 12m/s3.
a) Write the velocity and position as functions of time for car A.
b) Write the acceleration, velocity, and position as functions of time for car B.
c) How far has car B traveled when catches up to car A.
d) What are the speeds of each car as car B passes car A?