Two cars, A and B, travel in a straight line. The distance of A from the starting point is given as a function of time by XA (t)=at+Bt^2, with a=2.60 m/s and B=1.20 m/s^2. The distance of B from the starting point is XB (t)= lt^2-kt^3 , with l=2.80 m/s^2 and k=0.20 m/s^3 .
Part A Which car is ahead just after they leave the starting point?
Car A
Car B
Part B At what time(s) are the cars at the same point?
Part C At what time(s) is the distance from A to B neither increasing nor decreasing?
Part D At what time(s) do A and B have the same acceleration?