Two cars start from rest at a traffic light and accelerate for several minutes. The graph on the next page shows their velocities (in feet per second) as a function of time (in seconds). Car A is the one that initially has greater velocity.

(a) How far has car A traveled after 2 seconds?
(b) When is car A farthest ahead of car B?
(c) Estimate the farthest that car A gets ahead of car B. For car A, use formulas from geometry. For car B, use n = 4 and the value of the function at the midpoint of each interval.
(d) Give a rough estimate of when car B catches up with car A.
(e) At what time are car A and car B going the same speed?
(f) For the time in part (e), which car has the greater acceleration?

VA 10 8 6+ 4 2 Car A + 0.5 1 1.5 2 2.5 Car B + 3 3.5