Two cars, A and B move along the x-axis. Car A starts from rest with constant accelertion while car B moves with consstant velocity. a. At what time s, t s, if any, do A and B have the same position? . b. At what time s if any, do A and B have the same velocity? What is the velocity of car B at this time. c. Graph velocity versus time for both A and B. d. At what time s. If any, does car A pass car A? e. At what time s, if any does car B pass car A?

Two cars, A and B move along the x-axis. Car A starts from rest with c

1.	Two cars, A and B move along the x-axis. Car A starts from rest with constant accelertion while car B moves with consstant velocity. a. At what time s, t s, if any, do A and B have the same position? . b. At what time s if any, do A and B have the same velocity? What is the velocity of car B at this time. c. Graph velocity versus time for both A and B. d. At what time s. If any, does car A pass car A? e. At what time s, if any does car B pass car A?
Answer» SOLUTION :The two cars have the same position at time when when their `x-t` graphs cross. The firure shows this occurs at `t=1 s` and `t=3 s`. b. `A` and `B` have the same velpcoty when slpe of the tangent on parabola is equal to the slope of the straight line.From position-time graph, it is clear it occurs at `t=2 s`. Car `B` travels with constant velocitly. `v_(B)=(20-0)/(4-0) =5 MS^(-1)` C. d. Car `A` passes car `B` when`x_(A)` MOVES above `x_(B)` in the `x-t` graph This happens at `t=3 s` E. Car `B` passes car `A` when `x_(B)` moves above `x_(A)`, x-t graph. This happens at `t= 1 s`.