Cars A and B move in the same direction in adjacent lanes.The position x of car A is

Chapter 2, Problem 39

(choose chapter or problem)

Cars A and B move in the same direction in adjacent lanes. The position x of car A is given in Fig. 2-30, from time t = 0 to t = 7.0 s. The figure’s vertical scaling is set by \(x_{s}=32.0 \mathrm{m}\). At t = 0, car B is at x = 0, with a velocity of 12 m/s and a negative constant acceleration \(a_{B}\).

(a) What must \(a_{B}\) be such that the cars are (momentarily) side by side ( momentarily at the same value of x) at t = 4.0 s?

(b) For that value of \(a_{B}\), how many times are the cars side by side?

(c) Sketch the position x of car B versus time t on Fig. 2-30. How many times will the cars be side by side if the magnitude of acceleration \(a_{B}\) is

(d) more than and (e) less than the answer to part (a)?