Problem 2-101 - Linear Kinematics - Part 4 - (a)

A car \((c)\) with one headlight burned out is traveling at a constant speed of \(18 \;m/s\) and passes a stopped police car \((p)\). The car is pursued immediately by the police cruiser, which has a constant acceleration of magnitude \(2.2 \;m/s^2.\)

(a) How far does the police cruiser travel before catching the other car?
(b) At what time will this occur? (Hint: Graphing may help to visualize this problem.)

No. The cruiser is accelerating and

\(x_p = x_{0p} + v_{p^t}\)

is the condition for constant velocity.