Problem 2-101 - Linear Kinematics - Part 6 - (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.)
Accumulated Solution
Displacement of the car
\(x_c = x_{0c} + v_{0c^t}\)
Displacement of the cruiser
\(x_p = x_{0p} + v_{0p} + ½ \;at^2\)
No. This is certainly a correct procedure but will solve part (b) of the problem. We will return to it.