Problem 2-101 - Linear Kinematics - Part 5 - (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

\(x_c = x_{0c} + v_{0c^t}\)

No. Certainly at some time their velocities will be instantaneously equal, but that time is not when they are at the same displacement. That time is \(t_2\) we want \(t_1.\)

graphs indicating where the police cruiser intercepts the card with one head light


Try again.