# 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 $t_1.$

Try again.