# Problem 2-101 - Linear Kinematics - Part 3 - (b)

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.)

$x_c = x_{0_c} + v_{0_c}t + ½ \;at^2, \text{with} \; x_{0_c} = 0$

could be correct if you recognize that, for the car, $a = 0$ and so the equation reduces to

$x_c = x_{0_c} + v_{0_c}t, \text{with}\; x_{0_c}= 0$

which is choice (a) as the best choice.

Continue.