Problem 2-101 - Linear Kinematics - Part 2 - (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.)

Correct!

The expression relating the car's displacement $(x_c)$ to the time $(t)$ is BEST represented by:
 
(A)   $x_c = x_{0c} + v_{0c^t},\text{with}\; x_{0c} = 0$

(B)   $x_c = x_{0c} + v_{0c^t} + ½\; at^2,\text{with} \; x_{0c} = 0$