Police Officer Catches Car After 1.72 Seconds

[Loppyfoot]

Homework Statement

A motorcycle officer hidden at an intersection observes a car driven by an oblivious driver who ignores a stop sign and continues through the intersection at constant speed. The police officer takes off in pursuit 1.72 s after the car has passed the stop sign. She accelerates at 3.6 m/s2 until her speed is 104 km/h, and then continues at this speed until she catches the car. At that instant, the car is 1.2 km from the intersection.

a) How long did it take for the officer to catch up to the car?
b) How fast was the car traveling?

 

[CompuChip]

You might find the search function useful, this is like the third thread in three days with this question.

Also, it is useful to post some relevant equations, perhaps?

 

[Loppyfoot]

I am having trouble with the fact that is starts 1.72s behind.