One Dimensional Kinematics Problem

[MozAngeles]

Homework Statement

How far has the motorcycle traveled, when it catches the ferarri?
A ferrari speeding at a constant 35m/s passes a police officer at rest. 2.0 s later, the officer accelerates in pursuit at 6.5 m/s^2. How far has the motorcycle traveled, when it catches the ferarri?
I know the d=vt for the ferarri and d=1/2at^2 for the police, but what is throwing me off is the 2.0 seconds later part. Help please!

Homework Equations

d=vt for the ferarri
d=1/2at² for the police

The Attempt at a Solution

I set vt=1/2at²
solved for t and got t=2v/a=12.769 I thought I could just add the two seconds to it, but that is wrong..

 

[n92]

You're solving for the distance the motorcycle travelled, I think in this case time is only needed to find the car's velocity. You should have all the information needed to find displacement.

Vf^2 = Vi^2 + 2ad

solve for displacement.

 

[MozAngeles]

But I'm not given a final velocity. The answer turns out to be 507m I just do not know how.. I know that I have to set two equations equal to each other though