Truck approaching a car accelerating from rest

[chroncile]

Homework Statement

A truck travels at a constant speed of 28.0 m/s in the fast lane of a two-lane highway. It approaches a stationary car stopped a the side of the road. When the truck is still 125 m behind the car, the car pulls out into the slow lane with an acceleration of 2.6 m/s². How long will it take the truck to reach the car? (Answer is 6.32 s)

Homework Equations

N / A

The Attempt at a Solution

I have no idea how to do this :(

 

[Doc Al]

This is similar to the wolf/rabbit problem.

Write the position as a function of time for both the truck and the car. Measure from the initial position of the truck when the car starts moving. Set them equal.

 

[chroncile]

I'm sorry, but could you please write that out in equation form? I am not a clever man.

 

[Doc Al]

Oh, you're clever enough.

You just solved an almost identical problem! Hint: The truck moves at constant speed; the car accelerates.