Position Functions for Two Cars Colliding on a Straight Road

[Jesper K]

Homework Statement

Two cars approach each other on a straight road. Car A is moving at 16m/s and car B at 8m/s. When they are 45m apart both drivers apply their brakes. Car A slows down at a rate of 2m/s^2 while car B slows down at 4m/s^2. Where and when do the cars collide?

Homework Equations

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The Attempt at a Solution

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I don't really understand this so i would appreacite if someone could help me

 

[Doc Al]

Can you write the position as a function of time for each car? (Let the initial position of Car A be x = 0. What would be the initial position of Car B?)