Will Vehicle One and Vehicle Two Collide?

[mickellowery]

Homework Statement

Vehicle one driving 30 m/s. Slow moving vehicle 155 m ahead driving 5.00 m/s. Vehicle one brakes and decelerates at -2.00 m/s². Is there a collision? If not what's the closest they get?

Homework Equations

Vehicle one info:
V_i= 30 m/s
A= -2 m/s²
$$\Delta$$X= 155 m

Vehicle two info:
V_i= 5.00 m/s

The Attempt at a Solution

I'm not sure how to set this one up. I'm not even quite sure if I should have the $$\Delta$$X= 155 m. I know that I'll need to have an equation for each vehicle and then set them equal to each other, but I'm not sure which of the one dimension motion equations to use here.

 

[collinsmark]

I know that I'll need to have an equation for each vehicle and then set them equal to each other, but I'm not sure which of the one dimension motion equations to use here.

Use the equation that has all of the following:
Initial position
Initial velocity
acceleration.

You can use the same equation for both vehicles. But you'll have to apply the equation differently to each vehicle.