- #1

Amphetamxne

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## Homework Statement

A car in the northbound lane is sitting at a red light. At the moment the light turns green, the car accelerates from rest at 2m/s

^{2}. At this moment there is also a car in the southbound lane that is 200m away and traveling at a constant 25m/s. The northbound car maintains its acceleration until the two cars pass each other.

a. How long after the light turns green do the cars pass each other?

b. How far from the red light are they when they pass each other?

## Homework Equations

x = vt + ½at

^{2}

## The Attempt at a Solution

I know the distance traveled by both cars totals 200m, so I assume this to be x and set vt + ½at

^{2}equal to 200. I only know (?) that Car A maintains a constant acceleration of 2m/s

^{2}and I only know that Car B travels a constant 25m/s and is 200m away. Does this mean Car B has no acceleration since velocity is constant? If so, I'm confused as to what I'm actually supposed to substitute into the equation. Initially, I tried using:

x = ½ (v

_{o}+ v)t

and solved by:

200 = ½(25 + 25)t

t = 8s

but this is not the correct answer.

Any help is appreciated!