# Acceleration and distance problem

1. Mar 15, 2009

### louisG345

1. The problem statement, all variables and given/known data
A car and a motorcycle at rest and 1000.0m apart start toward each other at the same time on a level track. if the car accelerates at a uniform rate of 3.7m/s^2 and the motorcycle accelerates at a uniform rate of 4.40m/s^2, at what position will they pass each other relative to the car's starting point?

2. Relevant equations
d=(Vi)(t)+1/2at^2
a=(Vf-Vi)/t

3. The attempt at a solution
i know that the time will be equal but i really just don't know where to go from there or what to do to solve.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Mar 15, 2009

### LowlyPion

Welcome to PF.

First figure how long it will take to close the distance between them to 0.

Maybe if you consider the total acceleration toward each other that can give you the time? And then with that time you can use that for the car and figure the distance it traveled when they meet?