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## Homework Statement

40kg girl and 8.4kg sled are 15m apart on the surface of a frozen lake. By means of a rope, girl exerts a horizontal force of 5.2N on the sled, pulling it towards her.

How far from the girls initial position do they meet?

## Homework Equations

f=ma

## The Attempt at a Solution

I found that the acceleration of the sled is 0.62ms^-2 and the acceleration of the girl is 0.13ms^-2. However, I do not know where to advance at this point. I tried to find time, but to do so I need speed, and speed requires time.

Thank you if you are able to help me :-)