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## Homework Statement

If the relative velocity of object B to object A is 10 m/s, and the relative velocity of object C to object B is 10 m/s, what is the relative velocity of object C to object A?

## Homework Equations

These should be vectors just to give a heads up

v

_{bs}= v

_{bw}+v

_{ws}

v

_{ba}=v

_{ab}

These are the equations given in my book

## The Attempt at a Solution

My first attempt was using the second eqaution since the question before it was similar but it did not have c and I used the second formula and I got it right.

The second formula uses the idea of reference frames. So A and B have the same magnitude but different direction. So B and C is the same. So -10m/s -10m/s= -20 m/s. I was given this option and was told it was wrong. Then I made it an absolute value and it was wrong. So would it be -10m/s + 10m/s. Because if B is -10m/s, the opposite magnitude would be 10m/s and adding them together would give me 10? Or would I need more information to solve this.