# How do I graph the position for this velocity-time graph?

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1. Nov 16, 2015

### Sarah R.

1. The problem statement, all variables and given/known data
Between t = 0 seconds to t = 2 seconds the velocity is 3 m/s ihat. Between t = 2 seconds and t = 6 seconds the velocity is -2 m/s ihat. I need to know what the position is at each second.

2. Relevant equations
Position = velocity * dt

3. The attempt at a solution
I know that the position for the first 2 seconds is a linear line with a slope of 3 m/s. But I'm not sure about the position for t = 2 seconds through t = 6 seconds.

2. Nov 16, 2015

### Simon Bridge

The velocity is the slope of the line.
You know the position at t=2s, and you know the slope... so use a ruler.
If you get confused... the velocity is the amount the position changes by in one second.
Between 2 and 3 seconds, what is the velocity?

Your equation is incorrect: if displacement is s, then ds = v.dt
For constant acceleration a this turns into the suvat equations.