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

[Sarah R.]

Homework Statement

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.

Homework Equations

Position = velocity * dt

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.

 

[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.