# Position-time graph made with info from a velocity time graph

## Homework Statement

I have been given three velocity-time graphs, and have been asked to use the data from these to create position-time graphs. Each graph represent a route that generally goes south. Changes in direction to go east or west and gradual changes in velocity and time to stop at intersections, and so on, have not been included.

To explain the first velocity/time graph:

70km/h (S) travelled for 5 min, then in no time it jumps to 90km/h (S) from t=5 to t=35, then in no time it switches to 80km/h (S) from t=35 min to t=65 min

## Homework Equations

I know that distance= time X speed, and velocity is change in position/change in time, so does that mean I use change in position = velocity X change in time?

## The Attempt at a Solution

5min = 0.083 hours

V X T = 70km/h (s) X 0.083 h = 5.81 km
So, does this mean that at five minutes on the position-time graph, I mark down 5.81 km as the position? And for the second one:

30 min (from t=5 to t=35) = 0.5 hour
90km/h (s) X 0.5h = 45 km

So, do I mark down the first position as 5.81km and the second position as 45km?

If I did this wrong, please tell me the correct equation and show me how to complete this problem so I can learn, I have been trying to teach myself physics and it is hard, so being shown how to complete this problem would help

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