Difficult to phrase question about plotting trajectories from a fixed array

Hi guys,

This is something that's been bugging me for hours now.

I have a system of vehicles travelling along a road with periodic boundary conditions (vehicles reach road end and loop back to start). I have defined the vehicle closest to the start of the road (x=0) as always vehicle 1, then vehicle 2, etc. This means that when a vehicle reaches the end and loops back to the start, this vehicle now becomes vehicle 1.

Recording the X positions every second, for a 30m road with 10 vehicles all moving at 1m/s gives an array like this:

       v1     v2      v3     ...    v10
t1     1       4       7             28
t2     2       5       8             29
t3     3       6       9             30
t4     1       4       7             28
t5     2       5       8             29
t6     3       6       9             30
t7     1       4       7             28

Plotting this gives:

Whereas I'd like to see:

But I can't think of a way to do this :( I'm sorry if this question is not very clear, but as I say I'm pretty stuck. Any help would be greatly appreciated.

Cheers