I am not sure you are describing your first question clearly. Is what your trying to ask is if you can find the gap between each variable of "time" and plot it against X & Y? If so, the answer is yes you can. You can calculate the gaps via this:
A = [time];
B = [time(2:end)];
C = time(end);
D = [B;C];
E = D-A.
E will be your gap vector, which you can use to plot against X and Y in the 3D plot.
Regarding your question about direction, yes you can find the direction. To do this use the following formula:
R = sqrt( (SpeedX^2)+(SpeedY^2)+(2*SpeedX*SpeedY*cos(pi/2) )
and
α = arctan( ((SpeedY)*sin(pi/2)) / (SpeedX+(SpeedY*cos(pi/2))) )
where:
- R = Magnitude of resultant vector
- α = Direction of resultant vector
- SpeedX = Magnitude of vector X, aka the velocity of X
- SpeedY = Magnitude of vector Y, aka the velocity of Y
- θ = Angle between two vectors, which in every case is pi/2 since the vectors SpeedX & SpeedY will always being 90 degrees from one another.
Notice that you do not need PositionX, and PositionY to calculate direction. These calculations will allow you to graph the direction and magnitude against the original given variables and can be legitimate so long as SpeedX, SpeedY, PositionX, PositionY, and time all are the same array size.
If you need further clarification, please let me know. Seems as though you are dealing with physics.
