How can we move an object from A to B and then return it to the same psition which is A ?

if we move the object below from position A (-50,50) to position B. how can we make return to A position again ??

thanks in advance

  oldPosition = [-50 ,50];
agleoption = [-14.3239 -7.1620 -4.7746 1.4324 1.5915 1.7905 7.1620 14.3239];  
abgle = agleoption(length(agleoption),1);
DXrotated = [cos(angle(:)) .* v1 ,sin(angle(:)) .* v1]; % displacement ,v1 is velocity of an object, v1=2 m/sec

newPosition = oldPosition + DXrotated;


  

Answer 1

[Karim]

I tried to made a commented example, hope it helps

% initial poistion at x = -50 m and y = 50 m
oldPosition = [-50; 50];

% set up the velocity vector -> x = 2 m/s and y = 0 m/s
Velocity = [2; 0];

% a list with angluar options --> in radians
angleoption = [-14.3239 -7.1620 -4.7746 1.4324 1.5915 1.7905 7.1620 14.3239];

% pick an angle from the options
MyAngle = angleoption(end);

% set up the rotation matrix as a function 
MyRot =@(x) [cos(x) -sin(x); sin(x) cos(x)];

% obtain the rotated velocity vector
MyDir = MyRot(MyAngle) * Velocity

MyDir = 2×1

-0.3713 1.9652

% new position equals the old position plus the displacement obtained after a single step
newPosition = oldPosition + MyDir

newPosition = 2×1

-50.3713 51.9652

% to move backwards, change the sign of the sign of the rotated velocity vector
startPosition = newPosition - MyDir

startPosition = 2×1

-50 50

[omar th]

@Karim Thank you so much for your response. According to my code the point that I move it from position A to position B, I want to calculate X value at point B. But the problem, I couldn't measure X at B. My question is that, how can I let the point measure its X value at each position that reach it.

Thanks in advance

oldPosition = [-50; 50];
Velocity = 2
angleoption = [-14.3239 -7.1620 -4.7746 1.4324 1.5915 1.7905 7.1620 14.3239];
for ii=1:numel(angleoption)

    pickangle11 = angleoption(ii)
    mydir = [cos(pickangle11(:)) .* Velocity ,sin(pickangle11(:)) .* Velocity];
    newPosition  = oldPosition + mydir
    startPosition = newPosition  - mydir
    
    X(ii)=random value % just an example...means at each direction the point at
   % A position is 10 and at B is ? here when its move from A to B I got 10
   % or the same value at A for all directions and positions that
   % reached.
   % MEANS X VALUE DOESN'T MEASURED AT THE NEW POSIOTIONS

end