Explanation:

Assumptions : one can travel travel back in time, and then in one the direction of choice.

two points, A and B, distance between them 5 m, as time is both a constant and relative, as you move from point A towards point B and you travel in a straight line in real time you will reach B + 5 seconds at 1 m/s (correct?) however if you travel back in time to B-5, following the real time analogy, you travel at 1 m/s, when you travel 1 m of the distance, your coordinates changes and you now travel to b-4, then to b-3, and so on, for you at the end of the journey it will be 5 s, but for everyone else you will disappear from point A and reappear at point B in the same time.

If you put this on paper you will see that your path is a curve.