The only equation to calculate this that I can find involves t
in the range [0, 1], but I have no idea how long it will take to travel the entire path, so I can't calculate (1 - t)
.
I know the speed at which I'm traveling, but it seems to be a heavy idea to calculate the total time beforehand (nor do I actually know how to do that calculation). What is an equation to figure out the position without knowing the total time?
Edit To clarify on the cubic bezier curve: I have four control points (P0 to P1), and to get a value on the curve with t, I need to use the four points as such:
B(t) = (1-t)^3P0 + 3t(1-t)^2P1 + 3t^2(1-t)P2 + t^3P3
I am not using a parametric equation to define the curve. The control points are what define the curve. What I need is an equation that does not require the use of knowing the range of t
.