dynamical list problem

[Thomas Klemm]

(01-03-2019 05:18 PM)Albert Chan Wrote:  This only work with integer speed numbers.

You can scale up a list like { 1 2 1 2.5 2 } to { 2 4 2 5 4 }.

In general you would integrate the velocity \(v(t)\) and set it equal to 5:

\(\int_t^{t+\Delta t} v(\tau)d\tau=s(\tau)\vert_t^{t+\Delta t}=s(t+\Delta t)-s(t)=5\)

And then for a given \(t\) solve for \(\Delta t\).

The average velocity for these 5 meters would then be:

\(\bar{v}(t)=\frac{5}{\Delta t}\)

You could either use linear functions or splines to approximate the velocity.
Or then just use locally constant functions as in the approach I suggested.
This makes solving for \(\Delta t\) rather easy.

Cheers
Thomas