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I have a known initial velocity (lets say 30m/s), maximum velocity(100m/s), and acceleration over time(10m/s^2), how do I find the current velocity at distance X?

I know that I could write some code that says "Oh, when V>100, V=100", but how do I express that veolcity cap mathematically?

Guest Jun 30, 2017
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Basically you do the same thing, your formula will look something like:

\(v(x)=\left\{\begin{array}{c l}v_1(x)&\text{for: }0\le x\le x_\text{max},\\v_\text{max}&\text{for: }x>x_\text{max}. \end{array}\right.\)

Honga  Jul 2, 2017

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