Can a Character's Maximum Distance in a Time Step Be Determined by Vmax*Dt?

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12monkey
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Hi everyone, I have one simple question.
Let's assume that a character is moving in an environment and it can be simulated as a particle with mass =1. Several forces acted upon the character, making the character to move. In other words, the sum of the forces F equals the acceleration of the character. In addition, at any time the character is subjected to some kinematic constraints. In particlular, its velocity v can not exceed a maximum value Vmax (||v|| < Vmax) and its acceleration can not exceed a maximum value i.e. ||F||<Amax. Can we say that the maximum distance that the character can travel for a given time step Dt is Vmax*Dt?
 
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