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

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The discussion confirms that a character's maximum distance in a time step can be calculated using the formula Vmax*Dt, where Vmax represents the maximum velocity and Dt is the time step duration. It is established that the character behaves like a particle with a mass of 1, influenced by various forces that determine its acceleration. The constraints on velocity and acceleration are acknowledged, specifically that the velocity must not exceed Vmax and the force must remain below a maximum threshold Amax. This relationship allows for a straightforward calculation of distance traveled within the specified time frame. Thus, the conclusion is that the maximum distance is indeed Vmax multiplied by Dt.
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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Yes, we can.
 

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