Programming Game AI by Example

When you have varying accelerations like these it’s only possible to deter

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mine the acceleration at a specific time. This is achieved by calculating the

gradient of the tangent to the curve at that point.

Force

According to Isaac Newton:

An impressed force is an action exerted upon a body in order to change

its state, either of rest, or of uniform motion in a right line.

Therefore, force is that quality that can alter an object’s speed or line of

motion. Force has nothing to do with motion itself though. For example, a

flying arrow does not need a constant force applied to it to keep it flying

(as was thought by Aristotle). Force is only present where ...