Let's say we have the acceleration vector, A, which gives us the acceleration of some particle as a function of its position in a three-dimensional space.(adsbygoogle = window.adsbygoogle || []).push({});

Let's say that we also know the starting point of the function, say P.

Let's say we also know the starting velocity, V.

Can we determine the path of the object? What about its velocity, speed, acceleration all as a function of time? How much information can we get knowing only the field of acceleration and the starting point?

I would think that knowing the starting point and knowing the acceleration allows you to immediately set up a differential equation involving all these vectors which we can solve to get more info, but I can't imagine how this would be done. It's only a guess, so I am probably wrong.

Ideas? Please discuss. Also, if this is in the wrong forum, please move it to the right forum so the right people can answer it.

BiP

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# Question about vector fields

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