- #1

fog37

- 1,568

- 108

Hello,

Newton's second law, when the mass is constant, tells us that the acceleration ##a=\frac {F}{m}## which produces a simple ODE.

The acceleration is a function that can be constant ##a= constant##, time-dependent ##a(t)##, velocity-dependent ##a(v)##, position dependent ##a(x)##, etc.

What is the most general form of acceleration? Would it be $$a=a(x,t,v)$$ ?

Or can it depend on other variables, like higher order derivatives? I don't think so since those higher derivatives...

Newton's second law, when the mass is constant, tells us that the acceleration ##a=\frac {F}{m}## which produces a simple ODE.

The acceleration is a function that can be constant ##a= constant##, time-dependent ##a(t)##, velocity-dependent ##a(v)##, position dependent ##a(x)##, etc.

What is the most general form of acceleration? Would it be $$a=a(x,t,v)$$ ?

Or can it depend on other variables, like higher order derivatives? I don't think so since those higher derivatives...

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