Answer to Question #156501 in Physics for Val

Question #156501

On the topic of Forces and Motion, what is a velocity and acceleration vector?


1
Expert's answer
2021-01-19T07:07:57-0500

Let r\mathbf{r} be the radius vector of a point. Then by definitio, the velocity vector is the derivative of r\mathbf{r} with respect to time:


vdrdt\mathbf{v} \equiv \dfrac{d\mathbf{r}}{dt}

The acceleration vector, by definition, is the derivative of v\mathbf{v} with respect to time:


advdt=d2rdt2\mathbf{a} \equiv \dfrac{d\mathbf{v}}{dt} = \dfrac{d^2\mathbf{r}}{dt^2}

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