Prove that v(t) is any vector that depends on time

[learningphysics]

I need to work it to v^2?

Was the multiplying by two only by the knowledge of doing the first part?

yeah sort of... for the second part you somehow need to figure out that $$\frac{d(\vec{v}\cdot\vec{v})}{dt} = 2\vec{\frac{dv}{dt}}\cdot\vec{v}$$

we already proved this in the first part.

so yes, v.v = |v|^2

|v|^2 = C, so |v|=sqrt(C), which is a constant.

 

[Oblio]

Alright, I wasn't sure if multiplying by two was also a reasonable 'step' without the preknowledge.