|
I'm learning some applications for equation of motion. But I'm failing to relate velocity, acceleration and position. If $v=\frac{dr}{dt}$ and $a=\frac{dv}{dt}$, why $a$ is $\frac{d^2r}{dt^2}$ instead of $\frac{dr}{dt^2}$? Probably i'm lacking basic calculus or physics. |
|||||
|
|
The answer is in front of you $$ a = \frac{{\rm d}(u)}{{\rm d} t} = \frac{{\rm d}}{{\rm d} t} \left( \frac{{\rm d}(r)}{{\rm d} t} \right) = \frac{{\rm d}^2(r)}{{\rm d} t^2}$$ as a matter of convention. It is just the way we write 2nd derivatives. |
|||||
|
