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Curvilinear abscissa confusion
How's exactly defined the curvilinear abscissa in kinematics? Surfing on the net I found different definitions:
a) Fixed a point $O$ and a direction, the curvilinear abscissa $s$ at a point $P$ is ...
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1answer
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Relationship between acceleration, velocity and position
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 $\frac{d^2r}{dt^2}$ ...
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votes
3answers
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Differential squared vs. differential of squared
Why it is said that
$$\frac{dx^2}{dt^2}=\upsilon^2$$
I can only understand the following one:
$$\left (\frac{dx}{dt} \right)^2=\upsilon^2$$
Edit:
Excerpt from Landau's Mechanics:
Execrpt from ...