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59 views

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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252 views

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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251 views

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 ...