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Physics

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    $\begingroup$ $x_{\tau} = x -\vec{v}t^2$ this equation is invalid, units does not match in terms. $\endgroup$ Commented Jan 31, 2023 at 21:44
  • $\begingroup$ $\vec{v}$ is not velocity in this context though, just some constant vector v, corresponding to a velocity of $2\vec{v} t [m/s]$, $2\vec{v}$ having units $m/s^2$ (its acceleration) giving the total units $m/s^2 * s^2 = m.$ $\endgroup$ Commented Jan 31, 2023 at 22:54
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    $\begingroup$ You can measure acceleration with an accelerometer without referring to any other frame. $\endgroup$ Commented Feb 1, 2023 at 0:55
  • $\begingroup$ Accelerometers measure changes in acceleration throughout the accelerometer, in freefall when all parts are accelerating at the same time the accelerometer reads zero for example in freefall $\endgroup$ Commented Feb 1, 2023 at 11:28