In this paper, Einstein concluded that the instantaneous velocity would be impossible to measure in practice due to the very rapid randomization of the motion.
22.
In the spring of 2010, the Raizen Group measured the instantaneous velocity of a Brownian particle, over 100 years since the original prediction by Einstein.
23.
With \ mathbf { v } \ epsilon \ mathbb { R } ^ 3, the instantaneous velocity of the target with respect to the observer.
24.
Two points of a rotating body will have the same instantaneous velocity only if they happen to lie on an axis parallel to the instantaneous axis of rotation.
25.
Where is the position of the electric charge relative to the center of the circle and is the instantaneous velocity of the charge, giving an electric current density.
26.
This is easy-consider the trajectory of the fall; model or measure the instantaneous velocity and position, and construct a power dissipation graph vs . time.
27.
In a time-space diagram, the instantaneous velocity, v = dx / dt, of a vehicle is equal to the slope along the vehicle s trajectory.
28.
So the instantaneous velocity of the Brownian motion can be measured as v = ?x / ?t, when ?t < < ?, where ? is the momentum relaxation time.
29.
Relative to this lab frame, the instantaneous velocity of the particle is with magnitude " v " } } bounded by the speed of light, so that.
30.
Where \ mathbf { r } is the position of the charge q relative to the center of the circle and \ mathbf { v } is the instantaneous velocity of the charge.
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