Tuesday 22 January 2008

Different speed

What happen if three cars with three different speed are subject to a convoy?

\begin{eqnarray*}
   v_1 > v_2 > v_3 \\
   v_{convoy} = ?
\end{eqnarray*}

(What a LaTeX freak!)

2 comments:

hpa said...

hehe... interesting! I like this one and I think the answer is : v_convoy become accelerated (OR 'negated' acceleration), because relativistic composition law for these three different speeds inherently accounts for increasing inertia.

And because of inertia itself is an attribute of energy, then the answer — accelerating v_convoy as consequence of the inertia of 3-velocities composition law — can be justified classically in observed phenomena such as : tabrakan ('ditabrak' dari belakang), atau bila objeknya sekecil partikel akan ada peningkatan momentum (entropy) convoy dan menimbulkan 'peculiarty' (non-tautology) that can be regarded as the law of inertia.

Freak? Yes, I agree. Clearly, convoy freak!! :)

hpa said...

"…ada peningkatan momentum (entropy*) convoy..."

*This is possibly the 'secret' reason why 'the triple warmer' (3 daerah panas) was exist in Taoism Ontology — following Yin-Yang duality (twin's inertia), because even though they are not in convoy, the two of them can be combined with aligned rest frame coordinate systems ('twin clutch'), so they are all can be in one worldline, at least nominally...

Considering the question : how then this very simple observed phenomena translated into LaTex? For me, there's no many hopes to answer this :p, though I sometimes use LaTeX too. That’s when these (real) cars velocities/accelerations controlled in term of coupling, twin clutch, etc...with the gas and fractions of fuel in the combustion engine associated with the 'sensor’ that linked them all to be displayed in the panel...etc.