\(\displaystyle E = mc^2\) is not the "black hole formula". It's Einstein's famous equation for the book-keeping associated with conversions between mass and energy. What makes it special is the fact that if 1 Joule of energy is converted to mass, we can find out precisely
how much mass is converted.
Root(c^2)=c=Root(E/m) from (1+1=2) means energy is same with mass.
If you take the following equation
\(\displaystyle E = mc^2\)
and square root both sides
\(\displaystyle \sqrt{E} = \sqrt{m}c\)
then divide both sides by \(\displaystyle \sqrt{m}\), then you obtain
\(\displaystyle c = \sqrt{\frac{E}{m}}\)
but this is just algebra to make c the subject of the equation. It doesn't show or prove anything.
Mass and energy are, in fact, not the same; the formula is a simplification of
\(\displaystyle E^2 = m^2 c^4 + p^2 c^2\)
in the case of zero momentum (p=0). It is a formula that describes the energy
associated with an object travelling at the speed of light that has both mass and momentum. This is required because in some nuclear reactions and particle collisions, the momentum is an important contributor, such as in photo-absorption and photo-disintegration.
So when we measure energy with mass, there is no number.
Firstly, 1 + 1 = 2 is just 'counting' in mathematics. In physics, there's no additional meaning beyond what it states, which is how to get to the next number in a counting sequence.
Secondly, we can measure the mass of an object to be 10 kg and the kinetic energy of that same object to be 20 J, or 30 J, or whatever. They're physical quantities just like any other. All physical quantities have an amount (a number) and a unit (like J or kg).
(1=1. When we put 2 into equation, 1:2=1:2. It means it is changed 1=1 into 2=2. This means number is changed.)
The energy of objects changes all the time, the mass less so.
A black hole is an object whose mass is so high that no force can compete with with the gravitational force that pulls everything inside. Therefore, it collapses to an object that has a very tiny volume (some believe it to be zero; a singularity) but a finite mass. This corresponds to an enormous density (possibly infinite if the volume is zero). Black holes are very strange objects indeed and they are under intense study.
So physics formula as v=at(speed) means true as basic from its origin. (E=m*c^2)
No, the formula
\(\displaystyle v = at\)
is actually derivative of the definition of acceleration, which is
\(\displaystyle a = \frac{dv}{dt}\)
When the change in velocity is constant over some time interval we have
\(\displaystyle a = \frac{\Delta v}{\Delta t}\)
Multiply by \(\displaystyle \Delta t\) to both sides yields
\(\displaystyle \Delta v = a \Delta t\)
By definition
\(\displaystyle v_2 - v_1 = a (t_2 - t_1)\)
Finally, if the start velocity is \(\displaystyle v_1 = 0\) m/s and the start time \(\displaystyle t_1 = 0\) s, then
\(\displaystyle v_2 = a t_2\)
or, for convenience, we can drop the index, giving
\(\displaystyle v = at\)
The typical nomenclature is to keep \(\displaystyle v_1\) as an unknown (usually denoted as the symbol \(\displaystyle u\)) but to set a reference time, \(\displaystyle t_1 = 0\), for every problem. Therefore we instead have
\(\displaystyle v = u + at\)
which is one of the famous SUVAT equations for the motion of objects at constant acceleration.