\(x=-\cfrac{|F_{drag}|}{n.m_b\omega^2}sin(\cfrac{\pi}{2}-s)*cos(s)\)
and
\(y=\cfrac{|F_{drag}|}{n.m_b\omega^2}sin(\cfrac{\pi}{2}-s)\)
upwards, we have a mushroom cloud,
The blast drove \(T^{-}\), negative temperature particles to terminal speed, the drag force they experience sheds the the big particles into smaller groups of \(n\) basic particles and send them off to a trajectory defined by the parametric equations above. The negative temperature particles are driven off first in a blast, because of their lighter inertia. They cause moisture in the atmosphere to condense into clouds. The positive temperature particles that follow infuse into the clouds and create a mix of heat and steam.
The top widest canopy is likely to correspond to \(n=1\).
A small "bood" for man, a big KaBoom for mankind.
Note: It is possible to disregard the direction of \(x\) and flip \(x\) around,
\(x=\cfrac{|F_{drag}|}{n.m_b\omega^2}sin(\cfrac{\pi}{2}-s)*cos(s)\)
\(y=\cfrac{|F_{drag}|}{n.m_b\omega^2}sin(\cfrac{\pi}{2}-s)\)
\(x=y*cos(s)\)
Since,
\(sin(\cfrac{\pi}{2}-s)=cos(s)=\cfrac{y}{\cfrac{|F_{drag}|}{n.m_b\omega^2}}\)
\(\cfrac{|F_{drag}|}{n.m_b\omega^2}x=y^2\)
\(y=\sqrt{\cfrac{|F_{drag}|}{n.m_b\omega^2}}\sqrt{x}\)
in this case the quadratic is parameterized by \(\cfrac{1}{\sqrt{n}}\).
A profile is different from an equation. In a profile the direction of the slope of the shape presented with reference to \(y=0\) or \(x=0\) is important. An equation shows the relationship between the variables involved.
