YES
physics. mass*velocity, airflow
Yes, they are all the different types of science. Math is used in all of those.
None is part of the other, but the two are closely related. Lots of practical applications of math appear, precisely, in physics.
Science is nothing without math.. Physics and chemistry are related so far with science.. If there was no math science wouldn't exist, you couldn't calculate the problems in physics and chemistry without mathematics
Physics is entirely dependant of mathematics because mostly, physics actions require mathematic calculus to have it understood
yes a math teacher can teach physics
No, all the others are much more math-related than programming.
Of course not. Certainly, you won't be bad at physics or engineering BECAUSE OF your math skills. You NEED math for physics, and both math and physics for engineering, so somebody who is not good at math is more likely to have trouble with physics or engineering.
Billiards is not directly related to math, but is related to advanced math - Geometry, trigonometry, calculus and physics can all be used and demontrated with the complex actions that occur on a billiards table. At least one US professor uses billiards as a part of complex physics demonstrations.
No; it is usually the other way round: math is used in physics.
You'll certainly not have difficulty in physics and engineering BECAUSE you are good at math or economics; math, especially, is important in physics.