If you look at some physics textbook, you will see that many of the natural laws can be described very well with mathematical relations - whether it be kinematics, dynamics, electricity, magnetism, thermodynamics, etc. The relations are sometimes simple, sometimes rather complex (advanced physics textbooks will use calculus - i.e., derivatives, integrals, etc. - all over the place).
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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.
No, but you can use physics to show students practical applications to the math that they are learning
No. A lot of physic has to do with equations and math. Physics will be easier if you are good at math. I was for me :)
Math will help, not hinder, you in this. You actually need a LOT of math, especially for physics and engineering.
math relates to everything you need math to get jobs. In physics, math is used to describe the physical word, for example math is used to determine force, energy, acceleration, and just about anything in physics.