maybe. You also need a knowledge / interest in science.
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It really depends. If you are good at understanding the concepts of math and you think you can grasp the concepts of physics (which is not bad at all), then you will do fine in physics. Physics is like 50% math 50% concepts. This is my second year of physics (I am doing Physics with Calculus now) and it really isn't as bad as most people think.
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 :)
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, a person who is good at math will have the best chance of doing well in physics.
Math will help, not hinder, you in this. You actually need a LOT of math, especially for physics and engineering.