Eh.... it really depends on how well you can handle word problems actually. Think of most physics problems as the word problems in algebra you have tried. The math should be okay for you to handle, as long as all the equations you will learn are in discrete form rather than differential form, which requires calculus.
But really, being good at math is definitely a hand up in learning physics, if not a requirement.
Whenever you've heard the term "mechanics" associated with some level of physics, they are referring to the mathematics. Everything is explained using equations and then interpreting those equations based on the problem you are trying to solve.
Eventually, if you stick in long enough, everything boils down to differential equations and must be solved using calculus. But EVEN THEN, alegrba is paramount in reducing equations and solving for unknown variables.
I think you'll do just fine.
Just imagine how the students are going to feel that hate math lol
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Being able to use algebra is essential to studying physics. Being good with algebra can make studying physics easier than it would be if you were not good with algebra. However, being good with algebra will not ensure that you will find studying physics to be easy.
After my opinion it is not true: if you are good at mathematics you must be good at chemistry and physics.
That should probably be easy. Try it out to be sure.
That's a hard question. The only thing I can think of is when Quinn says that Basketball is Basic Geometry & Physics on Zoey 101. I'm not sure how they're related. Good question.
Calculus will help but there is more to physics than just that.