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i am an 11th grade student who loves physics and i have been doing lots of advanced problems from books like irodov,etc.

I recently came across something called mathmatical modelling via differential equations.

And my teacher once mentioned that u can solve most of problems of mechanics via placing the system on a coordinate system and then writing differential equations and stuff like that.

Is it true???

Can u solve problems of collisions???

Is this a part of mathematical modelling???

I want to learn more about the use of coordiate geometry in physics especially mechanics.

Please help.