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Is this calculus based physics?

whats the positive and negative direction here?

A force can always work against a system in which you ascribe a vector to be positive.

Does that make sense?

so what is positive and what is negative

can you make an example

The most simple example would probably be gravity.

*cos

but positive and negative are like east /west or north south, right?

yes

yes it oscillates

you are finding the area under that curve, and there is more area under the x-axis than above.

right its symmetric and adds up to zero

a force is just a vector, it can be negative, because it has magnitude & direction*

ok thanks, can i ask a quick question

i just want to reiterate whats going on

crap my browser froze