Line Integrals for trajectories

  • #1
So I was wondering if I defined a vector field F, and a Trajectory of a particle x=t y=.5at^2+vit+si
and I can find the work done by the field on a particle moving on a path with a line integral ∫F.dr, so what would this equate to for a projectile does it apply to this?, could you give me a real life example, could it possibly be wind? but wind would change it's path right? Thank you for any response.
 

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  • #2
haruspex
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Any field will affect the path. You could consider a particle on a constrained path, like a bead on a wire, but then you need to bring in the force exerted by the wire.
 

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