with solution A1(r,ϵ)A1(r,ϵ). In particular, for ϵ=0ϵ=0 you get the solution A1(r,0)A1(r,0) which is a solution for ddrA=F(A,r)ddrA=F(A,r), so you should get the same solutions (if they agree at a point and the differential equation behaves nicely enough to get a unique solution).Tutuapp 9apps...
So, your difficultly in this class is absolutely normal. The mathematical maturity will come. If you are talented, it will come quickly with sufficient effort. If you are not, it will take more practice, but you will get it. Just keep at it, and don't cut corners. If you are unsure of a physical...
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In the banked track scenario you are interested in the horizontal component of the normal force which will contribute to the net horizontal force which provides the centripetal acceleration.
In the inclined plane scenario you are interested in the component of the normal force parallel to the...
Lying flat sounds like a bad idea, since the collision will be quicker and the forces stronger. If you stand up and do not lock your knees, at least some expendable parts of you have distance and time to crumple up, absorbing some of the energy, before the vital organs hit hard surfaces. This...