15MECHANICS IN ONE DIMENSION

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In this chapter, we’ll complete the story of mechanics in one dimension by developing tools for situations in which the forces on an object can depend on position as well as on time and velocity. This will require thinking about second-order differential equations, which we’ll convert into systems of first-order differential equations.

As before, we’ll transform information about the physical situation through several different forms, beginning with the object’s mass and the forces that act on it, and ending with functions that give the position and velocity of the object with time. A functional language like Haskell ...

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