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... This simple problem leads to a completely general way of solving quadratic equations—because any quadratic equation can be put in a form like the above equation. The key is completing the square which, in turn, is based on our original two formulae: (x+a)2=x2+2ax+a2 (x–a)2=x2–2ax+a2 As an example, c ...
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... force and the objects radial position changes. By conservation of energy, it speeds up, then being too fast for circular motion. Newton showed that the resultant motion is elliptical, or if the velocity is much greater than circular, the orbit is unbound and hyperbolic. (The derivation is straight f ...
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... Actual linear force required to produce observed acceleration. There were several components to this measurement. The mass and the radius of the part of the wheel in contact with the tracks, rroll [indicated in Fig. 1(b)], were measured directly (which necessitated breaking the CRT to access the whe ...
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Equations of motion

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