The History of Sir Isaac Newton

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Application of Universal Laws

Find the vertical motion of a particle near the surface of the earth, neglecting air friction.

Initial Conditions: When t = 0,

y = h and v = dy/dt = v0

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Use Second Law:

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Initial condition 1: When

,

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Initial Condition 2: When

,

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Newton Derives Kepler’s Law of Areas

Line from the sun to the planet sweeps out equal areas in equal times

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Gottfried Wilhelm Leibniz 1 July 1646– 14 November 1716) was a German philosopher and mathematician

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Controversy over who invented Calculus, Newton or Leibniz?

Today we believe that both men should share the discovery

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Isaac Newton in old age in 1712, portrait by Sir James Thornhill

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Newton enjoyed great fame in his final years

He was recognized throughout Europe as the most outstanding mathematician – scientist of his time (or maybe all time)