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Taylor polynomial application

  1. Oct 29, 2013 #1
    1. The problem statement, all variables and given/known data

    A car is moving with speed 10m/s and acceleration 1 m/s^2 at the given instant. Using a second-degree Taylor polynomial, estimate how far the car moves in the next second.

    2. Relevant equations

    3. The attempt at a solution
    I don't get how you're supposed to apply taylor polynomials to this problem. I actually got the right answer, but that was from plugging in acceleration, velocity, and t=1 second into the physics equation d=(1/2)at^2+v(original)*t.
  2. jcsd
  3. Oct 29, 2013 #2


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    If I have a function f(t), and I tell you what f(0), f'(0) and f''(0) are, can you approximate f(t) with a second degree Taylor polynomial?
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