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scottsdale CC

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At 0.100 s intervals, the x
coordinates of a particle are
0, 1.01 cm, 2.05 cm, and 3.12
cm. Estimate the
instantaneous velocity and
acceleration at t = 0.

  • ??? -

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  • calculus -

    [f(.1)-f(0)]/.1 = .1
    so, f'(0) is about .1

    [f(.1)-f(0)]/.1 = .1
    [f(.2)-f(.1)]/.1 = .5
    so, f''(0) is about .4

    looks like f(x) = 10x + x^2 + 4/3 x^3 ...

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