Calculus

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The velocity of an object t seconds after it started moving is t(t-6). Find the total change in the object's position in the 6th second.

  • Calculus -

    v = t^2 - 6 t
    x = (1/3)t^3 - 3 t^2 + c

    x(6) = (1/3)(36*6) - 3 (36) + c
    = 72 - 108 + c = -36 + c

    x(5) = (1/3)(125) - 75 + c
    = -33.3 + c

    x(6)-x(5) = -36 + c +33.3 - c
    = - 2 2/3

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