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Posted by on Saturday, June 7, 2014 at 12:00pm.

An object with an initial position of x(0) = 3 has a velocity of v(t) =sin(t). Find its position at t =2.

  • Calculus - , Saturday, June 7, 2014 at 12:02pm

    x(t) = -cos t + c
    now you know that x(0) = 3, so plug in t=0 to find c.

    Then you can use t=2 to get x(2)

  • Calculus - , Saturday, June 7, 2014 at 12:06pm

    So the answer would be -cos(2)+4=4.416?

  • Calculus - , Saturday, June 7, 2014 at 12:13pm

    Looks good to me.

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