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Math Help - Object traveling straight line...

  1. #1
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    Object traveling straight line...

    The position s(t) of an object moving along a straight line is given. Find object's velocity and acceleration and all times where acceleration is 0.

    s(t) = 3t^5 - 5t^3 - 7
    velocity = s'(t) = 15t^4 - 15t^2
    acceleration = s''(t) = 60t^3 - 30t

    0=60t^3 - 30t
    0=30t(2t^2 -1)
    0=t and
    0=2t^2 - 1
    1=2t^2
    1/2 = t^2
    square root of 1/2 = t

    Hmmmm....I doubt the last part.
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  2. #2
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    Quote Originally Posted by becky View Post
    The position s(t) of an object moving along a straight line is given. Find object's velocity and acceleration and all times where acceleration is 0.

    s(t) = 3t^5 - 5t^3 - 7
    velocity = s'(t) = 15t^4 - 15t^2
    acceleration = s''(t) = 60t^3 - 30t

    0=60t^3 - 30t
    0=30t(2t^2 -1)
    0=t and
    0=2t^2 - 1
    1=2t^2
    1/2 = t^2
    square root of 1/2 = t

    Hmmmm....I doubt the last part.
    It doth not hurt my gaze.*)

    *)Translation. Correct.
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  3. #3
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    Smile Happy Dance Of Thanks

    It's correct - never expected you to say that.
    Happy Dance and Marquaritas for everyone....


    Quote Originally Posted by ThePerfectHacker View Post
    It doth not hurt my gaze.*)

    *)Translation. Correct.
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