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Math Help - Velocity

  1. #1
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    Velocity



    The figure above shows the graph of the velocity of a moving object as a function of time. At which point is the speed the greatest?

    I would think B since its a relative max and velocity=speed , however a friend told me something that is making me second guess my answer

    Please help
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  2. #2
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    Quote Originally Posted by rawkstar View Post


    The figure above shows the graph of the velocity of a moving object as a function of time. At which point is the speed the greatest?

    I would think B since its a relative max and velocity=speed , however a friend told me something that is making me second guess my answer

    Please help
    speed = |v|
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  3. #3
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    Smile

    Quote Originally Posted by rawkstar View Post


    The figure above shows the graph of the velocity of a moving object as a function of time. At which point is the speed the greatest?

    I would think B since its a relative max and velocity=speed , however a friend told me something that is making me second guess my answer

    Please help
    at the point D.
    Why ?
    as "Skeeter" wrote,you should take the maximum "absolute value" of all the given velocities.
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  4. #4
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    Sorry , it's Velocity with respect to time ~ I thought distance w.r.t time.

    D is the answer...
    Last edited by Aladdin; December 27th 2009 at 10:22 AM.
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  5. #5
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    Hello, rawkstar!



    The figure above shows the graph of the velocity of a moving object as a function of time.
    At which point is the speed the greatest?
    We can baby-talk our way through this.
    . . I'll make up some numbers . . .

    At A, the velocity is +2.
    The object is moving to the right at 2 ft/sec.

    At B, the velocity is +3.
    The object was speeding up and is now moving to the right at 3 ft/sec.

    Then the object slows down
    and at C it has completely stopped (velocity = 0).

    Then the object moves to the left (negative velocity)
    and speeds up until point D, where the velocity is, say, -6 ft/sec.

    Then it slows down until point E where it is moving at only -1 ft/sec,
    still moving to the left.


    Since speed \,=\,| velocity|, the maximum speed is at point D.

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    Thanks!
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