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    louisianaboy2004's Avatar
    louisianaboy2004 Posts: 1, Reputation: 1
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    #1

    Jun 9, 2010, 05:43 PM
    speed, v, dimensions of A
    The speed, v, of an object is given by the equation v = At3 - Bt4 where t refers to time. What are the dimensions of A? (Express your answers using only m for distance and s for time.)
    What are the dimensions of B?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Jun 10, 2010, 05:50 AM

    I am assuming that the equation you meant to write is this:

    v = At^3 - Bt^4

    Note that we use the "^" symbol to mean "to the power of."

    I'll help you with figuring the dimension of A, then you can figure out B, OK? Since v has the dimension meters per second, that means that the quanity At^3 is also in meters/sec. The quantity t is time, in seconds. Hence you have:

    m/s = A s^3, which you can rearrange:
    A = (m/s)/(s^3) = m/(s^4)
    Or meters per second to the 4th power.

    Now, can you solve for the dimension of B?
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