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Homework Help: Calculus Question.

  1. Nov 14, 2006 #1

    bah

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    Calculus Question. Using velocity function to find acceleration?

    The velocity of a falling body is v=8sqrt(s-t)+1 feet per second at the instant t(sec) the body has fallen s feet from its starting point. Show that the body's acceleration is 32 ft/sec^2.

    Well, the derivative of the velocity function is acceleration, so it's v'=4(v-1)(s-t)^(-1/2)

    How do I go from there?
     
    Last edited: Nov 14, 2006
  2. jcsd
  3. Nov 15, 2006 #2
    I don't know. The RHS of the given equation doesn't have a proper dimension.
     
  4. Nov 15, 2006 #3

    NateTG

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    Homework Helper

    Well, you know that:
    [tex]v=8\sqrt{s-t}+1[/tex]
    so you could substitute that in for the [itex]v[/itex] in the second equation:
    [tex]v'=4\frac{v-1}{\sqrt{s-t}}[/tex]
    It should work out nicely from there.
     
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