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Math Help - Finding acceleration given velocity

  1. #1
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    Finding acceleration given velocity

    A particle moves along a straight line. When it is a distance s from a fixed point, where s > 1, the velocity v is given by v = (3s + 2) / (2s-1). Find the acceleration when s = 2


    When I first did this problem I thought that the answer was simply -7/(2s-1)^2 = -7/9= acceleration

    But it turns out you have to use acceleration=dv/dt= dv/ds x ds/dt= v x dv/ds

    So the correct answer would just be (-7/9) x (3s+2)/(2s-1), substituting 2 for s?

    I would appreciate it if you could tell me if the above method ^^^^ is right or if I need to do something else. Thanks!





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  2. #2
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    Re: Finding acceleration given velocity

    Your thought is because the particle is moving along a straight line, \dfrac{ds}{dt} = v? That sounds correct to me.
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  3. #3
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    Re: Finding acceleration given velocity

    So is the answer to this whole problem -56/27 ?
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  4. #4
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    Re: Finding acceleration given velocity

    I believe so.
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