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Math Help - Differentiate a = - kv^2

  1. #1
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    Differentiate a = - kv^2

    Hi everyone!

    Can you please explain to me how to differentiate a = -kv2, where a is acceleration, v is velocity, and k is a constant.

    I am supposed to differentiate with respect to t , to find v(t), so it is supposed to be a = dv/dt.

    Thank you for your time!
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  2. #2
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    Re: Differentiate a = - kv^2

    Quote Originally Posted by Nora314 View Post
    Hi everyone!

    Can you please explain to me how to differentiate a = -kv2, where a is acceleration, v is velocity, and k is a constant.

    I am supposed to differentiate with respect to t , to find v(t), so it is supposed to be a = dv/dt.

    Thank you for your time!
    \frac{d}{dt}\left(-k v^2\right)=-2kv\frac{dv}{dt}=-2k v(t)a(t)
    Thanks from Nora314
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