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Homework Help: In-frame time derivative proof

  1. Nov 4, 2006 #1
    Could someone please help with this question.

    For non-inertial frames show that the in-frame time derivative D obeys:

    Where f is a scalar function and a is a vector.

    I know that Df=df/dt and that Da= the sum of the derivatives of the components of a times the relavant basis vector. But cant seem to apply this to prove the question.
  2. jcsd
  3. Nov 5, 2006 #2
    Well for the non inertial observer, the a vector is a time dependent function. So actually you get [tex] \vec{a} = a \cdot \vec{e_t}[/tex]. Hence the [tex]D \vec{a} = a \cdot \frac{d \vec{e_t}}{dt}[/tex].

    Last edited: Nov 5, 2006
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