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On the derivation of the jerk term in tensor notation
The jerk vector $\mathbf{J}(t)$ may be (element-wise) written as
$$J^{i} = \frac{d A^{i}}{d t} + \Gamma^{i}_{jk} A^{j}V^{k}~~~~(*).$$
However, I can't correctly get the second term of the RHS above. ...
user89243
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Question about derivation of four-velocity vector
In order to describe a notion of rate of change of positon, in four-dimensional spacetime, we have to introduce the concept of four-velocity.
So, consider the following:
For a massive particle ...
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