Mathematics

Mathematics

Problem

The position of a particle moving in space is given by the vector-valued function r(t)\mathbf r(t). Which expression gives the particle’s speed at time tt? a) ∣r(t)∣|\mathbf r(t)| b) ddt∣r(t)∣\displaystyle\frac{d}{dt}|\mathbf r(t)| c) ∣r′(t)∣|\mathbf r'(t)| d) ∣r′(t)∣2|\mathbf r'(t)|^{2}

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