Mathematics

Mathematics

Problem

A particle travels along the circle of radius 55 according to r(t)=⟨5cos⁡t,5sin⁡t⟩\mathbf{r}(t)=\langle 5\cos t, 5\sin t\rangle for 0≤t≤π0 \le t \le \pi. What is the particle’s average speed on this interval? a) 5π units s−15\pi\,\text{units}\,\text{s}^{-1} b) 10π units s−1\frac{10}{\pi}\,\text{units}\,\text{s}^{-1} c) 5 units s−15\,\text{units}\,\text{s}^{-1} d) 25 units s−125\,\text{units}\,\text{s}^{-1}

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