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Single Variable Calculus

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Difficult

Particle, How Far Have You Gone?

SVCALC-BQI6N@

A particle moves along the x-axis so that at any time $t\ge 0$, its position is given by:

$$s(t)=2\cos { (t) } +1$$

What is the total distance traveled by the particle in the interval $0\le t\le 2\pi?$

A

0

B

2

C

4

D

8