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ISI2015-MMA-64

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Let the position  of a particle in three dimensional space at time $t$ be $(t, \cos t, \sin t)$. Then the length of the path traversed by the particle between the times $t=0$ and $t=2 \pi$ is

  1. $2 \pi$
  2. $2 \sqrt{2 \pi}$
  3. $\sqrt{2 \pi}$
  4. none of the above
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