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Straight-Line Motion: Position, Velocity, Acceleration

AP Calculus AB· difficulty 3/5

For position s(t)=cos⁡ts(t) = \cos t on [0,2π][0, 2\pi], the particle is at rest at

  • A

    Never

  • B

    t=0,π,2πt = 0, \pi, 2\pi

    check_circle
  • C

    t=π/2t = \pi/2 and 3π/23\pi/2

  • D

    Continuously

Explanation

v=−sin⁡t=0⇒t=0,π,2πv = -\sin t = 0 \Rightarrow t = 0, \pi, 2\pi on the interval.

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