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Straight-Line Motion: Position, Velocity, Acceleration

AP Calculus AB· difficulty 2/5

A particle's velocity is v(t)=t2−5t+6v(t) = t^2 - 5t + 6. It is at rest when

  • A

    t=0t = 0 only

  • B

    t=2t = 2 and t=3t = 3

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  • C

    t=1t = 1 only

  • D

    Never

Explanation

v=0v = 0: t2−5t+6=(t−2)(t−3)=0⇒t=2,3t^2 - 5t + 6 = (t-2)(t-3) = 0 \Rightarrow t = 2, 3.

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