Straight-Line Motion: Position, Velocity, Acceleration

AP Calculus AB· difficulty 2/5

A particle's position is s(t)=t36t2s(t) = t^3 - 6t^2. Its velocity is

  • A

    3t26t3t^2 - 6t

  • B

    3t212t3t^2 - 12t

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  • C

    3t2+12t3t^2 + 12t

  • D

    t312tt^3 - 12t

Explanation

Velocity = s(t)=3t212ts'(t) = 3t^2 - 12t.

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