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Representing Motion

AP Physics 1· difficulty 4/5

x t

A position-time graph has a tangent line at t=4 st = 4\text{ s} that passes through points (2 s,6 m)(2\text{ s}, 6\text{ m}) and (6 s,22 m)(6\text{ s}, 22\text{ m}). What is the instantaneous velocity at t=4 st = 4\text{ s}?

  • A

    4.0 m/s

    check_circle
  • B

    2.0 m/s

  • C

    5.5 m/s

  • D

    7.0 m/s

Explanation

Slope of tangent: v=(22−6)/(6−2)=16/4=4.0 m/sv = (22 - 6)/(6 - 2) = 16/4 = 4.0\text{ m/s}.

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