Position, Velocity, and Acceleration using Integrals

AP Calculus AB· difficulty 3/5

For the previous car, since it stops at t=6t = 6 (velocity is 00 there) and decelerates linearly without reversing, the <strong>total distance</strong> traveled equals

  • A

    00

  • B

    6060

  • C

    120120

  • D

    180180 — same as displacement

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Explanation

Velocity is non-negative on [0,6][0, 6] (only reaches zero at end). Distance = displacement = 180180.

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