Using Accumulation Functions and Definite Integrals

AP Calculus AB· difficulty 2/5

A car's velocity is v(t)=6010tv(t) = 60 - 10t mph for t[0,6]t \in [0, 6]. The total displacement (mi) is

  • A

    120120

  • B

    360360

  • C

    00

  • D

    180180

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Explanation

06(6010t)dt=360180=180\int_0^6 (60 - 10t)\,dt = 360 - 180 = 180.

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