The average rate of change of a car’s displacement function over the interval seconds…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The average rate of change of a car’s displacement function s(t)s(t) over the interval [2,5][2,5] seconds is negative. Which statement best describes the car’s motion during this time? (a) The car’s velocity decreased, so it slowed down while continuing forward motion. (b) The car travelled backward at a uniform speed throughout the interval. (c) The car’s displacement decreased, indicating it moved in the reverse direction. (d) The car’s negative average rate of change signifies a negative acceleration, although it still moved forward.

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