A particle moves along a line with velocity function

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

Problem

A particle moves along a line with velocity function v(t)v(t), where tt is measured in seconds. Which of the following best describes a quantity whose derivative with respect to tt equals v(t)v(t)? (a) The particle’s acceleration (b) The particle’s position, differing by at most a constant (c) The particle’s total distance traveled since t=0t=0 (d) The particle’s speed

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