The second derivative of a particle’s position is

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

Problem

The second derivative of a particle’s position is s′′(t)s''(t), and its units are feet per second squared (ft/s2^{2}). The independent variable tt is measured in seconds. Which of the following units is most consistent for the position function s(t)s(t)? (a) ft/s\text{ft}/\text{s} (b) ft\text{ft} (c) ft/s3\text{ft}/\text{s}^{3} (d) ft s2\text{ft}\,\text{s}^{2}

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