For a particle whose position along a straight line is described by a differentiable…

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

Problem

For a particle whose position along a straight line is described by a differentiable function

s(t)

in meters, which of the following gives the particle’s instantaneous acceleration in meters per second squared? (a)

\displaystyle \frac{s'(t)}{t}

(b)

\displaystyle \frac{s(t)}{t^{2}}

(c)

s''(t)

(d)

\displaystyle \frac{d}{dt}\left(\frac{s(t)}{t}\right)