Mathematics

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}

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

s''(t)

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