Mathematics

Problem

For a particle moving along a straight line with position given by

s(t)

(in meters) as a differentiable function of time

t

(in seconds), which of the following expressions represents the particle’s instantaneous velocity at time

t

? a)

\displaystyle \frac{s(t)-s(0)}{t}

s'(t+0.1)

s'(t)

\displaystyle \frac{s(t+0.1)-s(t)}{0.1}