For a particle whose displacement is metres at time seconds

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

Problem

For a particle whose displacement is

s(t)

metres at time

t

seconds, which of the following expressions represents its instantaneous velocity? (a)

\dfrac{s(t+1)-s(t)}{1}

(b)

\dfrac{d^{2}s}{dt^{2}}

(c)

\dfrac{ds}{dt}

(d)

\displaystyle \int s(t)\,dt