If denotes the displacement of a particle along a straight line

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

Problem

s=s(t)

denotes the displacement of a particle along a straight line, which of the following represents its acceleration at time

t

? (a)

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

(b)

\displaystyle \tfrac12\,\dfrac{d^{2}s}{dt^{2}}

(c)

\displaystyle \frac{d^{2}s}{dt^{2}}

(d)

\displaystyle \frac{1}{t}\,\frac{ds}{dt}