A particle moves along the curve defined by and

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

A particle moves along the curve defined by

x = t - \sin t

and

y = 1 - \cos t

. Determine the value of

\dfrac{d^{2}y}{dx^{2}}

at

t = \dfrac{\pi}{3}

. (a)

4

(b)

-4

(c)

-2

(d)

\dfrac{4}{\sqrt{3}}

Related theory

Browse the problem library