Mathematics

Problem

A cycloid is traced by the parametric equations

x(t)=t-\sin t

and

y(t)=1-\cos t

for

0\le t\le 2\pi

. What is the value of

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

t=\pi

? a)

0

\dfrac{1}{4}

-\dfrac{1}{4}

-\dfrac{1}{8}