Mathematics

Problem

The cycloid is given parametrically by

x=t-\sin t

and

y=1-\cos t

for

0<t<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}{2}