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LARCALCETY $12\mathrm{.}3\mathrm{.}045.$

Consider the motion of a point $($br particle$)$ an the circumference of a rolling orde. As the clicle rolls, it generates the croloid $)=(sinaC$

where als the constant angular speed of the circle and Dis the radius of the croce.

Find the velocity v$($i$)$ and accoleration a$($P$)$ unctors of the purticle.

$v[0]=$

$a$;$0=$

Use the resulta to determine the times at which the speed at at the particle will the lero and masimiaed when $9$ al $2r.$

$($a$)$ zero

$ar=$

$($p$)$ maximized

at $-$

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