A particle is executing circular motion with a constant angular frequency of

$=4\mathrm{.}33$ rad$/$s$.$

If time

t $=0$

corresponds to the position of the particle being located at

y $=0$

and

x $=6\mathrm{.}2$ m$,$

answer the following. $($Express your answers in vector form.$)$

$($a$)$

What is the position of the particle $($in m$)$ at

t $=12$ s$?$

r $=$

$(0\mathrm{.}884$i$+6\mathrm{.}138$j$)$

m

$($b$)$

What is its velocity $($in m$/$s$)$ at this time?

v $=$

$(26\mathrm{.}89$i$3\mathrm{.}63$j$)$

m$/$s

$($c$)$

What is its acceleration $($in m$/$s$2)$ at this time?

a $=$

$(15\mathrm{.}85$i$114\mathrm{.}37$j$)$

m$/$s$2$