A carousel is initially at rest. At t $=0$ it is given a constant angular acceleration $=0\mathrm{.}060$ rad$/$s$2,$ which increases its angular velocity for $8\mathrm{.}0$ s$.$ Determine the magnitude of the tangential $($linear$)$ acceleration of that child.

to$.$

$0\mathrm{.}15$ m$/$s$2$

b$.$

$1\mathrm{.}90$ m$/$s$2$

c$.$

$3\mathrm{.}00$ m$/$s$2$

d$.$

$0\mathrm{.}72$ m$/$s$2$