A ball swings counterclockwise in a vertical circle at

the end of a rope $1\mathrm{.}50m$ long. When the ball is $36\mathrm{.}9$

past the lowest point on its way up$,$ its total acceleration

is $(-22\mathrm{.}5$hat$(i)+20\mathrm{.}2$hat$(j))\frac{m}{s^2}.$ For that instant, $($a$)$ sketch a

vector diagram showing the components of its acceler$-$

ation, $($b$)$ determine the magnitude of its radial accel$-$

eration, and $($c$)$ determine the speed and velocity of

the ball.