A small object with mass $3\mathrm{.}75$ kg moves counterclockwise with constant angular speed $1\mathrm{.}65$ rad$/$s in a circle of radius $3\mathrm{.}50$ m centered at the origin. It starts at the point with position vector $3\mathrm{.}50$ m$.$ Then it undergoes an angular displacement of $9\mathrm{.}25$ rad.

$($a$)$ What is its new position vector?

m

$($b$)$ In what quadrant is the object located and what angle does its position vector make with the positive x$-$axis?

$---$Select$---$

first

second

third

fourth at $$

$($c$)$ What is its velocity?

m$/$s

$($d$)$ In what direction is it moving? $($Give a negative angle.$)$

$$ from the $+$x direction.

$($e$)$ What is its acceleration?

m$/$s$2$

$($f$)$ What total force is exerted on the object?