The total external force on the $2-$kg object is given as a

function of time by At time the ob$-$

ject$$s position and velocity are and

$($a$)$ Use Newton$$s second law to determine the object$$s velocity v

and position r as functions of time.

$($b$)$ By integrating with respect to time from to

determine the angular impulse about O exerted on the

object during this interval of time.

$($c$)$ Use the results of part $($a$)$ to determine the change in the ob$-$

ject$$s angular momentum from to t t $2=6$ s$.$