A bug is moving along a straight wire. Its acceleration $($in inches per minute per minute$)$ after $t$ minutes is given by $A(t)=-6t.$ Its velocity after $3$ minutes is $20$ inches per minute, and its initial position $($when $t=0)$ is $60$ inches.

Find its velocity and position after $t=8$ minutes.

Its velocity after $8$ minutes is $$ inches per minute.

Its position after $8$ minutes is $$ inches.