$(9$ pts$.)$ A point on a rifle bullet travels according to the position function r$($t$)=9$t$2,$cos$($t$2),$sin$($t$2).($Hint: the path is a helix.$)($a$)$ Find the value of t at which the tangential component of acceleration is equal to the normal component. $($b$)$ Find the arc length function, s$($t$),$ which represents the total distance the point has traveled starting at t $=0.($c$)$ How far has the point traveled by the time it reaches the value of t given in part $($a$)$