Find the Length of the Curve $$x = \frac { 1 } { 2 } t ^ { 2 } , y = \frac { 1 } { 9 } ( 6 t + 9 ) ^ { 3 / 2 } , 0 \leq t \leq 1$$

Multiple Choice

Find the length of the curve.
- $$x = \frac { 1 } { 2 } t ^ { 2 } , y = \frac { 1 } { 9 } ( 6 t + 9 ) ^ { 3 / 2 } , 0 \leq t \leq 1$$

A) 2
B) 7
C) $\frac { 7 } { 2 }$
D) 4