Find the Length of the Curve $$x = t ^ { 3 } , y = 2 t ^ { 2 } , 0 \leq t \leq 1$$

Multiple Choice

Find the length of the curve.
- $$x = t ^ { 3 } , y = 2 t ^ { 2 } , 0 \leq t \leq 1$$

A) $\frac { 122 } { 3 }$
B) $\frac { 1 } { 27 }$
C) $\frac { 61 } { 27 }$
D) $\frac { 125 } { 27 }$