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

Multiple Choice

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

A) $\frac { 4 } { 3 }$
B) $\frac { 7 } { 3 }$
C) $\frac { 8 } { 3 }$
D) 8