Find the Arc Length For $\mathbf { r } ( t ) = \mathbf { i } + 5 t ^ { 2 } \mathbf { j } + 8 t ^ { 3 } \mathbf { k } \text { over the interval } [ 0,2 ] \text {. Round your }$

Multiple Choice

Find the arc length for $\mathbf { r } ( t ) = \mathbf { i } + 5 t ^ { 2 } \mathbf { j } + 8 t ^ { 3 } \mathbf { k } \text { over the interval } [ 0,2 ] \text {. Round your }$ answer to two decimal places.

A) 67.63
B) 73.37
C) 79.40
D) 49.75
E) 62.97