$\text { Find } \mathbf { r } ^ { t } ( t ) \cdot \mathbf { r } ^ {tt } ( t ) \text { given the following vector function. }$

question 21

Multiple Choice

$\text { Find } \mathbf { r } ^ { t } ( t ) \cdot \mathbf { r } ^ {tt } ( t ) \text { given the following vector function. }$
$\mathbf { r } ( t ) = \left( 2 t ^ { 2 } + 2 t \right) \mathbf { i } + \left( 3 t ^ { 2 } + 4 t \right) \mathbf { j }$

• A) \(32 + 52 t\)
• B) \(16 + 52 t\)
• C) \(32 + 26 t\)
• D) \(16 + 26 t\)
• E) \(32 + 52 t ^ { 2 }\)