Let the Position Function of a Particle Be $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , 2 t , e ^ { t } \right\rangle$

question 28

Multiple Choice

Let the position function of a particle be $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , 2 t , e ^ { t } \right\rangle$ . Find the velocity of the particle when t = 1.

• A) \(( 2,2,1 )\)
• B) \(( 2,2 , e )\)
• C) \((2,0,1 )\)
• D) \(( 2,0 , e )\)
• E) \(( 1,1,1 )\)
• F) \(( 1,1 , e )\)
• G) \(( 1,0,1 )\)
• H) \(( 1,0 , e )\)

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