The Vector R(t) Is the Position Vector of a Particle $$r ( t ) = \left( 3 t ^ { 2 } + 3 \right) i + \left( 4 t ^ { 3 } - 2 t \right) k$$

question 16

Multiple Choice

The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0.
- $$r ( t ) = \left( 3 t ^ { 2 } + 3 \right) i + \left( 4 t ^ { 3 } - 2 t \right) k$$

• A) 0
• B) \(\pi\)
• C) \(\frac { \pi } { 4 }\)
• D) \(\frac { \pi } { 2 }\)

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