The parametric vector form of the position of a roller coaster is $\vec { r } ( t ) = 30 \sin ( t ) \vec { i } + 30 \cos ( t ) \vec { j } + 15 \cos ( t ) \vec { k }$ Answer the following questions about the ride.
(a)The scariest point of the ride is when it is traveling fastest.For which value of t 0 does this occur first?
(b)Does the velocity vector of the roller coaster ever point directly downward?

Question

The parametric vector form of the position of a roller coaster is $\vec { r } ( t ) = 30 \sin ( t ) \vec { i } + 30 \cos ( t ) \vec { j } + 15 \cos ( t ) \vec { k }$ Answer the following questions about the ride.
(a)The scariest point of the ride is when it is traveling fastest.For which value of t > 0 does this occur first?
(b)Does the velocity vector of the roller coaster ever point directly downward?

Quizplus · Accepted Answer

The Answer of The parametric vector form of the position of a roller coaster is $\vec { r } ( t ) = 30 \sin ( t ) \vec { i } + 30 \cos ( t ) \vec { j } + 15 \cos ( t ) \vec { k }$ Answer the following questions about the ride.
(a)The scariest point of the ride is when it is traveling fastest.For which value of t > 0 does this occur first?
(b)Does the velocity vector of the roller coaster ever point directly downward?

The Parametric Vector Form of the Position of a Roller r⃗(t)=30sin⁡(t)i⃗+30cos⁡(t)j⃗+15cos⁡(t)k⃗\vec { r } ( t ) = 30 \sin ( t ) \vec { i } + 30 \cos ( t ) \vec { j } + 15 \cos ( t ) \vec { k }r(t)=30sin(t)i+30cos(t)j​+15cos(t)k

The Parametric Vector Form of the Position of a Roller $\vec { r } ( t ) = 30 \sin ( t ) \vec { i } + 30 \cos ( t ) \vec { j } + 15 \cos ( t ) \vec { k }$