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The parametric vector form of the position of a roller coaster is 7 (t) = 30 sin (t) 7 + 30 cos (t) 7 + 15 cos (t) 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? t = T (b) Does the velocity vector of the roller coaster ever point directly downward?

The parametric vector form of the position of a roller coaster is 7 (t) = 30 sin (t) 7 + 30 cos (t) 7 + 15 cos (t) 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? t = T (b) Does the velocity vector of the roller coaster ever point directly downward?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The parametric vector form of the position of a roller coaster is 7 (t) 30 sin (t) + 30 cos (t) + 15 cos (t) 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? t = П = (b) Does the velocity vector of the roller coaster ever point directly downward?
Transcribed Image Text:The parametric vector form of the position of a roller coaster is 7 (t) 30 sin (t) + 30 cos (t) + 15 cos (t) 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? t = П = (b) Does the velocity vector of the roller coaster ever point directly downward?
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