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1. Suppose that r(t) = (3 cos(3t) t,3 sin(3t), 5t). %3D a. Determine the velocity, the acceleration and the speed for t = T/2. %3D b. Determine whether the angle between the velocity vector and the acceleration vector for t = T/2 is right, acute or obtuse. c. Find the vector equation of the tangent to the trajectory of r for t = 7/2.

1. Suppose that r(t) = (3 cos(3t) t,3 sin(3t), 5t). %3D a. Determine the velocity, the acceleration and the speed for t = T/2. %3D b. Determine whether the angle between the velocity vector and the acceleration vector for t = T/2 is right, acute or obtuse. c. Find the vector equation of the tangent to the trajectory of r for t = 7/2.

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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1. Suppose that r(t) = (3 cos(3t) t,3 sin(3t), 5t). a. Determine the velocity, the acceleration and the speed for t = T/2. b. Determine whether the angle between the velocity vector and the acceleration vector for t = T/2 is right, acute or obtuse. c. Find the vector equation of the tangent to the trajectory of r for t = 7/2.
Transcribed Image Text:1. Suppose that r(t) = (3 cos(3t) t,3 sin(3t), 5t). a. Determine the velocity, the acceleration and the speed for t = T/2. b. Determine whether the angle between the velocity vector and the acceleration vector for t = T/2 is right, acute or obtuse. c. Find the vector equation of the tangent to the trajectory of r for t = 7/2.
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