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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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