Let r(t) = (sin(2t), 3t, cos(2t)), t E [-T, "] be the position vector of a particle at time t. (a) Show that the velocity and acceleration vectors are always perpendicular. (b) Is there any time t for which r(t) and the velocity vector are perpendicular? Is so, find all such values of t.
Let r(t) = (sin(2t), 3t, cos(2t)), t E [-T, "] be the position vector of a particle at time t. (a) Show that the velocity and acceleration vectors are always perpendicular. (b) Is there any time t for which r(t) and the velocity vector are perpendicular? Is so, find all such values of t.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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