A particle moves so that its position vector at time t is given by r= et cos ti + e sin tj. Show that at any time t, (a) its velocity v is inclined to the vector r at a constant angle 37/4 radians. (b) its acceleration vector is at right angles to the vector r.
A particle moves so that its position vector at time t is given by r= et cos ti + e sin tj. Show that at any time t, (a) its velocity v is inclined to the vector r at a constant angle 37/4 radians. (b) its acceleration vector is at right angles to the vector r.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 8EQ
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