A particle moves along a circular path in such a way that is x- and y- coordinates at time t are x-2cost y-2sin e (i) Find the instantaneous velocity and speed of the particle at time t. (ii) Sketch the path of the particle, and show the position and velocity vectors at time with the velocity vector drawn so that its initial point is at the tip of the position vector. (ii) Show that at each instant the acceleration vector is perpendicular to the velocity vector.
A particle moves along a circular path in such a way that is x- and y- coordinates at time t are x-2cost y-2sin e (i) Find the instantaneous velocity and speed of the particle at time t. (ii) Sketch the path of the particle, and show the position and velocity vectors at time with the velocity vector drawn so that its initial point is at the tip of the position vector. (ii) Show that at each instant the acceleration vector is perpendicular to the velocity vector.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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