3. A particle is moving on xy plane, with x = 15 sin 2t, and y = 20 cos 2t   Find the velocity vector as a function of time, in  i, j, k notation   Find the magnitude of the velocity as a function of time   In what kind of the orbit is this particle moving?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section3.5: Tangential And Radial Acceleration
Problem 3.5QQ: A particle moves along a path, and its speed increases with time. (i) In which of the following...
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3. A particle is moving on xy plane, with
x = 15 sin 2t, and y = 20 cos 2t
 
Find the velocity vector as a function of time, in  i, j, k notation
 
Find the magnitude of the velocity as a function of time
 
In what kind of the orbit is this particle moving?
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