The coordinates of an object moving in the xy plane vary with time according to the following equations. It is in seconds and w has units of seconds-1 x = -(3.00 m) sin(wt) y = (4.00 m)-(3.00 m) cos(wt) (a) Determine the components of velocity and components of acceleration at t = 0. (Use w as appropriate.) =(-3.00 1+0 1) m/s à = ( V= X ā= 30 X X (b) Write expressions for the position vector, the velocity vector, and the acceleration vector at any time t > 0. (Use w and t as appropriate.) F= X î+ x m m/s ✓ m/s² x Ĵ) m/s² (c) Describe the path of the object on an xy graph. t

The coordinates of an object moving in the xy plane vary with time according to the following equations. It is in seconds and w has units of seconds-1 x = -(3.00 m) sin(wt) y = (4.00 m)-(3.00 m) cos(wt) (a) Determine the components of velocity and components of acceleration at t = 0. (Use w as appropriate.) =(-3.00 1+0 1) m/s à = ( V= X ā= 30 X X (b) Write expressions for the position vector, the velocity vector, and the acceleration vector at any time t > 0. (Use w and t as appropriate.) F= X î+ x m m/s ✓ m/s² x Ĵ) m/s² (c) Describe the path of the object on an xy graph. t

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 55P

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