3.15 At any moment in time the position vector of a particle is r(t) = ti + sin tj. (a) Determine expressions for the path in parametric form. (b) Determine expressions for the path in explicit form. (c) Determine expressions for the velocity at any time t. (d) Determine expressions for the speed at any time. (e) Determine expressions for the acceleration at any time. (f) Draw the path for the time interval [0; 47] and indicate the points of maximum acceleration. y r(t) = ti+ sintjm (a) x=t y = sint (b) y= sin x (c) v(t) =i+cos tj m/s 31 27 4 2 (d) v= V1+cos² t m/s (e) a(t) = – sintj m/s² (f) At = [0; 4x]

3.15 At any moment in time the position vector of a particle is r(t) = ti + sin tj. (a) Determine expressions for the path in parametric form. (b) Determine expressions for the path in explicit form. (c) Determine expressions for the velocity at any time t. (d) Determine expressions for the speed at any time. (e) Determine expressions for the acceleration at any time. (f) Draw the path for the time interval [0; 47] and indicate the points of maximum acceleration. y r(t) = ti+ sintjm (a) x=t y = sint (b) y= sin x (c) v(t) =i+cos tj m/s 31 27 4 2 (d) v= V1+cos² t m/s (e) a(t) = – sintj m/s² (f) At = [0; 4x]

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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