Please show work 2. The position of a particle between t = 0 and t = 2.00s is given by a(t) = (3.00 m/s³)³-(10.0 m/s²)t² + (9.00 m/s)t.a) Find expressions for(i) the particle's velocity as a function of time (v (t)), and(ii) the particle's acceleration as a function of time (a (t)).b) Sketch(i) an a vs. t graph for this particle,(ii) a v vs. t graph for this particle,(iii) an a, vs. t graph for this particle.(For this part, you may use a graphing calculator or computer; curve-sketching techniques you may havelearned in math can also be helpful, and will be illuminating when answering some of the later parts of thequestion.)CONTINUED ON NEXT PAGE c) At what time(s), if any, is the particle instantaneously at rest? Comment on how your result relates toyour graphs in part (b).d) At what time(s), if any, is the particle's velocity instantaneously not changing? Comment on how yourresult relates to your graphs in part (b).e) Find the greatest position value (farthest point from the origin) reached by the particle during this timeperiod. Comment on how your result relates to your graphs in part (b).f) At what time is the particle speeding up at the greatest rate? Explain.g) At what time is the particle slowing down at the greatest rate? Explain.

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Description: Please show work 2. The position of a particle between t = 0 and t = 2.00s is given by a(t) = (3.00 m/s³)³-(10.0 m/s²)t² + (9.00 m/s)t.a) Find expressions for(i) the particle's velocity as a function of time (v (t)), and(ii) the particle's accelerati

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c) At what time(s), if any, is the particle instantaneously at rest? Comment on how your result relates to your graphs in part (b). d) At what time(s), if any, is the particle's velocity instantaneously not changing? Comment on how your result relates to your graphs in part (b). e) Find the greatest position value (farthest point from the origin) reached by the particle during this time period. Comment on how your result relates to your graphs in part (b). f) At what time is the particle speeding up at the greatest rate? Explain. g) At what time is the particle slowing down at the greatest rate? Explain.

c) At what time(s), if any, is the particle instantaneously at rest? Comment on how your result relates to your graphs in part (b). d) At what time(s), if any, is the particle's velocity instantaneously not changing? Comment on how your result relates to your graphs in part (b). e) Find the greatest position value (farthest point from the origin) reached by the particle during this time period. Comment on how your result relates to your graphs in part (b). f) At what time is the particle speeding up at the greatest rate? Explain. g) At what time is the particle slowing down at the greatest rate? Explain.

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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