College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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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 have learned in math can also be helpful, and will be illuminating when answering some of the later parts of the question.) CONTINUED ON NEXT PAGE
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Transcribed Image Text: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 have learned in math can also be helpful, and will be illuminating when answering some of the later parts of the question.) CONTINUED ON NEXT PAGE
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.
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Transcribed Image Text: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.
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