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# Derivatives and Rate of Change : Motion Problem

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1.A body has an a equation of motion measured in metres after t seconds such that
s=4t3-14t2+40t+8.
3

a) When and where is the body momentarily at rest?
b) For what time interval is it moving forward?
c) During what times is its acceleration negative?
d) Draw three separate graphs for acceleration, velocity, and displacement. Explain the relationship between the important information on the graphs.

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##### Solution Summary

Derivatives are used to analyze motion. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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