e position of an object that is moving along a straigh 3t ,where s is measured in metres. t+4° plain how you determine the average rate of change etermine the average rate of change over the first 6 se ing of your answer in the context of this question.

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4. The position of an object that is moving along a straight line at t seconds is given by
s(t) =, where s is measured in metres.
3t
t+4'
a) Explain how you determine the average rate of change over the first 6 seconds.
b) Determine the average rate of change over the first 6 seconds and use the units to describe the
meaning of your answer in the context of this question.
c) Using appropriate numbers close to 6, estimate the instantaneous rate of change at 6 seconds.
Show your work.
Transcribed Image Text:4. The position of an object that is moving along a straight line at t seconds is given by s(t) =, where s is measured in metres. 3t t+4' a) Explain how you determine the average rate of change over the first 6 seconds. b) Determine the average rate of change over the first 6 seconds and use the units to describe the meaning of your answer in the context of this question. c) Using appropriate numbers close to 6, estimate the instantaneous rate of change at 6 seconds. Show your work.
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