SOLUTION: In a time of t seconds, a particle moves a distance of s meters from its starting point; where s=4*t^2+3.
a) Find the average velocity between t=1 and t=1+h if:
I) h=0.1, II) h=0
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Question 1049104: In a time of t seconds, a particle moves a distance of s meters from its starting point; where s=4*t^2+3.
a) Find the average velocity between t=1 and t=1+h if:
I) h=0.1, II) h=0.01, III) h=0.001.
b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t=1
Your answer should consist of four values, three for (a) and one for (b)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
a) I)
\ =\ 4(1)^2\ +\ 3\ =\ 7)
\ =\ 4(1.1)^2\ +\ 3\ =\ 7.84)
Do the other two the same way.
For part B, you should notice that the result is getting closer to some limit.
John
My calculator said it, I believe it, that settles it
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