Find the average velocity of an object whose position is given by:
$$s(t)=\frac{13}{t+2}$$
Using the following intervals:
i.[11,12]
ii. [11, 11.1]
iii. [11, 11.001]
iv. [11, 1.00001]
Then guess the value of the instantaneous velocity at t=11
I've look at a couple of examples and I'm still not completely understanding how to solve it. Do I find the average between all of the intervals answers?
Please Help!!!
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$\begingroup$Yes, you're supposed to find the average velocity over each interval. In this case, we have $$ s(t)=\frac{13}{t+2} $$ (if you mean something else, please say so). To find the average velocity over an interval $[t_1,t_2]$, the formula is $$ v=\frac{s(t_2)-s(t_1)}{t_2-t_1} $$ So, for i) we get $$ v = \frac{\frac{13}{12+2}-\frac{13}{11+2}}{12-11}\approx-0.0714 $$ Can you figure out the rest?
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