Question

An object travels through a medium so that its position s after t seconds is s(t) =10 - (5/radical(t)).
To the nearest thousandth, evaluate the average velocity of the object on the intervals [ 4, 5 ],[ 4, 4.5 ], [ 4, 4.1 ], [ 4, 4.05 ]. How do I do atleast one interval?

Answer 1

find the slope

Answer 2

for example, the first one is
\[\frac{s(5)-s(4)}{5-4}\] all the others are the same, you need a calculator

Answer 3

\[\frac{s(4.5)-s(4)}{4.5-4}\]
\[\frac{s(4.1)-s(4)}{4.1-4}\]
\[\frac{s(4.05)-s(4)}{4.05-4}\]
a spread sheet would make this very easy

Answer 4

but it is a numerical exercise. first one for example is
\[\frac{1-\frac{5}{\sqrt{5}}}{1}=1-\sqrt{5}=-1.236\]

Answer 5

That's what I did and I got the first one wrong.. I must have hit something wrong... I'll try again. Thanks!