Question
Asked Sep 21, 2019
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The position of an object moving along a line is given by the function s(t)=-16t64t. Find the average velocity of the object over the
following intervals.
(a) 1, 9
(c) [1, 7
(b) 1, 8
(d) [1, 1 h] where h>0 is any real number
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The position of an object moving along a line is given by the function s(t)=-16t64t. Find the average velocity of the object over the following intervals. (a) 1, 9 (c) [1, 7 (b) 1, 8 (d) [1, 1 h] where h>0 is any real number

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Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

We have to use average velocity formula: (s(t2)-s(t1))/(t2-t1)

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Average velocity s(t 2)-s(t t 2-t

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Step 2

(a) t1=1 and t2=9

Then we plug them in the formula.

Answer(a): -96

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s(t 2)-s(t t 2-t s(9)-s(1) 9-1 [-16(92)+64(9)]-[-16(12+64(1)] 8 -720-48 =-96

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Step 3

(b) Here t1=1 and t2=8

Then we plug them in ...

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s(t2)-s(t t2-t s(8)-s(1) 8-1 [-16(82)+64(8)]-[-16(12)+64(1)] 7 -560 =-80

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