- #1

Wm_Davies

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## Homework Statement

This is somewhat a repost... except I have figured out some of it and I have cleaned up the question.

Your task is to estimate how far an object traveled during the time interval 0<= t >= 8 , but you only have the following data about the velocity of the object.

[tex]\frac{time (sec)}{velocity (feet/sec)}\frac{0}{4}\frac{1}{1}\frac{2}{-2}\frac{3}{-3}\frac{4}{-4}\frac{5}{-3}\frac{6}{-1}\frac{7}{-3}\frac{8}{-1}[/tex]

"See the attached graph."

(PART 'A') Using the left endpoint Riemann sum, find approximately how far the object traveled. Your answers must include the correct units.

Total displacement = "I have 11ft which is the right answer."

Total distance traveled = "I cannot figure this out"

## Homework Equations

Distance = time * velocity

Displacement = time * velocity

## The Attempt at a Solution

So I went ahead and got the Riemann sum of the left endpoint on the graph below.

[tex]\Delta[/tex]X = 1

So I just added the y values.

The sum added up to -11 which was the answer for the displacement. I do not know why this is

**not**the answer for the total distance but maybe I am missing something elementary.

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