The bacterium E. coli is a single-cell organism that lives

Chapter 3, Problem 40P

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QUESTION:

The bacterium E. coli is a single-cell organism that lives in the gut of healthy animals, including humans. When grown in a uniform medium in the laboratory, these bacteria swim along zigzag paths at a constant speed of \(20 mm/s\). Figure P3.40 shows the trajectory of an E. coli as it moves from point A to point E. What are the magnitude and direction of the bacterium’s average velocity for the entire trip?

Equation Transcription:

Text Transcription:

20 mm/s

Questions & Answers

QUESTION:

The bacterium E. coli is a single-cell organism that lives in the gut of healthy animals, including humans. When grown in a uniform medium in the laboratory, these bacteria swim along zigzag paths at a constant speed of \(20 mm/s\). Figure P3.40 shows the trajectory of an E. coli as it moves from point A to point E. What are the magnitude and direction of the bacterium’s average velocity for the entire trip?

Equation Transcription:

Text Transcription:

20 mm/s

ANSWER:

Step 1 of 4

We have to find the magnitude and direction of the bacterium's average velocity for the entire trip.

The magnitude of the bacterium's velocity for the entire trip can be found from the equation.

                                              \(v_{\text {avg }}=\frac{s}{t}\)

Where,

\(s=\) displacement of the bacterium

in \(m\)

\(t=\) total time taken for the trip in \(\mathrm{s}\)

 

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