Problem: 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 25 μm/s. The following figure shows the trajectory of an E. coli as it moves from point A to point E.(Figure 1)Part AWhat is the magnitude of the bacterium's average velocity for the entire trip?Express your answer to two significant figures and include the appropriate units.Part BWhat is the direction of the bacterium's average velocity for the entire trip?Express your answer using two significant figures.

🤓 Based on our data, we think this question is relevant for Professor Velissaris' class at UCF.

FREE Expert Solution

A. Average velocity:

vavg=Net displacementTotal time

Net displacement is from O to E

Net displacement, dOE=x2+y2=402+202

Net displacement = 44.7 μm

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Problem Details

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 25 μm/s. The following figure shows the trajectory of an E. coli as it moves from point A to point E.

(Figure 1)

Part A

What is the magnitude of the bacterium's average velocity for the entire trip?

Express your answer to two significant figures and include the appropriate units.


Part B

What is the direction of the bacterium's average velocity for the entire trip?

Express your answer using two significant figures.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Motion in 2D concept. If you need more Motion in 2D practice, you can also practice Motion in 2D practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Velissaris' class at UCF.