Vectors and motion in 2D (physics problem)

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SUMMARY

The discussion focuses on analyzing the motion of the bacterium Escherichia coli in a 2D plane, specifically addressing its trajectory from point A to point E. Participants are tasked with calculating the x and y components of velocity for four segments of motion, determining the total distance traveled, and finding the magnitude and direction of the average velocity. The bacterium swims at a constant speed of 20 µm, and the calculations are essential for understanding its movement dynamics in a uniform medium.

PREREQUISITES
  • Understanding of 2D vector components
  • Knowledge of basic physics principles related to motion
  • Familiarity with calculating distance and displacement
  • Ability to interpret graphical representations of motion
NEXT STEPS
  • Learn how to calculate vector components in physics
  • Study the principles of average velocity and displacement
  • Explore the concept of trajectory analysis in 2D motion
  • Investigate the behavior of microorganisms in fluid dynamics
USEFUL FOR

Students in physics courses, particularly those studying motion and vectors, as well as researchers interested in microbial movement in biological systems.

natty210
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vectors and motion in 2D (physics 1111 problem!)

The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of healthy humans and animals. When grown in a uniform medium rich in salts and amino acids, these bacteria swim along zig-zag paths at a constant speed of 20[tex]\mu[/tex]m. The figure shows the trajectory of an E. coli as it moves from point A to point E. Each segment of the motion can be identified by two letters, such as segment BC.

(graph is attached!)***

a) for each of the four segments in the bacterium's trajectory, calculate the x and y components of its velocity

b) calculate both the total distance traveled and the magnitude of the net displacement for the entire motion.

c) what are the magnitude and the direction of the bacterium's average velocity and for the entire trip?
 

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Hi natty210! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

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