Position-Time Graphs & Velocity Video Lessons

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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 aids, these bacteria swim along zig-zag paths at a constant speed of 20 μm/s. 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.Part A. For the segment AB in the bacterium’s trajectory, calculate the y component of its velocity.Part B. For the segment BC in the bacterium’s trajectory, calculate the x component of its velocity

FREE Expert Solution

The graph shown is a position graph. It does not include the time. The velocity vector is in the same direction as the displacement vector shown in the figure. 

2D vector Direction:

tanθ=AyAx

2D vector component:

vx=|v| cos θvy=|v| sin θ

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Problem Details

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 aids, these bacteria swim along zig-zag paths at a constant speed of 20 μm/s. 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.


Part A. For the segment AB in the bacterium’s trajectory, calculate the y component of its velocity.


Part B. For the segment BC in the bacterium’s trajectory, calculate the x component of its velocity

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