The bacterium Escherichia coli (or E. coli) is a single-celled organism that liv

Question

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 um/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.

a. For each of the four segments in the bacterium's trajectory,calculate the x- and y-components of its velocity.

Explanation / Answer

a) For AB, time taken to move to B, t= (2500+100) /20 = 2.549 sec.

Vx = 50/2.549 =19.61 m/sec.

Vy = 10/2.549 = 3.923 m/sec.

b) Vx = 0

Vy = 20 m/sec. (as velocity along x is zero all component of speed is along y axis)

c) For, CD, t= (1600+100)/20 =2.06 sec.

so, Vx= 40/2.06 = 19.40 m/sec.

Vy= 10/2.06 = 4.84 m/sec.

I hope you have got the way out . Do the last similarly.

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