3.40 - 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 21 µm/s. The following figure shows the trajectory of an E. coli as it moves from point to point. y (μm) 40 20 0 <<-20 -40 A 20 C 40 E B 60 80 D x (um) 100 a) What is the magnitude of the bacterium's average velocity for the entire trip? b) What is the direction of the bacterium's average velocity for the entire trip?

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3.40 - 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 21 µm/s. The following figure shows the trajectory of an E. coli as it moves from point to
point.
y (μm)
40
20
Tree
0-
-20
-40
A
20
40
Е'
с
B
60
80
D
100
x (μm)
Answers:
a) What is the magnitude of the
bacterium's average velocity for the
entire trip?
b) What is the direction of the bacterium's
average velocity for the
entire trip?
x-axis]
from positive
[27° clockwise
0a) [ (2.61î - 4.50ĵ) cm] b) [ 0 cm ] 3.38 a) [28.8° W of N] b) [377 paces] 3.40 a) [5.4 μm/s]
[71.6°] 3.26 [(5.91 + 6.70 ĵ) m] 3.14 a) [9î - 9ĵ] b) [12.7] c) [45° below positive x-axis]
[C & D, C & A, A& D] b) [E & F] c) [A & F] 2 a) No b) Yes c) Yes d) No e) Yes f) No
Transcribed Image Text:3.40 - 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 21 µm/s. The following figure shows the trajectory of an E. coli as it moves from point to point. y (μm) 40 20 Tree 0- -20 -40 A 20 40 Е' с B 60 80 D 100 x (μm) Answers: a) What is the magnitude of the bacterium's average velocity for the entire trip? b) What is the direction of the bacterium's average velocity for the entire trip? x-axis] from positive [27° clockwise 0a) [ (2.61î - 4.50ĵ) cm] b) [ 0 cm ] 3.38 a) [28.8° W of N] b) [377 paces] 3.40 a) [5.4 μm/s] [71.6°] 3.26 [(5.91 + 6.70 ĵ) m] 3.14 a) [9î - 9ĵ] b) [12.7] c) [45° below positive x-axis] [C & D, C & A, A& D] b) [E & F] c) [A & F] 2 a) No b) Yes c) Yes d) No e) Yes f) No
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