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BIO Bacterial Motion Approximately 0,1% of the bacteria in

Chapter 2, Problem 53P

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QUESTION:

Problem 53P

BIO Bacterial Motion Approximately 0,1% of the bacteria in an adult human's intestines are Escherichia coli. These bacteria have been observed to move with speeds up to 15 µm/s and maximum accelerations of 166 µm/s2. Suppose an E. coli bacterium in your intestines starts at rest and accelerates at 156 µm/s2. How much (a) time and (b) distance are required for the bacterium to reach a speed of 12 µm/s?

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QUESTION:

Problem 53P

BIO Bacterial Motion Approximately 0,1% of the bacteria in an adult human's intestines are Escherichia coli. These bacteria have been observed to move with speeds up to 15 µm/s and maximum accelerations of 166 µm/s2. Suppose an E. coli bacterium in your intestines starts at rest and accelerates at 156 µm/s2. How much (a) time and (b) distance are required for the bacterium to reach a speed of 12 µm/s?

ANSWER:

Step 1 of 3

The bacteria starts with zero speed, so,

.

The final speed it reached is: .

The acceleration is given as: .

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