Calculate Distance of E. coli Bacteria w/ Acceleration of 151

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In summary, 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 and maximum accelerations of 166. Using the equations d=vt, t=v/a, and v^2=v0^2+2ax, it is determined that a bacterium starting at rest in the intestines and accelerating at 151 will require a distance of 0.48 units to reach a speed of 12.
  • #1
farhan769
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Homework Statement


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 and maximum accelerations of 166 . Suppose an E. coli bacterium in your intestines starts at rest and accelerates at 151 .
How much distance is required for the bacterium to reach a speed of 12 ?

Homework Equations


d=vt
t=v/a
v^2=v0^2+2ax


The Attempt at a Solution


i used v^2=v0^2+2ax
so v0 is 0 (i thiink)
12^2=2(151)x
x=.48
is this correct??
 
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  • #2
Welcome to PF.

Depending on if your units match, it looks OK.
 
  • #3
thanks it was correct...could you help me with one more problem?
 

FAQ: Calculate Distance of E. coli Bacteria w/ Acceleration of 151

How do you calculate the distance of E. coli bacteria with an acceleration of 151?

The distance of E. coli bacteria can be calculated by using the formula d = 1/2at2, where d is the distance, a is the acceleration, and t is the time. In this case, the acceleration would be 151 and the time can be determined by the speed of the bacteria.

What is the acceleration of E. coli bacteria?

The acceleration of E. coli bacteria can vary depending on the environment and conditions they are in. However, on average, E. coli bacteria can reach an acceleration of 151 meters per second squared.

How long does it take for E. coli bacteria to reach a distance of 151 meters?

The time it takes for E. coli bacteria to reach a distance of 151 meters can be calculated by using the formula t = √(2d/a), where t is the time, d is the distance, and a is the acceleration. Plugging in the values, we can determine the time it takes for E. coli bacteria to reach a distance of 151 meters.

Is 151 meters a realistic distance for E. coli bacteria?

It is possible for E. coli bacteria to reach a distance of 151 meters, but it would require a specific set of conditions and a longer period of time. In most cases, E. coli bacteria would not travel this far due to their size and the environment they are in.

How can we measure the acceleration of E. coli bacteria?

The acceleration of E. coli bacteria can be measured using specialized equipment such as a centrifuge or a spectrophotometer. These devices can track and measure the movement and speed of the bacteria, allowing us to calculate their acceleration.

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