Approximately 0.1% of the bacteria in anadult human’s intestines are Escherichia coli. These bacteria havebeen observed to move with speeds up to 15 mm>s and maximumaccelerations of 166 mm>s2. Suppose an E. coli bacterium in yourintestines starts at rest and accelerates at 156 mm>s2. How much(a) time and (b) distance are required for the bacterium to reach aspeed of 12 mm>s?

Approximately 0.1% of the bacteria in anadult human’s intestines are Escherichia coli. These bacteria havebeen observed to move with speeds up to 15 mm>s and maximumaccelerations of 166 mm>s2. Suppose an E. coli bacterium in yourintestines starts at rest and accelerates at 156 mm>s2. How much(a) time and (b) distance are required for the bacterium to reach aspeed of 12 mm>s?

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Description: Approximately 0.1% of the bacteria in anadult human’s intestines are Escherichia coli. These bacteria havebeen observed to move with speeds up to 15 mm>s and maximumaccelerations of 166 mm>s2. Suppose an E. coli bacterium in yourintestines starts at

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 20P

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A racing car starts from rest at t = 0 and reaches a final speed at time t. II the acceleration of the car is constant during this time, which of the following statements are true? (a) The car travels a distance t. (b) The average speed of the car is /2. (c) The magnitude of the acceleration of the car is /t. (d) The velocity of the car remains constant, (e) None of statements (a) through (d) is true.
On a one lane road, a person driving a car at v1 = 58 mi/h suddenly notices a truck 1.1 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. 1. Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2. a = ( v2 - v1 )/Δt Δt = ( 2 ) ( d )/( v1 - v2 ) 2. Calculate the value of a in meters per second squared.
A jet plane comes in for a landing with a speed of 100 m/s, and its acceleration can have a maximum magnitude of 5.00 m/s^2 as it comes to rest, from the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest?
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Most important in an investigation of an airplane crash by the U.S. National Transportation Safety Board is the data stored on the airplane’s flight-data recorder, commonly called the “black box” in spite of its orange coloring and reflective tape.The recorder is engineered to withstand a crash with an average deceleration of magnitude 3450 g during a time interval of 6.49 ms. In such a crash, if the recorder and airplane have zero speed at the end of that time interval, what is their speed at the beginning of the interval?
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A jet plane comes in for a landing with a speed of 100m/s, and its acceleration can have a maximum magnitude of 5.00m/s2 as it comes to rest from the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest?
On a one lane road, a person driving a car at v1 = 54 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car tov2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the ﬁgure. Part (a) Enter an expression, in terms of deﬁned quantities, for the distance, Δx2, traveled by the truck during the time interval Δt. Part (b) Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a. Part (c) Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt.
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