Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossingthe finish line. The coasting cyclist has a velocity-dependent acceleration (in the x-direction) givenby ag = -(0.01lm-1)v², which is negative because they are slowing. Ignoring time, find how far thecyclist will have traveled beyond the finish line when they are rolling at a speed of 10m/s.

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Description: Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossingthe finish line. The coasting cyclist has a velocity-dependent acceleration (in the x-direction) givenby ag = -(0.01lm-1)v², which is negative because t

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Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossing the finish line. The coasting cyclist has a velocity-dependent acceleration (in the x-direction) given by ag = -(0.01m-1)v², which is negative because they are slowing. Ignoring time, find how far the cyclist will have traveled beyond the finish line when they are rolling at a speed of 10m/s.

Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossing the finish line. The coasting cyclist has a velocity-dependent acceleration (in the x-direction) given by ag = -(0.01m-1)v², which is negative because they are slowing. Ignoring time, find how far the cyclist will have traveled beyond the finish line when they are rolling at a speed of 10m/s.

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 10P

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossing
the finish line. The coasting cyclist has a velocity-dependent acceleration (in the x-direction) given
by ag = -(0.01lm-1)v², which is negative because they are slowing. Ignoring time, find how far the
cyclist will have traveled beyond the finish line when they are rolling at a speed of 10m/s.

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