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$\bullet$ You decide to take high-speed strobe light photos of your little dog Holly as she runs along. Figure 2.54 shows some of these photos. The strobe flashes at a uniform rate, which means that the time interval between adjacent images is the same in all the photos. For each case, sketch clear qualitative (no numbers) graphs of Holly's position as a function of time and her velocity as a function of time.

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Physics 101 Mechanics

Chapter 2

Motion along a Straight Line

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

Hope College

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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Each of the strobe photogr…

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b.) My dog Anna likes a ru…

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"3. | | The Position …

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The figures show strobe ph…

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Each graph in Figure 2.45 …

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A red light flashes at pos…

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The strobe photographs bel…

The position graph of Figu…

So for case A, we have Delta X is constant and V X is constant and positive. So tha graph this We have, uh, this honor. Why access? We have X and meters and there x o r an y axis. We have x in meters are X axis. We have time and seconds and so this would be a straight line and the second graf would be again time and seconds on the Y axis. We have velocity in the extraction in meters per second and again, this would be constant and positive. So this would be like this for part B. Delta X increases. And we have that the velocity next direction is positive and increasing. And so we can ah draw these two graphs again. We have time on the X axis on the Y axis. We have exposition, and this is going to have a parabolic shape. So essentially something like this. And then for the velocity in the extraction versus time graph, this would be a straight line increasing for see, we have Delta X decreases and velocity, and the extraction is positive. However, it is decreasing. So the two grafts would look something like this. We have tea and seconds. And then here we have velocity and the brother We'll start with X position in meters. Here it's like this. So sort of a parabolic, but decreasing. So it would be a reverse crapola in a sense. And then the other graph again t time and seconds on the X axis. And we have velocity in extraction on the why and this would be again positive but decreasing. So it be like this. And lastly we have party Delta X increases then decreases. So essentially we are and velocity rather increases, then decreases so t and seconds on the X axis and then acts in position and meters. And this graph with someone looked like this. And then the velocity in the X direction versus time graph would look like a proble but river. But upside down's so like that Essentially. And if you can see that throughout this entire four cases, the slope of thie position versus time graph is always equal to the value of wth evil Osei Dy. So this is a linear slope. That is why we have a constant velocity for case too. We have a slope that's increasing exponentially. However, this is increasing linear lily linearly. So we can say that the velocity is the derivative or the slope of thie position versus time graph here the same thing. This decreases. Therefore, this is decreasing linearly and here we have Ah, eh, a slope that increases, then decreases. Therefore, it's creating parabolic shape on the velocity versus time graph. So we can say that the velocity versus Tom Graf is always the slope of the position versus time graph. That is the end of the solution. Thank you for watching.

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