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A boulder starting from rest rolls down a hill in a straight line, which we shall call the $x$ axis. A graph of its position $x$ as a function of time t is shown in Figure 2.44 Find $(a)$ the distance the boulder rolled between the end of the first second and the end of the third second and (b) the boulder's average speed during (i) the first second, (ii) the second second, (ii) the third second, (iv) the fourth second, and (v) the first 4 seconds.

a) 6.75 $\mathrm{m}$b) 1.25 $\mathrm{m} / \mathrm{s}$$|2.75 \mathrm{m} / \mathrm{s}|$4 $\mathrm{m} / \mathrm{s}$8 $\mathrm{m} / \mathrm{s}$4 $\mathrm{m} / \mathrm{s}$

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

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

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.

03:44

A boulder starting from re…

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Starting from rest, a boul…

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A boulder is rolling down …

02:36

Figure $(3-\mathrm{E} 4)$ …

02:52

An object starts from rest…

01:42

Use Formulas (2) and (3) t…

02:27

If a stone is dropped from…

[T] The distance in feet t…

04:17

A particle moves with velo…

positions. X I aunt time thing on a given Toby ex, not Macedo. So it starts from the origin. 61 Has he called? The one meter extra is giving Toby for me. Excuse nine meter and export is 16 meter. So the distance between ah x tree and Exxon? Yes. Then equal to extreme minus X one. That is a quintal Faith. Now, for the second part, we know that average velocity ISS displacement over time. So for the first part, we have to find the average velocity. Far x one and x not it's college once. Edo, this will be quick. Excellent. Minus X Not a while. Lt still be one. Minus Tina on this time, Miss Acquittal one second. Because each eye is equally toe one second. So if he is equal to one, it implies one second. Is it going to do it in place? Two seconds. This is he quiet. One meter per second. Similarly, the average no one and extra minus X one forward data. Linus, Day one. This is like two seconds minus one second, which is called the line. This is he called you three meters per second. Now for the last part. You know the same thing. So the exes ex three minus x two. This part is State three minus Tito. And this found the five meter per second Fargo foot bond. We have to find we have bitch between third and fourth. Similarly, from the last part. So this is like the total distance. More seconds. Since when? Who? Only plastic.

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