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While driving on the freeway at $110 \mathrm{km} / \mathrm{h},$ you pass a truck whose total length you estimate at 25 $\mathrm{m}$ . (a) If it takes you, in the driver's seat, 5.5 $\mathrm{s}$ to pass from the rear of the truck to its front, what is the truck's speed relative to the road? (b) How far does the truck travel while you're passing it?

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a) 26 $\mathrm{m} / \mathrm{s}$b) 140 $\mathrm{m} / \mathrm{s}$

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

Cornell University

University of Michigan - Ann Arbor

University of Washington

University of Winnipeg

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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01:27

While you are traveling in…

03:05

You're speeding at $8…

we can use a relative velocity addition to solve this problem. So the velocity off the truck with respect to roll is equal to velocity off the truck directive to me less the velocity. Oh, I mean, are my velocity the respectable? That so the assume that all these numbers are good up to to go significant figures. Now, for the first part as seen by me, the truck moves backwards. 25 meters and 5.5 seconds. This means that drugs velocity Gillette If to me it is of the slash m this equal dough negative. 25 Nita, all my fight wine. Five seconds. The negative sign is because off the backward direction. So we assume that the positive ex direction is toe right. So if the truck moves backward, it moves in the negative direction. So the change is negative. So this is acquittal. Negative four point by five. Meet up a second. This means that velocity is in the negative. X direction now, my velocity to respect George, the sequel 100 kilometers are but we need to convert it into meat of a second on to become system with the unit. So you know that one kilometer. Is it going toe 1,000 meters? No one odd has had the 6,000 seconds, innit? So get the velocity now to be 30.6 meters per second. This means that velocity off the truck heuristic to ash, which is majestic to Lord Disick Cueto feeding it that is 4.5 negative, 4.55 meters per second less 30 point six meters per second. And this is a Quintal 26 meet a Mexican. So basically, I used the situation over here. Now, ideally, these are vector addition. But since you are dealing with a one dimensional problem, so as long as you are taking care ofthe the direction for the sign less are minors. Ah, it's fine toe. Ignore the victor. Sign in. Just add or subtract the magnitudes off the victors. Um, taking it off the signs now for the second fight. The distance off the Sorry. The distance off the truck. Ah, no. But with respect. Oh, the road is 26 meter per second. It is velocity off the truck with respect to Lord Heinz that time because there is no acceleration. So the fact No. So if you had acceleration. There will be a factor off this, but there is no acceleration. So the strong girls are they now the thing you got is the value that we found over here on. You're starting this a question Time is given to the 5.5 seconds. So the distance that truck moves relative to road is equal to one for 16. Leader, it is equal 1.4 times. And if I told me approximately now you can they not this like this Because you're given tto. Find the distance off the truck with related to row. Somewhere with this notation will help in deciding the question you need to use.

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