Suppose that the platoon leaders have just reached in- tersection 2, where the green appeared when they were distance d from the intersection. Sample Problem Velocity and slope of x versus t, elevator cab Figure 2-6a is an x(t) plot for an elevator cab that is initially stationary, then moves upward (which we take to be the pos- itive direction of x), and then stops. The constant acceleration equa- tions describe this motion, but we make two changes in notation: (1) we refer the motion to the vertical y axis with +y vertically up; (2) we replace a with — g, where g is the magnitude of the free-fall acceleration. What follows is the first of many checkpoints you will see in this book. The line may be vertical, horizontal, or slanted, but it must be straight. 2. Forces (pushes and pulls) cause motion but will not be discussed until Chapter 5. In this chapter we discuss only the motion itself and changes in the motion. The instructor can decide whether the question is part of the grading for that section or whether it is just for the benefit of the student. • Checkpoints are available within most sections. I wrote these so that they require analysis and decisions about the physics in the I! section.

What was the total area in (a) the old unit of roods and (b) the more modern unit of square meters? AilevAs PLUS Additional examples, video, and practice available at WileyPLUS 44 CHAPTER 3 VECTORS The unit vectors point along axes. Z Fig. 3-13 Unit vectors i, j, and k define the directions of a right-handed coordinate system. Instead, we must use a vector. A vector has magnitude as well as direction, and vectors follow certain (vector) rules of combination, which we examine in this chapter. A vector quantity is a quantity that has both a magnitude and a direction and thus can be represented with a vector. The publisher John Wiley & Sons and I regard the book as an ongoing project and encourage more input from users. Instead, because we want only the nearest order of magnitude, we can estimate any quantities re- quired in the calculation. The fun was missing. I have packed a lot of real-world physics into this FIRW book, connecting it with the new edition of The Flying Circus of Physics.

Figure 2-35 gives the measured acceleration a(t) of a soccer player’s head for a bare head and a helmeted head, starting from rest. They continue to travel at a certain speed v p (the speed limit) to reach intersection 3, where the green appears when they are distance d from it. Additional Problems 71 In an arcade video game, a spot is programmed to move across the screen according to x = 9.00f — 0.750r 3 , where x is dis- tance in centimeters measured from the left edge of the screen and t is time in seconds. Fresh snow has about 10% of that density; platinum has a density that is about 21 times that of water. Standards, which must be both accessible and invariable, have been estab- lished for these base quantities by international agreement. What is your average speed from the beginning of your drive to your return to the truck with the gasoline? KEY IDEA Your average speed is the ratio of the total distance you move to the total time interval you take to make that move.

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