The motions of two objects are shown in the partial motion diagram below. One second passes between dot. 6 8 10 12 14 Position (m) Which of the equations below correctly represents the position of the orange object as a function of time? O r (t) = (9m) t – 1.5m/s O r (t) = (-1.5m/s) t + 9m x (t) = (1.5m/s) t – 9m x (t) = (1.5m/s) t + 9m x (t) = (9m) t + 1.5m/s 2.

As shown in Figure 2.9, Whipple chose a coordinate system that was different from Cralls. There are many possible coordinate systems that can be used to analyze the motion of the cart. For example, a third student (Yoon) chose to place the origin of her coordinate system at position A (the) carts initial position) and use a southward-pointing y axis as her positive axis. a. Use the distance information given in Table 2.2 to make a new table that gives the carts position at each of the 16 times according to Yoons coordinate system. Hint: A sketch similar to Figure 2.9 is a good place to start. b. Use the data in your table to make a new position-versus-time graph. Hint: CHECK and THINK about your graph by comparing it with Figure 2.6.

The kinematic equations can describe phenomena other than motion through space and time. Suppose x represents a persons bank account balance. The units of x would be dollars (), and velocity v would give the rate at which the balance changes (in units of, for example, /month). Acceleration would give the rate at which v changes. Suppose a person begins with ten thousand dollars in the bank. Initial money management, leads to no net change in the account balance so that v0 = 0. Unfortunately, management worsens over time so that a = 2.5 102 /month2. Assuming a is constant, find the amount of time in months until the bank account is empty

In Figure 2.11b, the area under the velocitytime graph and between the vertical axis and time t (vertical dashed line) represents the displacement. As shown, this area consists of a rectangle and a triangle. (a) Compute their areas. (b) Explain how the sum of the two areas compares with the expression on the right-hand side of Equation 2.16.

A convenient time unit for short time intervals is the millisecond. Express 0.0452 s in milliseconds.

. (a) Draw an accurate graph of the speed versus time for the train Problem 24. (b) Draw an accurate graph of the distance versus time for the train in Problem 24.

Which one of the following describes an object in motion? (2.1) (a) A period of time has passed. (b) Its position is known. (c) It is continuously changing position. (d) It has reached its final position.

In our everyday experience, we sometimes use the phrase as the crow flies. Does this expression refer to total distance traveled, or does it refer to magnitude of the displacement?

In each of the five motion diagrams shown in Figure 2.4, a particle moves in space from position A to position E. For each diagram, describe the motion of the particle as maintaining speed, speeding up, slowing down, or remaining at rest.

The layout of the town of Popperville is a perfectly square grid, with blocks 100 feet long (Fig. P3.8). A cat leaves her house and travels to Mike Mulligans place 4 blocks west and 3 blocks north of its starting point. After lapping up the milk that Mike always leaves out, the cat travels an additional 1 block north and 3 blocks east to Mrs. McGillicuttys house. a. On your paper, carefully copy the grid of streets that contains the cats house, Mike Mulligans house, and Mrs. McGillicuttys house. Then draw and label three displacement vectors on your sketch: r1, the cats displacement from her house to Mike Mulligans; r2, the cats displacement from Mike Mulligans to Mrs. McGillicuttys; and rtot, the cats total displacement. b. Write an equation to relate the three displacement vectors you have drawn. c. Is the distance the cat traveled greater than, less than, or equal to the magnitude of the cats total displacement vector? Explain. FIGURE P3.8