One of the longest stretches of straight (and flat) road in North America can be found on the Great| Plains in the state of North Dakota on state highway 46, which lies just south of the interstate highway I- 94 and runs through the town of Gackle. A car moves town (at time k = 0`t = 0 _ and heads east on highway 46; its position in miles from Gackle at time t in minutes is given by the graph of the function in Figure 1.5.1. Three important points are labeled on the graph; where the curve looks linear, assume that it is indeed a straight line. a. In everyday language, describe the behavior of the car over the provided time interval. In particular, discuss what is happening on the time interval [57,68|[57,68 and [68,104] [68,104). b. Find the slope of the line between the points (57,63.8 (57,63.8) and (104,106.8) (104,106.8). what are the units on this slope? What does the slope mean? c. Find the average rate of change of the car's position on the interval [68,104] [68,104] Include units on your answer.

One of the longest stretches of straight (and flat) road in North America can be found on the Great| Plains in the state of North Dakota on state highway 46, which lies just south of the interstate highway I- 94 and runs through the town of Gackle. A car moves town (at time k = 0`t = 0 _ and heads east on highway 46; its position in miles from Gackle at time t in minutes is given by the graph of the function in Figure 1.5.1. Three important points are labeled on the graph; where the curve looks linear, assume that it is indeed a straight line. a. In everyday language, describe the behavior of the car over the provided time interval. In particular, discuss what is happening on the time interval [57,68|[57,68 and [68,104] [68,104). b. Find the slope of the line between the points (57,63.8 (57,63.8) and (104,106.8) (104,106.8). what are the units on this slope? What does the slope mean? c. Find the average rate of change of the car's position on the interval [68,104] [68,104] Include units on your answer.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...

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