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with time. The aim of this exercise is to determine the speed of the rock at t = 2 seconds-a determination that is more difficult than it appears at first sight. We calculate the speed over a time interval using the average rate of change for the function D:

with time. The aim of this exercise is to determine the speed of the rock at t = 2 seconds-a determination that is more difficult than it appears at first sight. We calculate the speed over a time interval using the average rate of change for the function D:

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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62. A falling rock. A D(t) = 16t² feet in t seconds. Figure 1.20 shows how the distance fallen varies with time. The aim of this exercise is to determine the speed of the rock at t = 2 seconds- a determination that is more difficult than it appears at first sight. We calculate the speed over a time interval using the average rate of change for the function D: Distance fallen (feet) D 140 120 100 80 60 40 20- 0 0 Speed= Distance traveled Elapsed time Seconds into the fall Figure 1.20 Distance fallen by a rock 3 t Calculus, 1e, 2022 Macmillan Learning We ask: How is it possible to find the speed when the elapsed time is 0? a. Calculate the speed over the following time intervals, and report your answers correct to four decimal p 1.3 Graphs and Rates of Change 1.1 The Basics of Functions 1.3 Graphs and Rates of Change >
Transcribed Image Text:62. A falling rock. A D(t) = 16t² feet in t seconds. Figure 1.20 shows how the distance fallen varies with time. The aim of this exercise is to determine the speed of the rock at t = 2 seconds- a determination that is more difficult than it appears at first sight. We calculate the speed over a time interval using the average rate of change for the function D: Distance fallen (feet) D 140 120 100 80 60 40 20- 0 0 Speed= Distance traveled Elapsed time Seconds into the fall Figure 1.20 Distance fallen by a rock 3 t Calculus, 1e, 2022 Macmillan Learning We ask: How is it possible to find the speed when the elapsed time is 0? a. Calculate the speed over the following time intervals, and report your answers correct to four decimal p 1.3 Graphs and Rates of Change 1.1 The Basics of Functions 1.3 Graphs and Rates of Change >
of Contents Distance fallen (feet) ITU 120 100 80- 60 40 20- 0- E-book 0 NOTEBOOK Figure 1.20 Distance fallen by a rock Seconds into the fall i. From t = 2 tot = 3 ii. From t = 2 tot = 2.5 We ask: How is it possible to find the speed when the elapsed time is 0? a. Calculate the speed over the following time intervals, and report your answers correct to four decimal places. iii. From t = 2 to t = 2.1 iv. From t=2 to t = 2.01 74 v. From t=2 to t = 2.001 1.1 The Basics of Functions 3 Crauder et al., Preparation for Calculus, 1e, 2022 Macm vi. From t=2 to t= 2.0001 b. Without calculating further, and based on your calculations in part a, what do you think the speed at t = 2 is? 1.3 Graphs and Rates of Change 1.3 Graphs and Rates of Change > Aa
Transcribed Image Text:of Contents Distance fallen (feet) ITU 120 100 80- 60 40 20- 0- E-book 0 NOTEBOOK Figure 1.20 Distance fallen by a rock Seconds into the fall i. From t = 2 tot = 3 ii. From t = 2 tot = 2.5 We ask: How is it possible to find the speed when the elapsed time is 0? a. Calculate the speed over the following time intervals, and report your answers correct to four decimal places. iii. From t = 2 to t = 2.1 iv. From t=2 to t = 2.01 74 v. From t=2 to t = 2.001 1.1 The Basics of Functions 3 Crauder et al., Preparation for Calculus, 1e, 2022 Macm vi. From t=2 to t= 2.0001 b. Without calculating further, and based on your calculations in part a, what do you think the speed at t = 2 is? 1.3 Graphs and Rates of Change 1.3 Graphs and Rates of Change > Aa
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