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A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (R t (s) v (m/s) 0 0.5 99 4 1.0 1.5 2.0 2.5 0 4.62 7.33 8.81 8 9.74 10.29 t (s) v (m/s) 10.52 3.0 3.5 4.0 4.5 5 5.0 10.68 10.73 10.86 10.86

A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (R t (s) v (m/s) 0 0.5 99 4 1.0 1.5 2.0 2.5 0 4.62 7.33 8.81 8 9.74 10.29 t (s) v (m/s) 10.52 3.0 3.5 4.0 4.5 5 5.0 10.68 10.73 10.86 10.86

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Tutorial Exercise A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (Round your answer to two decimal places.) | \( t \) (s) | \( v \) (m/s) | |-----------------|---------------| | 0 | 0 | | 0.5 | 4.62 | | 1.0 | 7.33 | | 1.5 | 8.81 | | 2.0 | 9.74 | | 2.5 | 10.29 | | \( t \) (s) | \( v \) (m/s) | | 3.0 | 10.52 | | 3.5 | 10.68 | | 4.0 | 10.73 | | 4.5 | 10.86 | | 5.0 | 10.86 | ### Step 1 The distance covered by the runner can be found by the integral of the velocity function evaluated over the time interval, distance \( = \int_{0}^{5} v(t) \, dt \). Using the table provided, we will approximate this using Simpson's Rule with \( \Delta t = \frac{1}{2} \) s and \( n = \_\_\_\_\_\_ \) subintervals.
Transcribed Image Text:### Tutorial Exercise A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (Round your answer to two decimal places.) | \( t \) (s) | \( v \) (m/s) | |-----------------|---------------| | 0 | 0 | | 0.5 | 4.62 | | 1.0 | 7.33 | | 1.5 | 8.81 | | 2.0 | 9.74 | | 2.5 | 10.29 | | \( t \) (s) | \( v \) (m/s) | | 3.0 | 10.52 | | 3.5 | 10.68 | | 4.0 | 10.73 | | 4.5 | 10.86 | | 5.0 | 10.86 | ### Step 1 The distance covered by the runner can be found by the integral of the velocity function evaluated over the time interval, distance \( = \int_{0}^{5} v(t) \, dt \). Using the table provided, we will approximate this using Simpson's Rule with \( \Delta t = \frac{1}{2} \) s and \( n = \_\_\_\_\_\_ \) subintervals.
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