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For the following function models the position s(t) of an object moving along a stright line, where t is in seconds and s is in meters. s(t) = t² - 11t Find the simplified expression for the average velocity from t = 6 to t = 6 + h.

For the following function models the position s(t) of an object moving along a stright line, where t is in seconds and s is in meters. s(t) = t² - 11t Find the simplified expression for the average velocity from t = 6 to t = 6 + h.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section: Chapter Questions
Problem 47CT
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Please solve and show work. Please solve for Instantaneous Velocity. Thanks

For the following function models the position s(t) of an object moving along a stright line, where t is in seconds and s is in meters. Find the simplified expression for the average velocity from t = 6 tot = 6 + h. s(t + h) - s(t) h = 2t + h - 11 h = 0.1: 1.1 h 0.01: 1.01 = s(t) = t² - 11t Part 2 of 3 Use the simplified expression to find the average velocity between t = 6 and t = 6 + h for the following values of h. h 0.001: 1.001 = m/s m/s m/s Use the previous answers to estimate the instantaneous velocity at t = 6 seconds. Instantaneous Velocity: m/s Part 3 of 3
Transcribed Image Text:For the following function models the position s(t) of an object moving along a stright line, where t is in seconds and s is in meters. Find the simplified expression for the average velocity from t = 6 tot = 6 + h. s(t + h) - s(t) h = 2t + h - 11 h = 0.1: 1.1 h 0.01: 1.01 = s(t) = t² - 11t Part 2 of 3 Use the simplified expression to find the average velocity between t = 6 and t = 6 + h for the following values of h. h 0.001: 1.001 = m/s m/s m/s Use the previous answers to estimate the instantaneous velocity at t = 6 seconds. Instantaneous Velocity: m/s Part 3 of 3
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