For the following position function y = s(t), an object is moving along a straight line, where t is in seconds and s is in meters. s(t) = * + 5 (a) Find the simplified expression for the average velocity from t = 4 to t = 4 + h. (b) Find the average velocity between t = 4 and t = 4 + h, where h = 0.1, h = 0.01, h = 0.001, and h = 0.0001. (Round your answers to three decimal places.) average velocity 0.1 0.01 0.001 0.0001 (c) Use the answers from part (b) to estimate the instantaneous velocity at t = 4.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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For the following position function y = s(t), an object is moving along a straight line, where t is in seconds and s is in meters.
s(t) = t+
%3D
(a) Find the simplified expression for the average velocity from t = 4 to t = 4 + h.
(b) Find the average velocity between t = 4 and t = 4 + h, where h = 0.1, h = 0.01, h = 0.001, and h = 0.0001. (Round your answers to three decimal places.)
average velocity
0.1
0.01
0.001
0.0001
(c) Use the answers from part (b) to estimate the instantaneous velocity at t = 4.
Transcribed Image Text:For the following position function y = s(t), an object is moving along a straight line, where t is in seconds and s is in meters. s(t) = t+ %3D (a) Find the simplified expression for the average velocity from t = 4 to t = 4 + h. (b) Find the average velocity between t = 4 and t = 4 + h, where h = 0.1, h = 0.01, h = 0.001, and h = 0.0001. (Round your answers to three decimal places.) average velocity 0.1 0.01 0.001 0.0001 (c) Use the answers from part (b) to estimate the instantaneous velocity at t = 4.
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