Question The position of an object moving along a straight I after t seconds is modeled by the function s(t) = -t³-5. Find the average velocity of the object over the following time intervals: [1, 1.1], [1, 1.01], [1, 1.001], and [1, 1.0001]. Use the calculated averages to estimate the instantaneous velocity Vinst of the object at t = 1 seconds. Round each answer in the table to six decimal places, but enter an integer value for Vinst Provide your answer below:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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The position of an object moving along a straight line
after t seconds is modeled by the function
s(t) = -t³-5. Find the average velocity of the
object over the following time intervals: [1, 1.1],
[1, 1.01], [1, 1.001], and [1, 1.0001]. Use the
calculated averages to estimate the instantaneous
velocity Vinst of the object at t = 1 seconds.
Round each answer in the table to six decimal
places, but enter an integer value for Vinst.
Provide your answer below:
t
1.1
1.01
1.001
1.0001
V.
inst
V
ave
Transcribed Image Text:Question The position of an object moving along a straight line after t seconds is modeled by the function s(t) = -t³-5. Find the average velocity of the object over the following time intervals: [1, 1.1], [1, 1.01], [1, 1.001], and [1, 1.0001]. Use the calculated averages to estimate the instantaneous velocity Vinst of the object at t = 1 seconds. Round each answer in the table to six decimal places, but enter an integer value for Vinst. Provide your answer below: t 1.1 1.01 1.001 1.0001 V. inst V ave
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