The position of an object moving along a straight line after t seconds is modeled by the function s(t) = -4t³ - 1. Find the average velocity of the object over the following time intervals: [2, 2.1], [2, 2.01], [2, 2.001], and [2, 2.0001]. Use the calculated averages to estimate the instantaneous velocity Vinst of the object at t = 2 seconds. Round each answer in the table to six decimal places, but enter an integer value for Vinst. Provide your answer below: t 2.1 2.01 2.001 2.0001 V. inst 22 V ave
The position of an object moving along a straight line after t seconds is modeled by the function s(t) = -4t³ - 1. Find the average velocity of the object over the following time intervals: [2, 2.1], [2, 2.01], [2, 2.001], and [2, 2.0001]. Use the calculated averages to estimate the instantaneous velocity Vinst of the object at t = 2 seconds. Round each answer in the table to six decimal places, but enter an integer value for Vinst. Provide your answer below: t 2.1 2.01 2.001 2.0001 V. inst 22 V ave
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Question
The position of an object moving along a straight line
after t seconds is modeled by the function
s(t) = -4t³ - 1. Find the average velocity of the
object over the following time intervals: [2, 2.1],
[2, 2.01], [2, 2.001], and [2, 2.0001]. Use the
calculated averages to estimate the instantaneous
velocity Vinst of the object at t = 2 seconds.
Round each answer in the table to six decimal
places, but enter an integer value for Vinst.
Provide your answer below:
t
2.1
2.01
2.001
2.0001
V.
inst
V
ave](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39d99037-ab62-46d9-8eef-e84624aeb8d9%2F2f591100-0882-40cc-b1aa-f8707c0c3f84%2Ftxxivq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question
The position of an object moving along a straight line
after t seconds is modeled by the function
s(t) = -4t³ - 1. Find the average velocity of the
object over the following time intervals: [2, 2.1],
[2, 2.01], [2, 2.001], and [2, 2.0001]. Use the
calculated averages to estimate the instantaneous
velocity Vinst of the object at t = 2 seconds.
Round each answer in the table to six decimal
places, but enter an integer value for Vinst.
Provide your answer below:
t
2.1
2.01
2.001
2.0001
V.
inst
V
ave
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