A ball is dropped from a state of rest at time t = 0. The distance traveled after t seconds is s(t) = 16t² ft. (a) How far does the ball travel during the time interval [2, 2.5] ? As = ft (b) Compute the average velocity over [2, 2.5] . ft sec (c) Compute the average velocity over time intervals [2, 2.01] , [2, 2.001] , [2, 2.0001] , [1.9999, 2] , [1.999, 2] , [1.99, 2] . Use this to estimate the object's instantaneous velocity at t = 2. V(2) = sec
A ball is dropped from a state of rest at time t = 0. The distance traveled after t seconds is s(t) = 16t² ft. (a) How far does the ball travel during the time interval [2, 2.5] ? As = ft (b) Compute the average velocity over [2, 2.5] . ft sec (c) Compute the average velocity over time intervals [2, 2.01] , [2, 2.001] , [2, 2.0001] , [1.9999, 2] , [1.999, 2] , [1.99, 2] . Use this to estimate the object's instantaneous velocity at t = 2. V(2) = sec
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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![A ball is dropped from a state of rest at timet = 0.
The distance traveled after t seconds is s(t) = 16t² ft.
(a) How far does the ball travel during the time interval (2, 2.5] ?
As
ft
(b) Compute the average velocity over [2, 2.5] .
As
At
ft
sec
(c) Compute the average velocity over time intervals [2, 2.01], [2, 2.001] , [2, 2.0001] , [1.9999, 2] , [1.999, 2] , [1.99, 2] .
Use this to estimate the object's instantaneous velocity at t = 2.
ft
V(2) =
sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd721da83-b4b0-4147-870c-79c150dacba8%2Fee40b9c8-cc50-4ccc-af92-956ce59e992d%2F548nbp_processed.png&w=3840&q=75)
Transcribed Image Text:A ball is dropped from a state of rest at timet = 0.
The distance traveled after t seconds is s(t) = 16t² ft.
(a) How far does the ball travel during the time interval (2, 2.5] ?
As
ft
(b) Compute the average velocity over [2, 2.5] .
As
At
ft
sec
(c) Compute the average velocity over time intervals [2, 2.01], [2, 2.001] , [2, 2.0001] , [1.9999, 2] , [1.999, 2] , [1.99, 2] .
Use this to estimate the object's instantaneous velocity at t = 2.
ft
V(2) =
sec
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