When a ball is dropped from a state of rest at time t = 0, the distance it has travelled after t seconds is s(t) = 4.91² meters. (a) How far does the ball travel during the time interval [3, 3.5]? (Use decimal notation.) distance: meters (b) Compute the average velocity over the time interval [3, 3.5]. (Use decimal notation.) average velocity: m/sec (c) By computing the average velocity over the time intervals [3, 3.1], [3, 3.01], and [3, 3.001], estimate the ball's instantaneous velocity at t = 3. (Round your answer to one decimal place.)
When a ball is dropped from a state of rest at time t = 0, the distance it has travelled after t seconds is s(t) = 4.91² meters. (a) How far does the ball travel during the time interval [3, 3.5]? (Use decimal notation.) distance: meters (b) Compute the average velocity over the time interval [3, 3.5]. (Use decimal notation.) average velocity: m/sec (c) By computing the average velocity over the time intervals [3, 3.1], [3, 3.01], and [3, 3.001], estimate the ball's instantaneous velocity at t = 3. (Round your answer to one decimal place.)
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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![When a ball is dropped from a state of rest at time t = 0, the distance it has travelled after t seconds is s(t) = 4.9t2 meters.
(a) How far does the ball travel during the time interval [3, 3.5]?
(Use decimal notation.)
distance:
meters
(b) Compute the average velocity over the time interval [3, 3.5].
(Use decimal notation.)
average velocity:
m/sec
(c) By computing the average velocity over the time intervals [3, 3.1], [3,3.01], and [3,3.001], estimate the ball's
instantaneous velocity at t = 3.
(Round your answer to one decimal place.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bd27082-9d2c-4676-936d-549eaba6f5d2%2F45c5bc25-959b-4434-ac52-12f36ba0d481%2F4h1wq6s_processed.png&w=3840&q=75)
Transcribed Image Text:When a ball is dropped from a state of rest at time t = 0, the distance it has travelled after t seconds is s(t) = 4.9t2 meters.
(a) How far does the ball travel during the time interval [3, 3.5]?
(Use decimal notation.)
distance:
meters
(b) Compute the average velocity over the time interval [3, 3.5].
(Use decimal notation.)
average velocity:
m/sec
(c) By computing the average velocity over the time intervals [3, 3.1], [3,3.01], and [3,3.001], estimate the ball's
instantaneous velocity at t = 3.
(Round your answer to one decimal place.)
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