Suppose an arrow is shot upward on the moon with a velocity of 38 m/s, then its height in meters after t seconds is given by h(t) = 38t - 0.83t². Find the average velocity over the given time intervals. (Round all answers to four decimal places as needed.) [6, 7]: meters/sec [6, 6.5]: [6, 6.1]: [6, 6.01]: [6, 6.001]: meters/sec meters/sec meters/sec meters/sec meters/sec b) Estimate the instantaneous rate of change at t = 6 seconds using the values from above to the hundredths 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
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Suppose an arrow is shot upward on the moon with a velocity of 38 m/s, then its height in meters after t
seconds is given by h(t) 38t - 0.83t². Find the average velocity over the given time intervals.
(Round all answers to four decimal places as needed.)
[6, 7]:
meters/sec
[6, 6.5]:
[6, 6.1]:
[6, 6.01]:
[6, 6.001]:
meters/sec
meters/sec
meters/sec
meters/sec
meters/sec
b) Estimate the instantaneous rate of change at t = 6 seconds using the values from above to the
hundredths place.
Transcribed Image Text:Suppose an arrow is shot upward on the moon with a velocity of 38 m/s, then its height in meters after t seconds is given by h(t) 38t - 0.83t². Find the average velocity over the given time intervals. (Round all answers to four decimal places as needed.) [6, 7]: meters/sec [6, 6.5]: [6, 6.1]: [6, 6.01]: [6, 6.001]: meters/sec meters/sec meters/sec meters/sec meters/sec b) Estimate the instantaneous rate of change at t = 6 seconds using the values from above to the hundredths place.
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