A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time t is h(t) = 30t – 4.9t² m. Compute the stone's average velocity ū in m/s over the time intervals [2, 2.01], [2, 2.001], [2, 2.0001] and [1.9999, 2], [1.999, 2], [1.99, 2]. (Use decimal notation. Give your answers to three decimal places.)

A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time t is h(t) = 30t – 4.9t² m. Compute the stone's average velocity ū in m/s over the time intervals [2, 2.01], [2, 2.001], [2, 2.0001] and [1.9999, 2], [1.999, 2], [1.99, 2]. (Use decimal notation. Give your answers to three decimal places.)

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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If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

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