The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building is given by s = −16t² + 555. (a) Find the average velocity on the interval [1, 5]. ft/s (b) Find the instantaneous velocities when t = 1 and when t = 5. s'(1) = s'(5) = ft/s ft/s (c) How long will it take the dollar to hit the ground? (Round your answer to two decimal places.) s (d) Find the velocity of the dollar when it hits the ground. (Round your answer to one decimal place.) ft/s

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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The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building is given by s= -16t² + 555.
(a) Find the average velocity on the interval [1, 5].
ft/s
(b) Find the instantaneous velocities when t = 1 and when t = 5.
s'(1) =
s'(5) =
ft/s
ft/s
(c) How long will it take the dollar to hit the ground? (Round your answer to two decimal places.)
S
(d) Find the velocity of the dollar when it hits the ground. (Round your answer to one decimal place.)
ft/s
Transcribed Image Text:The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building is given by s= -16t² + 555. (a) Find the average velocity on the interval [1, 5]. ft/s (b) Find the instantaneous velocities when t = 1 and when t = 5. s'(1) = s'(5) = ft/s ft/s (c) How long will it take the dollar to hit the ground? (Round your answer to two decimal places.) S (d) Find the velocity of the dollar when it hits the ground. (Round your answer to one decimal place.) ft/s
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