3. Suppose a stone is thrown vertically upward from a height of 96 ft above the ground in a vacuum with an initial velocity of 64 ft/. Its height s (in meters) above the ground at t seconds is s(t) = -16t² +64t +96. Find the following. (Be sure to give results with proper units.) () a) Find the velocity and acceleration functions. b) What is the highest point above the ground that the rock reaches? c) With what velocity will the stone hit the ground?

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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3. Suppose a stone is thrown vertically upward from a height of 96 ft above the ground in a vacuum with
an initial velocity of 64 ft/. Its height s (in meters) above the ground at t seconds is
s(t) = -16t² +64t +96. Find the following. (Be sure to give results with proper units.) ()
a) Find the velocity and acceleration functions.
b) What is the highest point above the ground that the rock reaches?
c) With what velocity will the stone hit the ground?
Transcribed Image Text:3. Suppose a stone is thrown vertically upward from a height of 96 ft above the ground in a vacuum with an initial velocity of 64 ft/. Its height s (in meters) above the ground at t seconds is s(t) = -16t² +64t +96. Find the following. (Be sure to give results with proper units.) () a) Find the velocity and acceleration functions. b) What is the highest point above the ground that the rock reaches? c) With what velocity will the stone hit the ground?
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