If a stone is dropped from a height of 1,296 feet, its height s after t seconds is given by s(t) = 1,296 − 16t2, with s in feet. (a) Compute s'(t). s'(t) = Find the stone's velocity at times t = 0, 1, 2, 3, and 4 seconds. s'(0) = ft/sec s'(1) = ft/sec s'(2) = ft/sec s'(3) = ft/sec s'(4) = ft/sec (b) When does the stone reach the ground, and how fast is it traveling when it hits the ground?[It reaches the ground when s(t) = 0.] The stone is traveling at a velocity of ______________ ft/sec when it hits the ground at _____________seconds.
If a stone is dropped from a height of 1,296 feet, its height s after t seconds is given by s(t) = 1,296 − 16t2, with s in feet. (a) Compute s'(t). s'(t) = Find the stone's velocity at times t = 0, 1, 2, 3, and 4 seconds. s'(0) = ft/sec s'(1) = ft/sec s'(2) = ft/sec s'(3) = ft/sec s'(4) = ft/sec (b) When does the stone reach the ground, and how fast is it traveling when it hits the ground?[It reaches the ground when s(t) = 0.] The stone is traveling at a velocity of ______________ ft/sec when it hits the ground at _____________seconds.
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 stone is dropped from a height of 1,296 feet, its height s after t seconds is given by s(t) = 1,296 − 16t2, with s in feet.
(a) Compute s'(t).
(b) When does the stone reach the ground, and how fast is it traveling when it hits the ground?[It reaches the ground when
s'(t) =
Find the stone's velocity at times t = 0, 1, 2, 3, and 4 seconds.
s'(0) =
|
ft/sec |
s'(1) =
|
ft/sec |
s'(2) =
|
ft/sec |
s'(3) =
|
ft/sec |
s'(4) =
|
ft/sec |
(b) When does the stone reach the ground, and how fast is it traveling when it hits the ground?[It reaches the ground when
s(t) = 0.]
The stone is traveling at a velocity of ______________ ft/sec when it hits the ground at _____________seconds.
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