This is a derivative question Lim t-> 1 I keep getting solutions like this but I do not understand how they got the ‘12’. It is not the right solution

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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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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This is a derivative question Lim t-> 1 I keep getting solutions like this but I do not understand how they got the ‘12’. It is not the right solution
12:52
www.bartleby.com
QSEARCH ASK 見CHAT
K
Step 4
Step 2
We will first consider the given equation, s = 961-61²
a. First objective is to find the instantaneous velocity of the object at t = 1.
As we know, v=-
Thus, we get,
v=96-12t
Now at t = 1,
v=96-12
= 84 ft/sec
Step 3
And
ds
dt
ds
dt
=96-12r
с
b. Next, objective is to find when the object has an instantaneous velocity of 12 ft/sec.
ds
Now, we are given
=12
VX MATH SOLVER
Step 4
Thus, equating together, we get,
12=96-12t
12t=84
Transcribed Image Text:12:52 www.bartleby.com QSEARCH ASK 見CHAT K Step 4 Step 2 We will first consider the given equation, s = 961-61² a. First objective is to find the instantaneous velocity of the object at t = 1. As we know, v=- Thus, we get, v=96-12t Now at t = 1, v=96-12 = 84 ft/sec Step 3 And ds dt ds dt =96-12r с b. Next, objective is to find when the object has an instantaneous velocity of 12 ft/sec. ds Now, we are given =12 VX MATH SOLVER Step 4 Thus, equating together, we get, 12=96-12t 12t=84
3122/2022
Suppose an object is fired vertically
upward from the ground with an initial
velocity of 96ft/sec. The height of the
object above the ground after t seconds
is given by s(t) = 96t - 6t². Determine the
instantaneous velocity of the object at t-1
second.
SECTION:
×
Noitian
Transcribed Image Text:3122/2022 Suppose an object is fired vertically upward from the ground with an initial velocity of 96ft/sec. The height of the object above the ground after t seconds is given by s(t) = 96t - 6t². Determine the instantaneous velocity of the object at t-1 second. SECTION: × Noitian
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