Hello! I am Tweety. Today, I get the bird…. Hector Created by Daniel Cromer .
Post on 28-Mar-2015
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Hello! I am Tweety.
Today, I get the bird….
Hector
Created by Daniel Cromerhttp://www.danielcromer.com
I will wait until Tweety is up on his bird house. Then, I’ll take a ladder and snatch him!
Hector, I am going to my birdhouse. Watch out for the
cat.
Yes boss.
Tweety is resting in a bird house, 24 feet off the ground.
Using a 26 foot ladder, leaned against the pole holding the bird house, Sylvester tries to steal the small yellow bird.
Tweety’s bodyguard, Hector the dog, starts pulling the base of the ladder away from the pole at a rate of 2 ft/s.
How fast is the ladder falling when it is 10 ft off
the ground?
26 ft
24 ft
Not so fast!!!
!!
How fast is the ladder falling (dy/dt) when it is 10 ft off the ground (y)?
26 fty
x
Known Values:
ft/s2dt
dx
ft10y
ft26L
LS
olve
for
:
dt
dy
Equation:
222 L yx
Solving for related rates:
1. Prepare Equation
2. Substitute Values
26 fty
x
L
Equation:
222 L yx
Solving for related rates requires the derivative of the equation with respect
to time.dt
dy
Sol
ve f
or:
dt
dy
ydtdxx
dt
dy
How fast is the ladder falling (dy/dt) when it is 10 ft off the ground (y)?
26 fty
x
Known Values:
ft/s2dt
dx
ft10y
ft26L
LS
olve
for
:
dt
dy
Equation:
222 L yx
ydtdxx
dt
dy
Solving for related rates:
1. Prepare Equation
2. Substitute Values
Known Values:
ft/s2dt
dx
ft10y
ft26L
Equation:
ydtdxx
dt
dy
dt
dy
Known Values:
ft/s2dt
dx
ft10y
ft26L
Equation:
222 L yx
x ft24x
Known Values:
ft/s2dt
dx
ft10y
ft26L
Equation:
ydtdxx
dt
dy
ft24x
ft10
ft/s)2(x
dt
dy ft/s8.4
dt
dy
4ft2
How fast is the ladder falling (dy/dt) when it is 10 ft off the ground (y)?
26 fty
x
Known Values:
ft/s2dt
dx
ft10y
ft26L
L
Equation:
ydtdxx
dt
dy
Solving for related rates:
1. Prepare Equation
2. Substitute Values
ft/s8.4dt
dy
Tweety is resting in a bird house, 24 feet off the ground.
Using a 26 foot ladder, which Sylvester leans against the pole, holding the bird house, Sylvester tries to steal the small
yellow bird.
Tweety’s bodyguard, Hector the dog, starts pulling the base of the ladder away from the pole at a rate of 2 ft/s.
How fast is the ladder falling when it is 10 ft off
the ground?
ft/s8.4dt
dy
I am so very happy! I have been saved
from the cat!
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