and 0(10.5)= 25. A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east away from Sioux Falls at 140 km/h (Figure 0, the police car is 20 km north and the truck is 30 km 12). At time t === east of Sioux Falls. Calculate the rate at which the distance between the vehicles is changing: (a) At time t = 0 (b) 5 min later gend do y soithdaiba yo 175 DRE 160 km/h Sioux Falls X tot st SE bin 16 pres sh da ni) Sm 140 km/h

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 25 (b) A) is 27.74 km/hr. How do you figure out problem B? Thanks
he moment when the top and
e change at a rate of 2 cm/s.
whenr 10 and h= 207
a farmhouse located 2 km
farmhouse at a speed of
utomobile and the farm-
st the intersection of the
post at a speed
s increasing in
505
auntving ads
==005
dow
light that
the beam and the line
(Figure 11). How fast is this dot moving when?
23. A rocket travels vertically at a speed of 1200 km/h. The rocket is
tracked through a telescope by an observer located 16 km from the launch-
ing pad. Find the rate at which the angle between the telescope and the
ground is increasing 3 min after lift-off.
FIGURE 11
24. Using a telescope, you track a rocket that was launched 4 km away,
recording the angle between the telescope and the ground at half-
second intervals. Estimate the velocity of the rocket if 0(10) = 0.205
and 0(10.5)= 0.225, od bas got or ?
ban (albosageir
dbstulos y
soitedsibe
Laser
25. A police car traveling south toward Sioux Falls, Iowa, at 160 km/h
pursues a truck traveling east away from Sioux Falls at 140 km/h (Figure
12). At time t = 0, the police car is 20 km north and the truck is 30 km
east of Sioux Falls. Calculate the rate at which the distance between the
vehicles is changing:
(a) At time t=0
(b) 5 min later
bus .me 001 = V
160 km/h
Sioux Falls
X
FIGURE 12
zab Se brin 16
ng ni)
140 km/h
1 DC4 là bắt
mo 00=
Transcribed Image Text:he moment when the top and e change at a rate of 2 cm/s. whenr 10 and h= 207 a farmhouse located 2 km farmhouse at a speed of utomobile and the farm- st the intersection of the post at a speed s increasing in 505 auntving ads ==005 dow light that the beam and the line (Figure 11). How fast is this dot moving when? 23. A rocket travels vertically at a speed of 1200 km/h. The rocket is tracked through a telescope by an observer located 16 km from the launch- ing pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off. FIGURE 11 24. Using a telescope, you track a rocket that was launched 4 km away, recording the angle between the telescope and the ground at half- second intervals. Estimate the velocity of the rocket if 0(10) = 0.205 and 0(10.5)= 0.225, od bas got or ? ban (albosageir dbstulos y soitedsibe Laser 25. A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east away from Sioux Falls at 140 km/h (Figure 12). At time t = 0, the police car is 20 km north and the truck is 30 km east of Sioux Falls. Calculate the rate at which the distance between the vehicles is changing: (a) At time t=0 (b) 5 min later bus .me 001 = V 160 km/h Sioux Falls X FIGURE 12 zab Se brin 16 ng ni) 140 km/h 1 DC4 là bắt mo 00=
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