A road perpendicular to a highway leads to a farmhouse located a = 1.2 km away. An automobile travels past the farmhouse at a speed of v= 84 km/h. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 3.6 km past the intersection of the highway and the road? Let / denote the distance between the automobile and the farmhouse, and let s denote the distance past the intersection of the highway and the road. v km/h Automobile (Use decimal notation. Give your answer to three decimal places.)
A road perpendicular to a highway leads to a farmhouse located a = 1.2 km away. An automobile travels past the farmhouse at a speed of v= 84 km/h. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 3.6 km past the intersection of the highway and the road? Let / denote the distance between the automobile and the farmhouse, and let s denote the distance past the intersection of the highway and the road. v km/h Automobile (Use decimal notation. Give your answer to three decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A road perpendicular to a highway leads to a farmhouse located a =
An automobile travels past the farmhouse at a speed of v = 84 km/h. How fast is the distance between the automobile and the
farmhouse increasing when the automobile is 3.6 km past the intersection of the highway and the road?
Let I denote the distance between the automobile and the farmhouse, and let s denote the distance past the intersection of the
highway and the road.
a
v km/h
1.2 km away.
Automobile
(Use decimal notation. Give your answer to three decimal places.)
Transcribed Image Text:A 5-m ladder leans against a wall. Assume the bottom slides away from the wall at a rate of 0.5 m/s.
Med
h
X
5
t=0 t = 1 t = 2
-X
The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom.
Find the velocity of the top of the ladder at t = 2 s if the bottom is 1.5 m from the wall at t = 0 s.
(Use decimal notation. Give your answer to three decimal places.)
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