An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile is 100 meters from the intersection, a truck traveling at the rate of 40 m/s crosses the intersection. The automobile and the truck are on perpendicular roads. How fast is the distance between the truck and the automobile changing two seconds after the truck leaves the intersection?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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An automobile traveling at the rate of 20 m/s is
approaching an intersection. When
the automobile is 100 meters from the intersection,
a truck traveling at the rate of 40 m/s
crosses the intersection. The automobile and the
truck are on perpendicular roads. How
fast is the distance between the truck and the
automobile changing two seconds after
the truck leaves the intersection?
Please show your complete solution and write
clearly and readable. Thank you.
Transcribed Image Text:An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile is 100 meters from the intersection, a truck traveling at the rate of 40 m/s crosses the intersection. The automobile and the truck are on perpendicular roads. How fast is the distance between the truck and the automobile changing two seconds after the truck leaves the intersection? Please show your complete solution and write clearly and readable. Thank you.
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