A police car starts traveling south, from a position 13 km north of Lawrence, toward Lawrence at the constant speed of 0.5 km/min. It pursues a truck that is traveling east, from a position 2 km east of Lawrence, away from Lawrence at the constant speed 3 km/min (See figure to the right). When is the distance be- tween the two vehicles at a minimum? Y Lawrence Police Car 30 km/h X Truck -> 180 km/h

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
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Problem 61P: In the control tower at a regional airport, an air traffic controller monitors two aircraft as their...
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Subject: physic

A police car starts traveling south,
from a position 13 km north of Lawrence, toward
Lawrence at the constant speed of 0.5 km/min.
It pursues a truck that is traveling east, from
a position 2 km east of Lawrence, away from
Lawrence at the constant speed 3 km/min (See
figure to the right). When is the distance be-
tween the two vehicles at a minimum?
Y
I
Lawrence
Police Car
30 km/h
<-----
X
Truck
--> 180 km/h
Transcribed Image Text:A police car starts traveling south, from a position 13 km north of Lawrence, toward Lawrence at the constant speed of 0.5 km/min. It pursues a truck that is traveling east, from a position 2 km east of Lawrence, away from Lawrence at the constant speed 3 km/min (See figure to the right). When is the distance be- tween the two vehicles at a minimum? Y I Lawrence Police Car 30 km/h <----- X Truck --> 180 km/h
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