Brian is a lifeguard and spots a drowning child 30 meters along the shore and 50 meters from the shore to Prian runs along the shore for a while and then jumps into the water and swims from there hild

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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50
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30
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10 20 30
Brian is a lifeguard and spots a drowning child 30 meters along the shore and 50 meters from the shore to
the child. Brian runs along the shore for a while and then jumps into the water and swims from there
directly to the child. Brian can run at a rate of 5 meters per second and swim at a rate of 1 meter per
second. How far along the shore should Brian run before jumping into the water in order to save the child?
Round your answer to three decimal places.
Transcribed Image Text:50 40 30 20 10 -10 10 20 30 Brian is a lifeguard and spots a drowning child 30 meters along the shore and 50 meters from the shore to the child. Brian runs along the shore for a while and then jumps into the water and swims from there directly to the child. Brian can run at a rate of 5 meters per second and swim at a rate of 1 meter per second. How far along the shore should Brian run before jumping into the water in order to save the child? Round your answer to three decimal places.
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