Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 7 mi directly out in the water from a point B on shore. Point B is 16 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.23 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? 7 ● X 16 Total energy (Energy rate over water) (Distance over water) + (Energy rate over land) (Distance over land) 16-X ●
Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 7 mi directly out in the water from a point B on shore. Point B is 16 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.23 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? 7 ● X 16 Total energy (Energy rate over water) (Distance over water) + (Energy rate over land) (Distance over land) 16-X ●
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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Part 1
| Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 7 mi directly out in the water from a point B on shore. Point B is
16 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.23 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A?
|
Transcribed Image Text:Homing pigeons avoid flying over water. Suppose a homing
pigeon is released on an island at point C, which is 7 mi directly
out in the water from a point B on shore. Point B is 16 mi
downshore from the pigeon's home loft at point A. Assume that
a pigeon flying over water uses energy at a rate 1.23 times the
rate over land. Toward what point S downshore from A should
the pigeon fly in order to minimize the total energy required to
get to the home loft at A?
=
7
●
16
Total energy (Energy rate over water) (Distance over water) + (Energy rate over land) • (Distance
over land)
X
Point S is
miles away from point A.
(Type an integer or decimal rounded to three decimal places as needed.)
16-x
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