Asked by JuanPro
A boat leaves point P on one side of a river bank and travels with constant
velocity V in a direction towars point Q on the other side of the river directly
oposite P and distance D from it If r is the instantaneous distance from Q to the boat,
θ is the angle between r, and PQ, and the river travel with speed v, prove that the path of the boat
is given by
r=D*sec(θ)/(sec(θ)+tan(θ))^(V/v)
P
...................
|.
| .
| . --> v
D X
| .
| .
| .
|θ . V
| .
..................
¨ Q
Murray Spiegel 1.144
velocity V in a direction towars point Q on the other side of the river directly
oposite P and distance D from it If r is the instantaneous distance from Q to the boat,
θ is the angle between r, and PQ, and the river travel with speed v, prove that the path of the boat
is given by
r=D*sec(θ)/(sec(θ)+tan(θ))^(V/v)
P
...................
|.
| .
| . --> v
D X
| .
| .
| .
|θ . V
| .
..................
¨ Q
Murray Spiegel 1.144
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