- #1
LondonLady
- 14
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Hi, I have this question which I am having trouble with
A ship is steaming parallel to a straight coastline, distance D offshore, at speed [tex]v[/tex]. A coastguard cutter, whose speed is u (u<v) seta out from port to intercept the ship. Show that the cutter must start out before the ship passes a point a distance [tex]\displaystyle{D\frac{\sqrt{v^2 - u^2}}{u}}[/tex] back along the coast.
Im looking for a hint of how to go about this.
http://img27.exs.cx/img27/6558/Ships.jpgHeres a picture
Ive tried breaking the u vector into its horizontal and vertical components but that isn't getting me anywhere. Any ideas?
Thankyou
A ship is steaming parallel to a straight coastline, distance D offshore, at speed [tex]v[/tex]. A coastguard cutter, whose speed is u (u<v) seta out from port to intercept the ship. Show that the cutter must start out before the ship passes a point a distance [tex]\displaystyle{D\frac{\sqrt{v^2 - u^2}}{u}}[/tex] back along the coast.
Im looking for a hint of how to go about this.
http://img27.exs.cx/img27/6558/Ships.jpgHeres a picture
Ive tried breaking the u vector into its horizontal and vertical components but that isn't getting me anywhere. Any ideas?
Thankyou