Stream Bank Flies
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Stream Bank Flies

Flying airplane Physics?
A dog wishes to swim across a slow-moving stream. The dog can swim at 2 m/s in calm water. The current velocity is 3 m/s. The distance directly across the stream is 50 m.
If the dog points himself directly across the stream how long will it take to get across the stream?
How far downstream will the current have carried the dog when the dog gets to the other side?
What was the dogs velocity relative to the bank from where the dog started?
A.
T=D/S
=50 m/2m/s
=25 seconds
B.
C2=A2+B2
Is that correct? It's a right angle triangle.
..............
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.
.
.
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Up is 2 m/s and sideways is 3 m/s. The resultant would be the hypotenuse correct?
How would I go about getting B and C?! Please.
How do I find out how far down the stream the dog went?
Displacement?
Yes, the resultant would be the net velocity.
V_R = √( (2 m/s)² + (3 m/s)² ) = 3.6 m/s
You know that it takes 25 seconds to cross the stream, so use your 3 m/s to determine how far downstream dog is carried.
Edit.
The key here is the velocity vector can be broken into components (which form a right triangle) and d = v * t.
So total displacement = v_R * t = 3.6m/s * 25s = 90m
Across river displacement = v_R_across * t = 50m
Along bank displacement = v_R_river-current * t = 3m/s * 25 s = 75m
Sporting Scene - Fly Fishing and River Bank Entomology P3.
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