Posted by Amanda on Saturday, March 29, 2008 at 9:50pm.
It already says the crests of the waves are 0.12 m apart, but I suspect that may be for the forward direction. They will be farther apart behind the duck, because it moves away before the next paddle.
The duck creates a wave with each paddle. The wave moves 0.32 m/s * 1.6 s = 0.512 ahead with each paddle, but 0.12 m behind each crest there is a new wave, indicating that the duck moved 0.392 m in 1.6 s. The duck's speed is 0.392 m/1.6 s = 0.245 m/s. The duck is traveling at 76% of the wave speed, reducing the wave separation ahead of it.
Behind the duck, the distance between wave crests is the distance a wave travels in 1.6 s (0.512 m PLUS the distance that the duck has moved away in that time, 0.392 m. The total wave separation is 0.904 m.
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