While anchored in the middle of a lake, you count exactly three waves hitting yo

Question

While anchored in the middle of a lake, you count exactly three waves hitting your boat every 14.0 s . You raise anchor and start motoring slowly in the same direction the waves are going. When traveling at 1.00 m/s , you notice that exactly two waves are hitting the boat from behind every 14.0 s.

Part A

What is the speed of the waves on the lake?

While anchored in the middle of a lake, you count exactly three waves hitting your boat every 14.0 s . You raise anchor and start motoring slowly in the same direction the waves are going. When traveling at 1.00 m/s , you notice that exactly two waves are hitting the boat from behind every 14.0 s.

Part A

What is the speed of the waves on the lake?

Explanation / Answer

let x is the wavelength of the wave.

velocity of the wave, v = distance travelled/time taken

= 3*x/14 ------(1)

velocity of the wave with respect to the boat when boat is in motion = 2*x/14

3*x/14 - 1 = 2*x/14

3*x/14 - 2*x/14 = 1

x/14 = 1

x = 14 m

from equation 1,

wave seed, v = 3*x/14

= 3*14/14

= 3 m/s <<<<<<<<<------------Answer

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