A swimming duck paddles the water with its feet once every 1.6 s, producing surface waves with this period. The duck is moving at constant speed in a pond where the speed of surface waves is 0.32 m/s, and the crests of the waves ahead of the duck are spaced 0.12 m apart. (a) What is the duck’s speed? (b) How far apart are the crests behind the duck?

A fisherman at sea in a 5.55.5 meter boat bobs in the waves. He counts that a new wave crest hits the front of his boat every 2.02.0 seconds. Looking out at the water, the distance between the crests seems to be twice the length of his boat. What is the frequency of the waves that rock the fisherman's boat?     AND   What is the velocity of the waves that rock the fisherman's boat?

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 2.6 s for the boat to travel from its highest point to its lowest, a total distance of 0.53 m. The fisherman sees that the wave crests are spaced 4.8 m apart. How fast are the waves traveling? (Give your answer in m/s.)

A large goose lands in a lake and bobs up and down for a short time. A fisherman notices that the first wave crest created by the goose reaches the shore 7.8 s after the goose first contacts the water. The distance between two wave crests is 90 cm, and in 2.2 s he sees four wave crests hit the shore. Determine how far from the shore the goose landed. Note: My calculations give me 12.76 but it is incorrect.