Question

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 7.9 s after the goose first contacts the water. The distance between two wave crests is 60 cm, and in 2.2 s he sees four wave crests hit the shore. Determine how far from the shore the goose landed?

Answer 1

11.85m

Step-by-step explanation:

For the development of this problem we must resort to the concepts of the basic kinematic equations that define the distance of a body, such as speed for a certain time, that is,

`D=v*t`

From the information provided we say that the distance between the cretas is 0.6m,

`D_(crest) = 0.6m`

In our information we have also that the length between the first and latest wave is in time terms of 2.2s. They are 4 waves in 3 intervals then

`D_(T) = D_(crest)*3= 0.6*4 = 2.4m`

`t=1.6s`

`\upsilon = (D_(T))/(t) = (2.4)/(1.6)`

`\upsilon = 1.5 m/s`

Then the distance from the shore is given by the speed of the waves for the total time. That is

`X = \upsilon*T\’`

`X = 1.5*7.9`

`X= 11.85m`