Ocean waves of wavelength 22 m are moving directly toward a concrete barrier wall at 4.6 m/s . The waves reflect from the wall, and the incoming and reflected waves overlap to make a lovely standing wave with an antinode at the wall. (Such waves are a common occurrence in certain places.) A kayaker is bobbing up and down with the water at the first antinode out from the wall. Required:
a. How far from the wall is she?
b. What is the period of her up-and-down motion?

a)  

b)  

Explanation:

From the question we are told that:

Wavelength

Velocity

a)

Generally the equation for distance between her and the wall d is mathematically given by

Since

The First Anti node distance is

Therefore

b)

Generally the equation for her up-and-down motion is mathematically given by

mistakes are ok

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)