Four waves are described by the following expressions, where distances are measured in meters and times in seconds.  I) y = 0.12 cos(3x - 21t) II) y = 0.15 sin(6x + 42t) III) y = 0.13 cos(6x + 21t) IV) y = - 0.23 sin(3x - 42t) Which of these waves have the same speed? A) I and II B) I and III C) II and III D) III and IV E) II and IV

Two progressive waves ?1(?,?)=?sin(2???−??)y1(x,t)=Asin⁡(2πλx−ωt) and ?2(?,?)=?sin(2???−??−?2)y2(x,t)=Asin⁡(2πλx−ωt−π2) travel in the same direction. Calculate the speed of the wave produced as a result of interference of these two waves. Take ?=5A=5 cm, ?=4λ=4 m and ?=31.4ω=31.4 Hz. Provide your answer in SI units.

Chapter 16: Problem 12: The captain of a crab boat on the coast of Alaska notes that in a time period of t = 12 minutes, the boat goes up and down n = 28 times. Randomized Variables t = 12 minutes n = 28 a) Input an expression for the frequency of the ocean wave, f.  b) What is the frequency, in hertz?  c) If the crests are d = 100.0 m apart how fast are the waves traveling in meters per second?

1. The equation of certain traveling waves is y(x,t) = 0.0450 sin(25.12x - 37.68t - 0.523)where x and y are in meters, and t in seconds. Determine the following:wave number