How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s?

A wave is modeled with the function y(x,t) = (0.25m)cos(0.30m x-0.90s-1t+r/3). Find (0.5+ (a) the amplitude, (b) the wave speed, (c) the direction of the wave

The depth to an unusual layer of rock is to be determined at a particular place by bouncing an artificially generated seismic wave off it and receiving the echo at the surface. When this is done, the depth is given by the equation, h = (1/2) v t, in which h is the depth, v is the average velocity of the seismic wave, and t is the time that it takes for the wave to go down to the rock layer and return to the surface. If t = 0.350 +/- 0.10, and v = 2,000 +/- 10. meters per second, what is the possible error in the depth. (Show your work, and remember to express your results in the correct number of significant figures.)

Ocean waves are traveling to the east at 3.4 m/s with a distance of 19 m between crests. (a) With what frequency do the waves hit the front of a boat when the boat is at anchor? Hz (b) With what frequency do the waves hit the front of a boat when the boat is moving westward at 1.0 m/s? Hz