A surface ocean wave has an amplitude of 0.60 m and the distance from trough to trough is 8.00 m. It moves at a constant wave speed of 1.50 m/s propagating in the positive x-direction. At t=0, the water displacement at x = 0 is zero, and vy is negative. Assuming the wave can be modeled as a sine wave, write a wave function to model the wave in 3 ways.

Q-4. The equation of a transverse wave traveling along a very long string is y = 0.6 sin(0.020tx + 4.0nt) y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave, and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 3.5 cm when t = where x and 0.26 s?

The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds.  Determine:  b.  the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection!

Pls help on this question. Pls explain with steps.

Two waves are traveling on the same string. The displacement of the first is given by y₁ = 0.0300 sin(400лt - 2лx) and of the second by y2 = 0.0300 sin (400лt - 2x + 44), with x and y in meters and t in seconds. What is the amplitude of the resultant wave? i m

A transverse wave yields a 'y' value as a sine function of 'x' and 't'. The wave oscillates between +0.6 m and -0.6 m. The wavenumber for this transverse wave is 12.5 rad/m and the angular frequency is 3.2 rad/s. What is the minimum amount of time it would take for the wave to travel from a point on the wave that has a value of ya = +0.4 m to another point that has a value of yb = -0.25 m?

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.)

Suppose that there is a seismic P wave traveling at 5.1 x 103 m/s with a wavelength of 2.1 x 103 m. (a) Find the wave's frequency.(b) Find the average speed of a particle of the earth's surface at a point where the wave amplitude is 2.3 cm.

For this wave find (a) its velocity of propagation (b) the transverse velocity (c) the transverse acceleration (d) the maximum displacement, velocity and acceleration of a particle on the string. 5. Retry the previous problem for the wave: πT y = 7.35 cos(6x + 15t

The displacement, y , of particles in a wave travelling along the x-axis is given by y(x, t) = 2xe-*-3t + 6te-x-3t for x and y measured in centimetres and t in seconds. (a) Use the one-dimensional wave equation to determine the phase speed of the wave. In what direction does the wave propagate? (b) Show that a particle at any position x along the wave obeys the equation of motion, a²y ду at? +6. + 9y = 0 at What kind of oscillation does this describe?