A wave pulse is travelling on a string at 2 m/s. displacement y of the particle at x = 0 at any time t is given by
`y=2/(t^2+1)`
Find
(i) Expression of the function y = (x, t) i.e., displacement of a particle position x and time t.

A wave pulse is travelling along +x direction on a string at 2 m//s . Displacement y (in cm ) of the parrticle at x=0 at any time t is given by 2//(t^(2)+1) . Find (i) expression of the function y=(x,t),i.e., displacement of a particle at position x and time t. Draw the shape of the pulse at t=0 and t=1 s.

A wave pulse is travelling along +x direction on a string at 2 m//s . Displacement y (in cm ) of the parrticle at x=0 at any time t is given by 2//(t^(2)+1) . Find (i) expression of the function y=(x,t),i.e., displacement of a particle at position x and time t. Draw the shape of the pulse at t=0 and t=1 s.

A wave pulse is travelling on a string at 2 m/s. displacement y of the particle at x = 0 at any time t is given by y=2/(t^2+1) Find (ii) Shape of the pulse at t = 0 and t = 1s.

A wave pulse is travelling on a string at 2m//s along positive x-directrion. Displacement y of the particle at x = 0 at any time t is given by y = (2)/(t^(2) + 1) Find Shape of the pulse at t = 0 and t = 1s.

5.The displacement s of a particle at a time t is given by s=2t-5t+4t-3, find (i) the time when the acceleration is 14 ft/sec (ii) the velocity and the displacement at that time.

(i) A sinusoidal wave is travelling along positive x direction and the displacements at two positions x = 0 and x = 1 m are given by y (0, t) = 0.2 cos (3 pi t) and y(1, t)=0.2 cos (3pit+pi/8) Find all possible wavelength of the wave if it is known that wavelength is greater than 0.4 m. (ii) A transverse sine wave of amplitude a = 0.1 cm is travelling along a string laid along the x-axis. The displacement (y) – time (t) graph of the string particle at x = 0.1 m is shown in first figure. The shape of the string at time t = 0.1 s is shown in second figure. At this time the particle at x = 0.11 m is having velocity in positive y direction write the equation of wave.

The coordinates of a particle moving in x-y plane at any time t are (2 t, t^2). Find (a) the trajectory of the particle, (b) velocity of particle at time t and (c) acceleration of particle at any time t.