The progressive wave, is represented by the following equation — `y = 20sqrt 3 sin ((2pit)/T - (2pi x)/lambda))` , find the' displacement at time `t = tau//3 ` and ` x= lambda//6`

If the equation of a progressive wave is— y = 2 sin 2pi (t/4 - x/12) then what will be the displacement at x = 3m & t = 2 sec?

What is the amplitude, frequency and initial phase of the SHM represented by the equation : x=2sin(10pit+pi/6)m ?

Find the equation to the locus represented by the parametric equations x=2t^(2)+t+1, y=t^(2)-t+1 .

When two progressive waves y_(1) = 4 sin (2 x - 6t) and y_(2) = 3 sin (2x - 6t -(pi)/(2)) are superposed, the amplitude of the resultant wave is

For a particle displacement (x) and time (t) are related by the following equation : x = (3t^(2)+2t+5) m. If time is expressed in second, find the initial velocity of the particle.

Find y_2 in each of the following cases: y=t^2+t^3 , x=t-t^4

The equation of a progressive wave in a medium is y= a sin ( 100 pi t +(pi)/( 10) x) , where x is in metre and t is in second . The velocity of wave in the medium is