If `x = sin pi (t+1/3)` is the equation of the wave then find its velocity at t=1s

A travelling wave travelled in string in +x direction with 2 cm//s , particle at x = 0 oscillates according to equation y (in mm) = 2 sin (pi t+pi//3) . What will be the slope of the wave at x = 3cm and t = 1s ?

Find the equation of the tangent to the curve x=sin3t , y=cos2t at t=pi/4 .

Find the equation of tangent to the curve x=sin3t,y=cos2tquad at t=(pi)/(4)

A wave is represented by the equation y=7 sin {pi (2t -2x)} here x is in metres and t in seconds. The velocity of the wave is

Equation of the progressive wave is given by : y=a sin pi (40 t-x) where a and x are in metre and t in second. The velocity of the wave is

If a traveling wave is represented by y=(1)/(1+(2t+3x)) find the direction of wave and velocity.

Given the equation for a wave in a string y=0.03sin(3x-2t) where y and x are in metre and t is in second, answer the following : 1. At t=0 , what is the displacement at x=0 ? 2. At x=0.1m , what is the displacment at t=0.2s ? 3 . What is the velocity of propagation of the wave ? 4 . What is the equation for the velocity of oscillation of the particles of the string? What is the maximum velocity of oscillation.

Find the equation of the tangent to the curve x=sin3t,y=cos2tquad at t=(pi)/(4)

The equation of a prticle executing simple harmonic motion is x=(5m)sin[(pis^-1)t+pi/3]. Write down the amplitude time period and maximum speed. Also find the velocity at t=1s.

The equation of a progressive wave is y =4 sin (4 pi t-0.04 x+pi/3) where x is in metre and t is in second. The velocity of the wave is