A particle executes S.H.M. given by the equation y = 0.45 sin 2t where y is in meter and t is in second. What is the speed of the particle when its displacement is 7.5 cm?

A particles executes SHM according to the equation y = 2 sin 2pit , where y is displacement in m and t is time in s. The distance covered by the particle in 4 s of its motion is

A particle executes SHM according to the equation, y=4sin( pi t+(pi)/(3)) ,where y is in m and t is in' s '.The phase of particle at time t=0 is

The displacement of a particle executing S.H.M. is given by y = 10 sin [6t + (pi)/(3)] where y is in metres and t is in seconds. Then the initial displacement and velocity of the particle is

A particle has displacement y given by y =3 sin (5 pi t + pi) , where y is in meter and t is in second. What are frequency and period of motion ?

A particle executes SHM represented by the equation 10y=01sin50pit, where the displacement y is in metre and time t in second. Find the amplitude and frequency of the particle.

Displacement of a particle is given by the expression x = 3 t ^ { 2 } + 7 t - 9 , where x is in meter and t is in seconds. What is acceleration ?

When a wave travels in a medium the particles displacement is given by the equation y(x,t)=0.03sin pi (2t-0.01x) Where y and x are in metre and t in second. The wavelengths of the wave is

The x and y coordiates of a particle at any time t are given by x = 7t + 14 t^(2) and y = 5t, where x and y are in metre and t is in second. The acceleration of the particle at t = 5 s is