For any particle maintaining SHM has its position X = `5 sin(4t-pi/6)`) x = displacement then find out the velocity at x = 3.

Equation of motion of a particle executing SHM is x=5sin(4t-pi/6)m , where x is the displacement. If the displacement is 3 m, find the velocity of the particle?

The equation of motion of a particle executing SHM is expressed by x=10sin(10t-pi/6) . Establish an equation to express its velocity and also calculate the magnitude of its maximum acceleration.

The equation of motion of a particle executing SHM is x=asin(omegat+pi/6) with time period T. Find the time interval at which the velocity is being half of its maximum value.

What should be the displacement of a particle, executing SHM, from its position of equilibrium so that the velocity of the particle is half of its maximum velocity?

A particle moves in the x-y plane with constant acceleration of 4ms^-2 in the direction making an angle of 60^@ with the x-axis, the particle is at the origin and its velocity is 5 ms^-1 , along the x-axis. Find the velocity and the position of the particle at t=5s.

A particle moves in the x-y plane with constant acceleration of 4 "m.s"^(-2) in the direction making an angle of 60^(@) with the x-axis. Initially, the particle is at the origin and its velocity is 5 "m.s"^(-1) along the x-axis. Find the velocity and the position of the particle at t = 5s.

The displacement (in meter)of a particle, moving along x-axis is given by x=18t + 5t^2 . Calculate instantaneous velocity at t = 2s

The characteristic equation of a particle moving in a curved path are: x=e^(-t), y=cos 3t and z=2 sin 3t, where t stands for time. Find out (i) Velocity and acceleration at any instant,

For any particle the equation of its S.H.M. is 3f + 12x = 0, find out its angular frequency.