Deduce the relations for (a) particle velocity (b) particle acceleration

if the displacement of the particle at an instant is given by y = r sin (omega t - theta) where r is amplitude of oscillation. omega is the angular velocity and -theta is the initial phase of the particle, then find the particle velocity and particle acceleration.

Give examples where a. the velocity of a particle is zero buts its acceleration is not zero. b.the velocity is opposite in direction to the acceleration, c. the velocity is perpendicular to the acceleration.

Deduce an expression for the velocity of a particle executing S.H.M. When is the particle velocity (i) Maximum (ii) minimum ?

Deduce an expression for the velocity of a particle executing S.H.M. When is the particle velocity maximum?

Deduce an expression for the velocity of a particle executing S.H.M. When is the particle velocity minimum?

The velocity time relation of a particle is given by v = (3t^(2) -2t-1) m//s Calculate the position and acceleration of the particle when velocity of the particle is zero . Given the initial position of the particle is 5m .

Relation between wave velocity and particle velocity

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.

The relation between the particles velocity and wave velocity is -

The acceleration of a'particle starting from rest, varies with time according to the relation a=kt+c . The velocity of the particle after time t will be :