The velocity of fluid particle at a point on streamline in which direction it obtain ?

The velocity of a particle moving in the positive direction of the x axis varies as v=5sqrtx , assuming that at the moment t=0 the particle was located at the point x=0 , find acceleration of the particle.

A particle A moves along a circle of radius R=50cm so that its radius vector r relative to the point O(figure) rotates with the constant angular velocity omega=0.40rad//s . Find the modulus of the velocity of the particle, and the modulus and direction of its total acceleration.

The velocity of a particle moving in the positive direction of the x axis varies as v=alphasqrtx , where alpha is a positive constant. Assuming that at the moment t=0 the particle was located at the point x=0 , find: (a) the time dependence of the velocity and the acceleration of the particle, (b) the mean velocity of the particle averaged over the time that the particle takes to cover the first s metres of the path.

In a steady flow velocity of the fluid at each point remains identical with time .

In the Q. 122 what will be the velocity of the particle when it returns to the starting point?

Angular velocity of a particle is given w.r.t. the point which the position vector of particle is considered. Here omega_(PO)=(dalpha)/(dt) omega_(PA)=(dbeta)/(dt) omega_(PO)=2omega_(PA)

Amplitude of a harmonic oscillator is A , when velocity of particle is half of maximum velocity, then determine posiition of particle.

Assertion: In successive time intervals if the average velocities of a particle are equal then the particle must be moving with constant velocity. Reason: When a particle moves with uniform velocity, its displacement always increases with time.

.Does the velocity of all particles of a system is equal to the velocity of centre of mass?..

A and B are two points on the path of a particle executing SHM in a straight line, at which its velocity is zero. Starting from a certain point X (AXltBX) the particle crosses this pint again at successive intervals of 2 seconds and 4 seconds with a speed of 5m//s Q. Amplitude of oscillation is