IN a headon collision between two particles, is it necessary that the particles will acquire a common velocity at least for one instant?

In an elastic collision between two particles

consider a head on collision between two particles of masses m_1 and m_2 . The initial speeds of the particles are u_1 and u_2 in the same direction. The collision starts at t=0 and the particles interact for a time interval /_\t. during the collision the speed of the first particle varies as v(t)=u_1+t//_\ t(v_1-u_1) Find the speed of the second particle as as function of time during the collision.

A particle of mass m with an initial velocity u hati+2u hatj collides with a particle of mass 3m at rest. After collision, the two particles stick together and the combined particle moves with a velocity v hati+v' hatj . Which of the following is incorrect?

Consider a collision between two particles one of which is at rest and the other strikes it head on with momentum P_(1) . Calculate the energy of reaction Q in terms of the kinetic energy of the particles before and they collide.

In an elastic one dimensional collision between two particles the relative veloctiy of approach before collision is

The relation between the particles velocity and wave velocity is -

Show that in a head on elastic collision between two particles, the transference of energy is maximum when their mass ratio is unity.

A wave is travelling towards positive x-direction. If the pulse of the wave at any instant is given as shown in figure then which particle will have negative velocity at any instant?

Two particles of masses m_(1) and m_(2) and velocities u_(1) and alphau_(1)(alpha!=0) make an elastic head on collision. If the initial kinetic energies of the two particles are equal and m_(1) comes to rest after collision, then

Three particles A, B, Care located at the comers of an equilateral triangle as shown in figure. Each of the particle is moving with velocity v. Then at the instant shown, the relative angular velocity of