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

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.

The space between______particles is the greatest one.

Define particle velocity.

Elastic headon collision, consider two particles one is moving and another one is stationary with their respective masses m and M/m . A moving particle meets collides elastically on stationary particle in the opposite direction. Find the kinetic energy of the stationary particle after a collision.

After perfectly inelastic collision between two identical particles moving with same speed in different directions, the speed of the particles become half the initial speed. Find the angle between the two before collision.

The position vector of a particle is given vecr= 2thati+3t^(2)hatj-5hatk calculate the velocity and speed of the particle at any instant 't'.

Two particles having charges Q_(1) and Q_(2) , when kept at a certain distance, exert a force F on each other. If the distance between the two particles is reduced to half and the charge on each particle is doubled. Find the force between the particles.

What causes variation in velocity of a particle ?