To understand how to find the velocities of particles after a collision. there are two main types of collisions that you will study: elastic and perfectly inelastic. in an elastic collision, kinetic energy is conserved. in a perfectly inelastic collision, the particles stick together and thus retain the same velocity after the collision. there is actually a range of collision types, with elastic and perfectly inelastic at the extreme ends. these extreme cases are easier to solve than the in-between cases. let two objects of equal mass m collide. object 1 has initial velocity v, directed to the right, and object 2 is initially stationary. part a: if the collision is perfectly elastic, what are the final velocities v1 and v2 of objects 1 and 2? part bnow suppose that the collision is perfectly inelastic. what are the velocities v1 and v2 of the two objects after the collision? part cnow assume that the mass of object 1 is 2m, while the mass of object 2 remains m. if the collision is elastic, what are the final velocities v1 and v2 of objects 1 and 2? part dlet the mass of object 1 be m and the mass of object 2 be 3m. if the collision is perfectly inelastic, what are the velocities of the two objects after the collision?