For example 32, considering equal mases, get the expressions for the velocities of bodies after the collision.

Explanation

Put `m_(1)=m_(2)=m(say), ` in equations (x) & (xi)
Putting `m_(1)m_(2)=m` in equation (10)
`v_(1)=(m-m)/(m+m)u_(1)+(2m)/(m+m)u_(2)`
`v_(1)=u_(2)`
i.e., velocity of A after collision = velocity of B before collision
From equation (11)
`v_(2)=(2m u_(1))/(m+m)=((m-m)u_(2))/(m+m)`
`v_(2)=u_(1)`
i.e., velocity of B after collision = velocity of A before collision
`implies` When two bodies of equal masses undergo elastic collision in one dimension, their velocities are interchanged.