Question

two elastic balls collide head on write down the expressions for velocities of the balls ofter collision in ferms of masses and inital velocities of the colliding particles
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Answer 1

hope this will help you .

for derivation just conserve linear momentum and kinetic energy of system before and after collision

Answer 2

Answer:

For elastic collision we have;

$V1 = \frac{(m1 - m2)u1 }{m1 + m2} + \frac{2m2 \,u2}{m1 + m2}$

Also;

$V2 = \frac{m2 - m1) u2}{m1 + m2} + \frac{2m1\, u1}{m1 + m2}$

Hope it helps! ;-))