If two objects collid and one is initially at rest, is it possible for both to be at rest after the collision?

Is it NOT possible for both particles to be at rest after the collision

Explanation:

Law Of Conservation Of Linear Momentum

The total linear momentum of a system of particles is conserved regardless of their internal interactions while no external force is applied to the system. If and are the masses of two particles, and only one of them is at rest, there is a non-zero total linear momentum, i.e.

if at least one of the speeds is not zero, the total initial linear momentum is not zero.

If after the collision, both particles remain at rest, both speeds will be zero and the total linear momentum won't be conserved.

So, is it NOT possible for both particles to be at rest after the collision

the answer is a)

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