Ball 1 is moving and ball 2 is still. Both balls have the same mass. What happens to the motion of the two balls if ball 1 strikes ball 2 head on in an elastic collision?

This statement is incorrect because, in an elastic collision involving equal masses, ball 1 cannot move faster than its original speed after transferring all its momentum to ball 2. The laws of conservation of momentum and energy dictate that ball 1 will stop, making this scenario impossible.

This option misrepresents the outcome of the collision. Since both balls have the same mass, ball 2 can only take on the velocity of ball 1, not double it. The laws of conservation of momentum ensure that the total momentum remains constant, thus making this scenario unfeasible.

This choice is incorrect as it violates the conservation of momentum principle. After colliding with ball 2, ball 1 cannot accelerate to twice its original velocity while ball 2 remains at rest, as this would result in an increase in the system's overall momentum, which contradicts the fundamental laws of physics governing elastic collisions.