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In a head-on elastic collision of two bodies of equal masses, it is not possible that:

1. the velocities are interchanged
2. the speeds are interchanged
3. the momenta are interchanged
4. the faster body speeds up and the slower body slows down

Correct answer: the faster body speeds up and the slower body slows down

Solution

For a head-on elastic collision between equal masses, the bodies exchange velocities. Therefore velocities, speeds, and momenta are effectively interchanged in the 1D case. The statement that the faster body speeds up and the slower body slows down is opposite to the actual behavior, so it is not possible.

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