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Velocities after a one-dimensional elastic collision

This type of question, asked 2 times: 19 Apr 2025 S1, 15 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    19 Apr 2025 S1

    37
    There is head-on elastic collision between the two particles moving in the same direction with speeds 5 m/s5\text{ }m/s and 3 m/s3\text{ }m/s respectively. After collision, the velocity of the first particle becomes 4 m/s4\text{ }m/s in the same direction. The velocity of the second particle should be

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  2. Question 2

    15 Apr 2026 S1

    105
    Two masses m1m_1 and m2m_2 moving with velocities V1V_1 and V2V_2 in opposite directions collide elastically and after collision m1m_1 and m2m_2 move with velocities V2V_2 and V1V_1 respectively. The ratio m2m1\dfrac{m_2}{m_1} is

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