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Minimum distance between two particles of a sine wave that always have the same speed

The same question, asked 2 times: 12 May 2026 S2*, 15 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    12 May 2026 S2

    121
    The equation of a wave travelling on a string is Y=sin⁡(20πx+10πt)Y = \sin(20\pi x + 10\pi t), where xx and tt are distance and time in SI units. The minimum distance between two points having the same oscillating speed is

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  2. Question 2

    15 May 2026 S2

    121
    In a sine wave, minimum distance between 22 particles always having same speed is

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