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Time after which kinetic energy is 50% of total energy, starting from the mean position

The same question, asked 2 times: 12 May 2024 S2*, 15 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    12 May 2024 S2

    4
    A particle starts from mean position and performs S.H.M. with period 4 second. At what time its kinetic energy is 50% of total energy? (cos⁡45∘=12)\left(\cos 45^\circ = \frac{1}{\sqrt{2}}\right)

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  2. Question 2

    15 Apr 2026 S1

    119
    A particle starts from mean position and performs S.H.M. with period 66 second. At what time its kinetic energy is 50%50\% of total energy? (cos⁡45∘=1/2)(\cos 45^\circ = 1/\sqrt{2})

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