PYQ Vault

Displacement at which the speed is a given fraction of the maximum speed

The same question, asked 4 times: 9 May 2023 S1*, 15 May 2023 S2*, 22 Apr 2025 S2*, 17 Apr 2026 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2023 S1

    43
    A particle is performing S.H.M. with an amplitude 4 cm. At the mean position the velocity of the particle is 12 cm/s. When the speed of the particle becomes 6 cm/s, the distance of the particle from mean position is

    Tap an option to check your answer.

  2. Question 2

    15 May 2023 S2

    4
    For a particle executing S.H.M. having amplitude AA, the speed of the particle is 13\frac{1}{3}rd of its maximum speed when the displacement from the mean position is

    Tap an option to check your answer.

  3. Question 3

    22 Apr 2025 S2

    12
    A particle executes S.H.M. starting from the mean position. Its amplitude is ' aa ' and its periodic time is ' TT '. At a certain instant, its speed ' uu ' is half that of maximum speed Vmax V_{\text{max~}}. The displacement of the particle at that instant is

    Tap an option to check your answer.

  4. Question 4

    17 Apr 2026 S1

    120
    A particle executing simple harmonic motion starts from mean position with amplitude 'AA' and periodic time 'TT'. At what displacement is its speed one-fourth of the maximum speed?

    Tap an option to check your answer.