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.
Question 1
9 May 2023 S1
43A 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 isTap an option to check your answer.
Question 2
15 May 2023 S2
4For a particle executing S.H.M. having amplitude , the speed of the particle is rd of its maximum speed when the displacement from the mean position isTap an option to check your answer.
Question 3
22 Apr 2025 S2
12A particle executes S.H.M. starting from the mean position. Its amplitude is ' ' and its periodic time is ' '. At a certain instant, its speed ' ' is half that of maximum speed . The displacement of the particle at that instant isTap an option to check your answer.
Question 4
17 Apr 2026 S1
120A particle executing simple harmonic motion starts from mean position with amplitude '' and periodic time ''. At what displacement is its speed one-fourth of the maximum speed?Tap an option to check your answer.