PYQ Vault
EbooksTutor

Time to reach maximum speed from the displacement equation

This type of question, asked 3 times: 20 Apr 2025 S2, 25 Apr 2025 S1, 11 Apr 2026 S2. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    20 Apr 2025 S2

    5
    A mass attached to a spring performs S.H.M. whose displacement is x=3×10−3cos⁡2πtx = 3 \times10^{- 3}\cos2\pi t metre. The time taken to obtain maximum speed for the. first time is

    Tap an option to check your answer.

  2. Question 2

    25 Apr 2025 S1

    37
    The displacement of particle in S.H.M. is x=Acos(ωt+π/6)x = Acos(\omega t +\pi/6). Its speed will be maximum at time (sin⁡90∘=1)\left( \sin90^{\circ}= 1 \right)

    Tap an option to check your answer.

  3. Question 3

    11 Apr 2026 S2

    120
    A mass attached to a spring performs S.H.M. whose displacement is x=3×10−3cos⁡2πtx = 3 \times 10^{-3}\cos 2\pi t m. The time taken to obtain maximum speed for the first time is (in s)

    Tap an option to check your answer.