Instantaneous speed and instantaneous velocity questions with solutions

Showing 1–10 of 45 questions

• Multi-correctmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle moves as x = t³. At t=0, which statements are correct?

  Select all that apply

  • Option A

    Instantaneous velocity is zero.

  • Option B

    Instantaneous speed is zero.

  • Option C

    Particle does not reverse its direction.

  • Option D

    Velocity must change sign across t=0.

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• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  Position is x = t³ - 3t. For 0 ≤ t ≤ √3 s, the average speed is:

  Options

  • Option A

    2/√3 m s⁻¹

  • Option B

    4/√3 m s⁻¹

  • Option C

    2√3 m s⁻¹

  • Option D

    4√3 m s⁻¹

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• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  The position of a particle is x = (5t² - 4t + 5) m. The magnitude of its velocity at t = 2 s is:

  Options

  • Option A

    10 m s⁻¹

  • Option B

    6 m s⁻¹

  • Option C

    16 m s⁻¹

  • Option D

    14 m s⁻¹

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  15 April 2023 Morning Shift

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• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle performs motion x = A cosωt. Its instantaneous speed when its position is x is:

  Options

  • Option A

    ω(A-x)

  • Option B

    ω√(A²-x²)

  • Option C

    ω(A²-x²)

  • Option D

    Aωx

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• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle is moving with constant speed in a circular path. When the particle turns by an angle $90^{o}$, the ratio of instantaneous velocity to its average velocity is π: x $\sqrt2$. The value of x will be -

  Options

  • Option A

    7

  • Option B

    2

  • Option C

    1

  • Option D

    5

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• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle has x = (t²-1)² metre for 0 ≤ t ≤ 2 s. Its average speed and average velocity are respectively:

  Options

  • Option A

    4 m s⁻¹, 5 m s⁻¹

  • Option B

    5 m s⁻¹, 4 m s⁻¹

  • Option C

    5 m s⁻¹, 5 m s⁻¹

  • Option D

    4 m s⁻¹, 4 m s⁻¹

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• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle moves as x = Ae⁻ᵏᵗ, where A, k>0. During 0 ≤ t ≤ T, its average speed is:

  Options

  • Option A

    A(1-e⁻ᵏᵀ)/T

  • Option B

    Ae⁻ᵏᵀ/T

  • Option C

    AkT

  • Option D

    A(1+e⁻ᵏᵀ)/T

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• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle moves as x = t⁴ - 4t² metre. The total distance travelled from t=0 to t=3 s is:

  Options

  • Option A

    45 m

  • Option B

    49 m

  • Option C

    53 m

  • Option D

    57 m

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• MCQeasyKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  The distance travelled by an object in time t is given by s = 2.5t². The instantaneous speed at t = 5 s is:

  Options

  • Option A

    25 m s⁻¹

  • Option B

    12.5 m s⁻¹

  • Option C

    5 m s⁻¹

  • Option D

    62.5 m s⁻¹

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  13 April 2023 Evening Shift

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• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle has x = at³ - bt, a, b>0. From t=0 to t=√(b/a), its average speed is:

  Options

  • Option A

    2b/(3√3)

  • Option B

    4b/(3√3)

  • Option C

    2b/√3

  • Option D

    4b/3

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