Instantaneous speed and instantaneous velocity questions with solutions

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• A/RdifficultKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  Evaluate the following Assertion (A) and Reason (R) and choose the correct option.

  Assertion

  Assertion (A): For x(t) = 4t³ - 3t, t ≥ 0, the particle initially moves in the negative x-direction, comes momentarily to rest, and then reverses its direction.

  Reason

  Reason (R): Its velocity is v = dx/dt = 12t² - 3, which changes sign from negative to positive at t = 1/2 s.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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

  The position of a particle is $\vec{r}$=(5t² î-5t ĵ) m. The magnitude and direction of its velocity at t=1/2 s are:

  Options

  • Option A

    5√2 m/s, -45° with +X-axis

  • Option B

    5 m/s, -45° with +X-axis

  • Option C

    5√2 m/s, -45° with +Y-axis

  • Option D

    5 m/s, +45° with +Y-axis

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

  The displacement and the increase in the velocity of a moving particle in the time interval t to (t+1)s are 125 m and & 50 m/s respectively. The distance travelled by the particle in $(t+2)^{th}$s is ________m.

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  JEE Main 2024 (Online) 30th January Morning Shiftkinematics previous year

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

  The distance travelled by a particle is related to time t as x = 4t². The velocity of the particle at t = 5s is :

  Options

  • Option A

    40 m s⁻¹

  • Option B

    25 m s⁻¹

  • Option C

    20 m s⁻¹

  • Option D

    8 m s⁻¹

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  JEE Mains25 January 2023Shift 2Evening Shift

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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

  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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