Acceleration and Avg acceleration questions with solutions

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• MCQmediumKinematics Part-1 (one dimension)Acceleration and Avg acceleration

  A particle moves in a steady velocity field described by v = -xî+2yĵ-zk̂, where x, y and z are the instantaneous coordinates of the particle. What is the magnitude of the particle's acceleration at the point (1, 2, 4)?

  Options

  • Option A

    √6 m·s⁻²

  • Option B

    9 m·s⁻²

  • Option C

    √33 m·s⁻²

  • Option D

    0

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  JEE Mains 2026 2 April Morning Shift

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• MCQmediumKinematics Part-1 (one dimension)Acceleration and Avg acceleration

  A particle starts moving from time t=0 and its coordinate is given as x(t)=$4t^3-3t$

  A. The particle returns to its original position (origin) 0.866 units later

  B. The particle is 1 unit away from origin at its turning point

  C. Acceleration of the particle is non-negative

  D. The particle is 0.5 units away from origin at its turning point

  E. Particle never turns back as acceleration is non-negative

  Choose the correct answer from the options given below :

  Options

  • Option A

    A.C,D only

  • Option B

    A,B,C only

  • Option C

    C,E only

  • Option D

    A,C only

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  JEE Main 2026 (Online) 28th January Evening Shiftkinematics previous year

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• MCQmediumKinematics Part-1 (one dimension)Acceleration and Avg acceleration

  The relation between time t and distance x is t = αx² + βx, where α and β are constants. The relation between acceleration a and velocity v is:

  Options

  • Option A

    a = -2αv³

  • Option B

    a = -5αv⁵

  • Option C

    a = -3αv²

  • Option D

    a = -4αv⁴

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  JEE Mains 2024 31 Jan Morning Shift

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• A/RdifficultKinematics Part-1 (one dimension)Acceleration and Avg acceleration

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

  Assertion

  Assertion (A): A particle moves along +x with v = v₀ - kx (k > 0 and v > 0). Its acceleration increases linearly with x.

  Reason

  Reason (R): Since a = v(dv/dx), we get a = (v₀ - kx)(-k) = k²x - kv₀, which is a linear function of x with positive slope k².

  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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• MCQmediumKinematics Part-1 (one dimension)Acceleration and Avg acceleration

  A particle moves along the x-axis and has its displacement x varying with time t according to the equation:

  $x=c_0\left(t^2-2\right)+c\left(t-2\right)^2$

  where and $c_0$ are constants of appropriate dimensions.

  Then, which of the following statements is correct?

  Options

  • Option A

    the acceleration of the particle is 2(c+$c_0$)
    

  • Option B

    the acceleration of the particle is 2$c_0$

  • Option C

    the acceleration of the particle is 2c

  • Option D

    the initial velocity of the particle is 4c

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  JEE Main 2025 (Online) 3rd April Evening Shiftkinematics previous year

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• MCQeasyKinematics Part-1 (one dimension)Acceleration and Avg acceleration

  A particle moves along the x-axis and its displacement varies with time as x = c₀(t²-2) + c(t-2)², where c₀ and c are constants of appropriate dimensions. Which statement is correct?

  Options

  • Option A

    The initial velocity of the particle is 4c

  • Option B

    The acceleration of the particle is 2(c+c₀)

  • Option C

    The acceleration of the particle is 2c

  • Option D

    The acceleration of the particle is 2c₀

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  JEE Mains 2025 3 April Evening Shift

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• A/RmediumKinematics Part-1 (one dimension)Acceleration and Avg acceleration

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

  Assertion

  Assertion (A): If the acceleration of a particle is zero at an instant, its velocity must also be zero at that instant.

  Reason

  Reason (R): Acceleration is the instantaneous rate of change of velocity, a = dv/dt.

  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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• MCQmediumKinematics Part-1 (one dimension)Acceleration and Avg acceleration

  A body starts moving from rest with constant acceleration covers displacement S₁ in first (p - 1) seconds and S₂ in first p seconds. The displacement S₁ + S₂ will be made in time :

  Options

  • Option A

    (2p + 1) s

  • Option B

    √(2p² - 2p + 1) s

  • Option C

    (2p - 1) s

  • Option D

    (2p² - 2p + 1) s

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  JEE Mains 2024 29 Jan Morning Shift

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• MCQeasyKinematics Part-1 (one dimension)Acceleration and Avg acceleration

  A particle is moving in a straight line. The variation of position ‘x’ as a function of time ‘t’ is given as x = (t³ – 6t² + 20t + 15) m. The velocity of the body when its acceleration becomes zero is :

  Options

  • Option A

    4 m/s

  • Option B

    8 m/s

  • Option C

    10 m/s

  • Option D

    6 m/s

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  JEE Mains 2024 29 Jan Evening Shift

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• NumericmediumKinematics Part-1 (one dimension)Acceleration and Avg acceleration

  A particle initially at rest starts moving from reference point x = 0 along x-axis, with velocity v that varies as v = 4√x m/s. The acceleration of the particle is ____ m s⁻².

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  JEE Mains 2024 01 Feb Evening Shift

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