Acceleration and Avg acceleration questions with solutions

Showing 1–10 of 77 questions

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

  The position of a particle moving along the x-axis is:

  

  Which description is correct?

  Options

  • Option A

    Uniform, accelerated

  • Option B

    Uniform, decelerated

  • Option C

    Non-uniform, accelerated

  • Option D

    There is not enough data for generalization

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

  A particle moves along the x-axis according to x = ut e⁻ᵏᵗ, where u, k>0. After its first reversal of direction, the particle again gains speed and subsequently slows down. The maximum speed attained after this reversal and the corresponding position are:

  Options

  • Option A

    u/e, u/(ke)

  • Option B

    u/e², 2u/(ke²)

  • Option C

    2u/e², u/(ke²)

  • Option D

    u/e², u/(2ke²)

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

  A particle moves such that its displacement is s=t³-6t²+3t+4 m. Its velocity at the instant when its acceleration is zero is:

  Options

  • Option A

    3 m s⁻¹

  • Option B

    -12 m s⁻¹

  • Option C

    42 m s⁻¹

  • Option D

    -9 m s⁻¹

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

  A particle has v(0)=1 m s⁻¹ and a = 12t² - 6t. At the non-zero instant at which acceleration vanishes, its velocity is:

  Options

  • Option A

    1/2 m s⁻¹

  • Option B

    $\frac{3}{4}$ m s⁻¹

  • Option C

    1 m s⁻¹

  • Option D

    5/4 m s⁻¹

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

  The position of a particle along x-axis is x=(2t³-21t²+60t) m. Match Column-I with Column-II.

  List 1

  1. A.Velocity of particle is zero

  2. B. Acceleration of particle is zero

  3. C. Acceleration of particle is negative

  4. D. Velocity of particle is towards the origin

  5. .

  List 2

  1. p.2 s

  2. q. 3 s

  3. r. 3.5 s

  4. s. 4 s

  5. t. 5 s

  Options

  • Option A

    A-(p,r,t); B-(r); C-(p,q); D-(q,r,s)

  • Option B

    A-(p,t,r); B-(r,t); C-(q); D-(s)

  • Option C

    A-(p,r); B-(s); C-(p,r,q); D-(r,s)

  • Option D

    A-(p,t); B-(r); C-(p,q); D-(q,r,s)

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

  A particle starts from rest and obeys dv/dt = α-βv, where α,β>0. Find the displacement by the time its speed becomes half of its terminal speed.

  Options

  • Option A

    αln2/β²

  • Option B

    α(ln2-1/2)/β²

  • Option C

    α/(2β²)

  • Option D

    α(1-ln2)/β²

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

  Acceleration varies as a = A t(T-t) during 0≤t≤T. The average acceleration in this interval is:

  Options

  • Option A

    AT²/3

  • Option B

    AT²/6

  • Option C

    AT/6

  • Option D

    AT²/2

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

  The acceleration of a moving body at any ‘t’ is given by $\vec{a}$ = (4t)î + (3t²)ĵ m/sec². If $\vec{u}$ = 0 then find the velocity (in m/s) of the particle at 4 sec.

  Select all that apply

  • Option A

    16î - 32ĵ

  • Option B

    32î + 64ĵ

  • Option C

    4î + 4ĵ

  • Option D

    16î + 32ĵ

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

  A particle starts from rest at x=0 and has acceleration a=a₀cosωt. At t=π/ω, its velocity and displacement are respectively:

  Options

  • Option A

    0, 2a₀/ω²

  • Option B

    2a₀/ω, 0

  • Option C

    0, a₀/ω²

  • Option D

    a₀/ω, 2a₀/ω²

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

  Position is x = At³ + Bt² + Ct + D. The average acceleration between t=t₁ and t=t₂ is:

  Options

  • Option A

    3A(t₁+t₂)+2B

  • Option B

    3A(t₂-t₁)+2B

  • Option C

    A(t₁²+t₂²)+B

  • Option D

    6A(t₁+t₂)+2B

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