Kinematics Part-1 (one dimension) questions with solutions

Showing 1–10 of 487 questions

• MCQmediumKinematics Part-1 (one dimension)Motion under gravity

  From the ground, particle A is projected vertically upward with 30 m s⁻¹. Simultaneously, particle B is projected vertically downward with 20 m s⁻¹ from a point 100 m above the ground. Taking g=10 m s⁻², they collide at a height:

  Options

  • Option A

    20 m

  • Option B

    30 m

  • Option C

    40 m

  • Option D

    50 m

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

  A particle is moving in one dimension (along x axis) under the action of a variable force. It's initial position was 16 m right of origin. The variation of its position (x) with time (t) is given as $x = -3t^{3} + 18t^{2}+16t$ , where is x in m and t is in s. The velocity of the particle when its acceleration becomes zero is _______ m/s.

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  JEE Main 2024 (Online) 1st February Morning Shiftkinematics question

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

  A particle is moving in one dimension along the x-axis under the action of a variable force. Its position varies with time as x = -3t³ + 18t² + 16t, where x is in m and t is in s. The velocity of the particle when its acceleration becomes zero is ______ m s⁻¹.

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  JEE Mains 2024 01 Feb Morning Shift

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• A/ReasyKinematics Part-1 (one dimension)Motion under constant acceleration

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

  Assertion

  Assertion (A): A ball projected vertically upward with speed u returns to the point of projection with the same speed u, neglecting air resistance.

  Reason

  Reason (R): Using v² = u² + 2aΔy, when the ball returns to the original level, Δy = 0, so v² = u².

  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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• NumericeasyKinematics Part-1 (one dimension)Motion under gravity

  A body falling under gravity covers two points A and B separated by 80 m in 2s. The distance of upper point A from the starting point is ________ m (use g = 10 ms⁻²)

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  JEE Mains 2024 27 Jan Evening Shift

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

  A particle starts from rest at x=0 and moves under acceleration a = a₀(1-2x/L), where a₀, L>0. The maximum speed attained by the particle and the time taken to attain this speed are:

  Options

  • Option A

    √(a₀L), (π/2)√(L/a₀)

  • Option B

    √(a₀L/2), (π/4)√(2L/a₀)

  • Option C

    √(2a₀L), (π/4)√(L/a₀)

  • Option D

    √(a₀L/2), √(L/2a₀)

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• MCQmediumKinematics Part-1 (one dimension)Distance,Displacement ,Avg speed and Avg velocity

  A particle travels from point A to point B along a straight line. It covers the first half of the total distance with constant speed v and the remaining half with constant speed 2v. Its average speed for the complete journey is:

  Options

  • Option A

    3v/2

  • Option B

    4v/3

  • Option C

    sqrt(2)v

  • Option D

    2v/3

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• Multi-correctmediumKinematics Part-1 (one dimension)Distance,Displacement ,Avg speed and Avg velocity

  A differentiable position function satisfies x(t₁)=x(t₂), with t₂>t₁, and the particle is not at rest throughout the interval. Which statements are correct?

  Select all that apply

  • Option A

    Average velocity is zero.

  • Option B

    Total distance is non-zero.

  • Option C

    Average speed is positive.

  • Option D

    At least at one instant between t₁ and t₂, instantaneous velocity is zero.

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• MCQmediumKinematics Part-1 (one dimension)Ghraphical problem of kinematics

  Give below are two statements

  Statement I: Area under velocity- time graph gives the distance travelled by the body in a given time.

  Statement II: Area under acceleration- time graph is equal to the change in velocity- in the given time.

  In the light of given statement, choose the correct answer from the options given below.

  Options

  • Option A

    Both Statement I and Statement II are true.

  • Option B

    Statement I is correct but Statement II is false.

  • Option C

    Both Statement I and and Statement II are false.

  • Option D

    Statement I is incorrect but Statement II is true.

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• MCQdifficultKinematics Part-1 (one dimension)Motion under constant acceleration

  Particle A starts from rest with acceleration 4 m s⁻². Three seconds later, particle B starts from the same point in the same direction with constant speed 24 m s⁻¹. After B starts, the first meeting occurs after:

  Options

  • Option A

    3 s

  • Option B

    6 s

  • Option C

    9 s

  • Option D

    12 s

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