Motion under gravity questions with solutions

Showing 1–10 of 136 questions

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

  The ratio of the distances travelled by a freely falling body in the 1st, 2nd, 3rd and 4th second is:

  Options

  • Option A

    1 : 4 : 9 : 16

  • Option B

    1 : 3 : 5 : 7

  • Option C

    1 : 1 : 1 : 1

  • Option D

    1 : 2 : 3 : 4

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

  A body is thrown upward and reaches its maximum height. At that position:

  Options

  • Option A

    Its velocity is zero and acceleration is also zero.

  • Option B

    Its velocity is zero but acceleration is maximum.

  • Option C

    Its acceleration is minimum.

  • Option D

    Its velocity is zero and its acceleration is g downward.

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

  A stone is dropped from rest and takes 0.4 s to cross a window 8 m high. Taking g = 10 m s⁻², the distance of the upper edge of the window below the release point is:

  Options

  • Option A

    16.2 m

  • Option B

    18.0 m

  • Option C

    18.8 m

  • Option D

    20.0 m

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• Multi-correctdifficultKinematics Part-1 (one dimension)Motion under gravity

  A particle is projected vertically upward in a medium with quadratic air resistance and later returns to the same level. Which statements are correct?

  Select all that apply

  • Option A

    Time of descent is greater than time of ascent.

  • Option B

    Impact speed is smaller than projection speed.

  • Option C

    Maximum height is smaller than u²/(2g).

  • Option D

    Upward and downward motions are symmetric about the highest point.

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

  A lift moves upward at constant speed 5 m s⁻¹. A passenger throws a ball vertically upward at 15 m s⁻¹ relative to the lift. Taking g = 10 m s⁻², the maximum separation between the ball and the lift is:

  Options

  • Option A

    7.5 m

  • Option B

    10.0 m

  • Option C

    11.25 m

  • Option D

    15.0 m

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

  A stone falls from a balloon descending at a uniform rate of 12 m s⁻¹. The displacement of the stone from the point of release after 10 s is:

  Options

  • Option A

    490 m

  • Option B

    510 m

  • Option C

    610 m

  • Option D

    725 m

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

  A balloon moves vertically upward with constant speed V. Stone A is released from it. After a time τ, stone B is released from the same balloon. At time t after release of B, the separation between the two stones is:

  Options

  • Option A

    gτt

  • Option B

    gτ(t+τ/2)

  • Option C

    gτ(t+τ)

  • Option D

    gt²/2

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

  A particle is projected vertically upward with speed u in a medium with quadratic air resistance. Let V=√(g/γ) be the terminal falling speed and q=u/V. The particle returns to its point of projection. Its total time of flight and impact speed are respectively:

  Options

  • Option A

    (V/g)[tan⁻¹q+sinh⁻¹q] , u/√(1+q²)

  • Option B

    (2V/g)tan⁻¹q , u

  • Option C

    (V/g)[tan⁻¹q-sinh⁻¹q] , u√(1+q²)

  • Option D

    (V/g)sinh⁻¹q , V

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

  Particle A is projected vertically upward from the ground. Exactly 2 s later, particle B is released from rest from a height of 50 m. Taking g=10 m s⁻², find the minimum projection speed of A so that the two particles meet while A is still moving upward, in m s⁻¹.

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

  A particle is projected vertically upward from the top of a tower of height H with adjustable speed u. Consider its motion from projection until it strikes the ground. The value of u for which its average speed over the entire motion is minimum is:

  Options

  • Option A

    √(gH/2)

  • Option B

    √[gH(2√3-3)/3]

  • Option C

    √[gH(√3-1)]

  • Option D

    0

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