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Motion in a Plane

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 7 times: 2021 Paper 24, 25 Jun 2022, 25 Jan 2023, 31 Jan 2023, 29 Jan 2025, 7 Apr 2025, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 7 of this type

    6
    Two identical bodies projected with the same speed at two different angles cover the same horizontal range R . If the time of flight of these bodies are 5 s and 10 s , respectively, then the value of RR is ____\_\_\_\_ m. (Take g=10 m/s2g = 10\text{ }m/s^{2} )

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  2. Question 2

    This type asked 5 times: 25 Jul 2022, 31 Jan 2023, 6 Apr 2023, 4 Apr 2024, 2 Apr 2025. This one: 2 Apr 2025 See all 5 of this type

    90
    A sportsman runs around a circular track of radius rr such that he traverses the path ABABABAB. The distance travelled and displacement, respectively, are

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  3. Question 3

    This type asked 5 times: 2021 Paper 15, 25 Jun 2022, 29 Jun 2022, 31 Jan 2024, 9 Apr 2024. This one: 9 Apr 2024 See all 5 of this type

    21
    If a→\overrightarrow{a} and b→\overrightarrow{b} makes an angle cos⁡−1(59)\cos^{- 1}\left( \frac{5}{9} \right) with each other, then ∣a→+b→∣=2∣a→−b→∣|\overrightarrow{a}+\overrightarrow{b}| =\sqrt{2}|\overrightarrow{a}-\overrightarrow{b}| for ∣a→∣=n∣b→∣|\overrightarrow{a}| = n|\overrightarrow{b}| The integer value of nn is______.

  4. Question 4

    This type asked 4 times: 2021 Paper 6, 27 Jan 2024, 24 Jan 2025, 4 Apr 2026 S2. This one: 4 Apr 2026 S2 See all 4 of this type

    4
    If x and y coordinates of a projectile as a function of time (t)(t) are given as 24t24t and 43.6t−4.9t243.6t - 4.9t^{2}, respectively, then the angle (in degrees) made by the projectile with horizontal when t=2 st = 2\text{ }s is ____\_\_\_\_ .

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  5. Question 5

    This type asked 4 times: 26 Jul 2022, 8 Apr 2023, 10 Apr 2023, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 4 of this type

    6
    The two projectiles are projected with the same initial velocities at the 15∘15^{\circ} and 30∘30^{\circ} with respect to the horizontal. The ratio of their ranges is 1:x1:x. The value of xx is

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  6. Question 6

    This type asked 4 times: 2021 Paper 14, 27 Jun 2022, 29 Jan 2025, 24 Jan 2026 S2. This one: 24 Jan 2026 S2 See all 4 of this type

    5
    In case of vertical circular motion of a particle by a thread of length r if the tension in the thread is zero at an angle 30∘30^{\circ} shown in figure, the velocity at the bottom point (A) of the circular path is (g = gravitational acceleration)

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  7. Question 7

    This type asked 4 times: 14 Jun 2022, 27 Jun 2022, 11 Apr 2023, 22 Jan 2026 S1. This one: 22 Jan 2026 S1 See all 4 of this type

    7
    A projectile is thrown upward at an angle 60∘60^{\circ} with the horizontal. The speed of the projectile is 20 m/s20\text{ }m/s when its direction of motion is 45∘45^{\circ} with the horizontal. The initial speed of the projectile is ____\_\_\_\_ m/sm/s.

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  8. Question 8

    This type asked 4 times: 2021 Paper 22, 1 Feb 2023, 8 Apr 2024, 7 Apr 2025. This one: 7 Apr 2025 See all 4 of this type

    93
    A helicopter flying horizontally with a speed of 360 km/h360\text{ }km/h at an altitude of 2 km , drops an object at an instant. The object hits the ground at a point O , 20 s after it is dropped. Displacement of 'O' from the position of helicopter where the object was released is :(use acceleration due to gravity g=10 m/s2g= 10\text{ }m/s^{2} and neglect air resistance)

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  9. Question 9

    This type asked 4 times: 25 Jun 2022, 29 Jan 2023, 5 Apr 2024, 4 Apr 2025. This one: 4 Apr 2025 See all 4 of this type

    11
    If L→\overrightarrow{L} and P→\overrightarrow{P} represent the angular momentum and linear momentum respectively of a particle of mass ' m ' having position vector r→=a(i^cos⁡ωt+j^sin⁡ωt)\overrightarrow{r}= a(\widehat{i}\cos\omega t +\widehat{j}\sin\omega t). The direction of force is.

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  10. Question 10

    This type asked 4 times: 29 Jul 2022, 29 Jan 2023, 31 Jan 2023, 23 Jan 2025. This one: 23 Jan 2025 See all 4 of this type

    76
    A ball having kinetic energy KE , is projected at an angle of 60∘60^{\circ} from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?

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