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Velocity of a projectile at a given time or direction of motion

This type of question, asked 4 times: 14 Jun 2022, 27 Jun 2022, 11 Apr 2023, 22 Jan 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    111
    A body is projected from the ground at an angle of 45∘45^{\circ} with the horizontal. Its velocity after 2 s2\text{ }s is 20 ms−120{\text{ }ms}^{- 1}. The maximum height reached by the body during its motion is ____\_\_\_\_ m. (use g=10 ms−2g= 10{\text{ }ms}^{- 2} )

  2. Question 2

    27 Jun 2022

    1
    A projectile is launched at an angle ' α\alpha ' with the horizontal with a velocity 20 ms−120{\text{ }ms}^{- 1}. After 10 s10\text{ }s, its inclination with horizontal is ' β\beta '. The value of tan⁡β\tan\beta will be : (g=10 ms−2)\left( g = 10{\text{ }ms}^{- 2} \right)

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  3. Question 3

    11 Apr 2023

    99
    A projectile is projected at 30∘30^{\circ} from horizontal with initial velocity 40 ms−140{\text{ }ms}^{- 1}. The velocity of the projectile at t=2 st = 2\text{ }s from the start will be: (Given g=10 m/s2g = 10\text{ }m/s^{2} )

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  4. Question 4

    22 Jan 2026 S1

    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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