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NTA Abhyas JEE Main2020PhysicsMotion in Two DimensionsPractice

A stone is projected from the ground with velocity 50 m s - 1 at an angle 30 ° with horizontal. It crosses a wall after 3 s . How far beyond the wall the stone will strike the ground? g = 10 m s - 2

Options

  1. A90.2 m
  2. B12.5 m
  3. C86.5 m
  4. D216.25 m

Correct answer

C. 86.5 m

Step-by-step solution

Time, T = 2 u sin ⁡ θ g T = 2 × 50 × sin ⁡ 30 o 10 = 2 × 50 × 1 2 10 = 5 s Time spent after crossing the wall, t 2 = 5 - 3 = 2 s ∴ Distance, x 2 = u cos ⁡ θ × t 2 = 50 × cos ⁡ 30 o × 2 = 50 × 3 2 × 2 = 50 3 = 50 × 1.73 = 86.5 m

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