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NTA Abhyas JEE Main2020PhysicsMotion in Two DimensionsPractice

A ball is projected with a speed of 2 m s – 1 with respect to a trolley which is moving with 4 m s – 1 , as shown in the figure. The angle at which ball is projected with respect to the horizontal in ground frame is

Options

  1. Atan - 1 ⁡ 3 28
  2. Btan - 1 ⁡ 5 3
  3. Csin - 1 ⁡ 3 28
  4. Dsin - 1 ⁡ 5 28

Correct answer

C. sin - 1 ⁡ 3 28

Step-by-step solution

v → b = v → b T + v → T tan ⁡ ϕ = 2 sin ⁡ 60 o 4 + 2 cos ⁡ 60 o = 3 5 sin ⁡ ϕ = 3 28 ϕ = sin - 1 ⁡ 3 28

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