Physics Two Dimensional Motion Question 122

Question: A body is projected from the ground with a velocity at an angle of $ 30{}^\circ $ . It crosses a wall after 3 sec. How far beyond the wall the stone will strike the ground?

[Take $ \text{g =10 m/}{{\text{s}}^{\text{2}}} $ ]

Options:

A) 50$ \sqrt{2} $ B)70$ \sqrt{2} $ C) 15$ \sqrt{3} $ D)16$ \sqrt{2} $

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Answer:

Correct Answer: A

Solution:

[a] Required distance from the wall $ =\frac{{{\text{u}}^{\text{2}}}\sin 2\theta }{\text{g}}-\text{u cos}\theta \times \text{t=50}\sqrt{3},\text{m} $