Kinematics Question 692

Question: A stone is projected from the ground with velocity $ 25m/s $ . Two seconds later, it just clears a wall 5 m high. The angle of projection of the stone is $ (g=10m/{{\sec }^{2}}) $

Options:

A) $ 30^{o} $

B) $ 45^{o} $

C) $ {{50.2}^{o}} $

D) $ 60^{o} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] For vertical upward motion $ h=ut-\frac{1}{2}gt^{2} $

$ 5=(25\sin \theta )\times 2-\frac{1}{2}\times 10\times {{(2)}^{2}} $

$ \Rightarrow 25=50\sin \theta \Rightarrow \sin \theta =\frac{1}{2}\Rightarrow \theta =30{}^\circ $



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