Kinematics Question 646

Question: A boy it’s standing on a cart moving along x-axis with the speed of 10 m/s. When the cart reaches the origin he throws a stone in the horizontal x-y plane with the speed of 5 m/s with respect to himself at an angle $ \theta $ with the x-axis. It’s found that the stone his a ball lying at rest at a point whose co-ordinates are$ ( \sqrt{3}m,1m ) $ . The value of $ \theta $ it’s (gravitational effect it’s to be ignored)

Options:

A) $ 30{}^\circ $

B)$ 60{}^\circ $

C) $ 90{}^\circ $

D)$ 120{}^\circ $

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Answer:

Correct Answer: A

Solution:

[a] $ \tan \theta =\frac{\sqrt{3}}{1}=\sqrt{3}\Rightarrow \theta =30{}^\circ $



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