Kinematics Question 683

Question: The angle of projection at which the horizontal range and maximum height of projectile are equal it’s

Options:

A) $ 45^{o} $

B) $ \theta ={{\tan }^{-1}}(0.25) $

C) $ \theta ={{\tan }^{-1}}4 $ or $ (\theta =76{}^\circ ) $

D) $ 60^{o} $

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Answer:

Correct Answer: C

Solution:

[c] $ R=4H\cot \theta . $

When $ R=H $ then $ \cot \theta =1/4 $

$ \Rightarrow \theta ={{\tan }^{-1}}(4) $



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