question_answer

 A body is thrown horizontally with a velocity \[\sqrt{2gh}\] from the top of a tower of height h. It strikes the level ground through the foot of the tower at a distance x from the tower. The value of x is

A) \[h\]                 

B)        \[h/2\]

C) \[~2h~\]          

D)        \[2h/3\]

Correct Answer: C

Solution :

[c] Using equation to trajectory \[-\,h=x\,\,\tan \,(0{}^\circ )-\frac{g{{x}^{2}}}{2\,(2gh)\,({{\cos }^{2}}0{}^\circ )}\] \[\Rightarrow x=2h\]