Question

A body is projected horizontally from the top of a tower.When the body strikes the ground its velocity is V and the direction of motion makes { 30 }^{ 0 } with the horizontal.The velocity of projection is:

• A. $\frac{\sqrt{3v}}{2}$
• B. $\frac{v}{\sqrt{3}}$
• C. $\frac{v}{2}$
• D. $\frac{2v}{\sqrt{3}}$

Answer 1

The correct option is A $\frac{\sqrt{3v}}{2}$

The velocity of projection is equal to the horizontal velocity of body which is equal to $v\cos {30}^0=\frac{\sqrt{3}v}{2}$

Therefore, A is correct option.