Question

From certain height 'h' two bodies are projected horizontally each with velocity v. One body is projected towards North and the other body is projected towards east. Their seperation on reaching the ground

• A. $\sqrt{\frac{2v^{2}h}{g}}$
• B. $\sqrt{\frac{4v^{2}h}{g}}$
• C. $\sqrt{\frac{v^{2}h}{g}}$
• D. $\sqrt{\frac{8v^{2}h}{g}}$

Answer 1

The correct option is B $\sqrt{\frac{4v^{2}h}{g}}$

Range, R (for each) $=vt=v\sqrt{\frac{2h}{g}}$

$s=$ separation $=R\sqrt{2}$

$s=v\sqrt{\frac{2h}{g}}\times \sqrt{2}=\sqrt{\frac{4h{v}^2}{g}}$