Question

A gun fires two bullets at ${60}^o$ and ${30}^o$ with the horizontal the bullets strike at same horizontal distance. The maximum heights for the two bullets are in the ratio

• A. $2:1$
• B. $3:1$
• C. $4:1$
• D. $1:1$

Answer 1

The correct option is B $3:1$

Maximum height $H=u^{2}Si{n}^2\theta /2g$

as they at same horizontal distance and their angle of projection are complementary angle so they should have same velocity.(Off course , they have been fired from same gun.)

So ratio of maximum height $Si{n}^2{60}^0/Si{n}^2{30}^0=3/1$

Option B is correct.