Question

Two bullets are fired at angle $\theta$ and $(90-\theta$) to the horizontal with the same speed, $v$. The ratio of their radii at the highest points is

• A. ${\cos }^2\theta :1$
• B. ${\tan }^2\theta :1$
• C. $1:1$
• D. ${\cot }^2\theta :1$

Answer 1

The correct option is D ${\cot }^2\theta :1$

$\frac{r_1}{r_2}=\frac{v_1^2/g}{v_2^2/g}=\frac{v^2{\cos }^2\theta }{v^2{\sin }^2\theta }={\cot }^2\theta$