Question

A projectile is thrown with an initial velocity of $c\hat{i}+d\hat{j}$, if the range of projectile is double the maximum height reached by it, then

• A. d = 2c
• B. d = 3c
• C. d = c
• D. d = 4c

Answer 1

The correct option is A d = 2c

Angle of projection $\theta =ta{n}^{-1}\frac{v_y}{v_x}=ta{n}^{-1}\frac{d}{c}\therefore tan\theta =\frac{d}{c}\dots \dots \left(i\right)$
From formula $R=4Hcot\theta =2H\Rightarrow cot\theta =\frac{1}{2}\therefore tan\theta =2\dots \dots \left(ii\right)$ [As R = 2H given]