Question

Two projectiles are projected at \( 30^\circ \) and \( 60^\circ \) with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:

• A. \( 2 : \sqrt{3} \)
• B. \( \sqrt{3} : 1 \)
• C. \( 1 : 3 \)
• D. \( 1 : \sqrt{3} \)

Hint:

To determine the ratio of maximum heights of projectiles, focus on the square of the sine of the angle of projection, \( \sin^2 \theta \), as height depends directly on it.