Question

A particle projected with a velocity at an angle of \(30^\circ\) to the horizontal, travels a horizontal range R. If it is projected with the same velocity at \(60^\circ\) to the horizontal, its horizontal range will be

• A. \(\frac{R}{2}\)
• B. \(\frac{R}{4}\)
• C. 2R
• D. 3R
• E. The horizontal range remains R

Hint:

Range is the same for complementary angles (\(\theta_1 + \theta_2 = 90^\circ\)) when projected with the same velocity. Since \(30^\circ + 60^\circ = 90^\circ\), the range must be identical.

Answer 1

Answer: (E)