Question

A projectile is fired from the surface of the earth with a velocity of \(v_0\) at an angle \(\theta\) with the horizontal. If the maximum height reached is equal to its horizontal range, then the angle of projection \(\theta\) is given by:

• A. \(\tan^{-1}(1)\)
• B. \(\tan^{-1}(2)\)
• C. \(\tan^{-1}(4)\)
• D. \(\tan^{-1}(0.5)\)

Hint:

Memorize the relation \(\tan\theta = \frac{4H}{R}\) for quick objective problems. If \(H = R\), then \(\tan\theta\) is always equal to \(4\).

Answer 1

The Correct Option is C