Question

The equation of trajectory of a projectile is $y = \sqrt{3} x - \frac{g}{2} x^{2}$ , the angle of its projection is

Moderate

Solution

Compare the given equation with
$y = x \tan θ - \frac{g x^{2}}{2 u^{2} \cos^{2} θ}$
$\Rightarrow \tan θ = \sqrt{3} \Rightarrow θ = 60 °$

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