A bullet is fired from a gun at the speed of 280 m s⁻¹ in the direction 30° above the horizontal. The maximum height attained by the bullet is (g = 9.8 m s^−2, sin 30° = 0.5) :

1000 m

$\text{Maximum Height is given by } H = \frac{u^2 sin^2\theta }{2g} = \frac{u^2 sin^2 30^o }{2g} = \frac{u^2}{8g} = \frac{280^2}{8\times 9.8}= 1000m$