Question

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

• A. 3000 m
• B. 2800 m
• C. 2000 m
• D. 1000 m

Answer 1

Answer: (D)

1000 m

Answer 2

Given:
$u = 280\ ms^{-1}$
$\theta = 30\degree$
$g-9.8 \ ms^{-2}$

The maximum height attained by the bullet,
$H_{max}=\frac{u^2sin^2\theta}{2g}$

$H_{max}=\frac{(280)^2\times(sin30^{\circ})^2}{2(9.8)}$

$H_{max}=1000\,m$

So, the correct option is (D): $1000\ m$