Question

The maximum range of a rifle bullet on the horizontal ground is $6$ km. Find its maximum range on an inclined of ${30}^o$.

• A. 5
  
• B. 6
• C. 4
• D. 7

Answer 1

The correct option is C 4

Maximum range on horizontal plane,$R=\frac{u^2}{g}=6km$(given)

Maximum range on a inclined plane, $R_{max}=\frac{u^2}{g(1+\sin \alpha )}$

Putting $\alpha ={30}^o$

$R_{m}ax=\frac{u^2}{g(1+\sin {30}^o}=\frac{2}{3}\left(\frac{u^2}{g}\right)=\frac{2}{3}\times 6=4km$