Question

The range of a projectile fired at an angle of ${15}^{}$ is $50m.$ If it is fired with the same speed at an angle of ${45}^{},$ its range will be

• A. $25m$
• B. $37m$
• C. $50m$
• D. $100m$

Answer 1

The correct option is D $100m$

Given that,

Range $R=50m$

We know that,

For first case

$50=\frac{u^2(\sin 2\times {15}^0)}{g}$

$50=\frac{u^2}{2g}$

$\frac{u^2}{g}=\mathrm{100....}\left(I\right)$

For second case

$R=\frac{u^2(\sin 2\times {45}^0)}{g}$

$R=\frac{u^2}{g}$

$R=100m$

Hence, the range is $100m$