Question

In case of a projectile fired at angle equally inclined to the horizontal and vertical with velocity ${}^{\prime }{u}^{\prime }$, the horizontal range is given by

• A. $\frac{4u^2}{g}$
• B. $\frac{2u^2}{g}$
• C. $\frac{u^2}{2g}$
• D. $\frac{u^2}{g}$

Answer 1

The correct option is D $\frac{u^2}{g}$

Given,

$\theta ={45}^0$

In projectile motion, Horizontal range is given by

$R=\frac{u^{2}sin2\theta }{g}$

$R=\frac{u^{2}sin(2\times {45}^0)}{g}=\frac{u^{2}sin{90}^0}{g}$

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

The correct option is D.