# Two stones are projected from the same point with same speed making angles 45°+x and 45°-x with the horizontal respectively. If x≤45° then the horizontal ratio of the two stones are in the ratio of?

Mar 14, 2018

$1 : 1$

#### Explanation:

Formula of range for projectile motion is given as, $R = \frac{{u}^{2} \sin 2 \theta}{g}$ where, $u$ is the velocity of projection and $\theta$ is the angle of projection.

For,$u$ be the same for both the stones,their ratio of range becomes,

$\sin 2 \left(45 + x\right) : \sin 2 \left(45 - x\right)$

$= \sin \left(90 + 2 x\right) : \sin \left(90 - 2 x\right)$

$= \cos 2 x : \cos 2 x$

$= 1 : 1$