Question

A projectile is thrown from a point $O$ on the ground at an angle $45^{\circ}$ from the vertical and with a speed $5 \sqrt{2} \,m / s$. The projectile at the highest point of its trajectory splits into two equal parts. One part falls vertically down to the ground, $05\, s$ after the splitting. The other part, $t$ seconds after the splitting, falls to the ground at a distance $x$ meters from the point $O$. The acceleration due to gravity $g =10 \,m / s ^{2}$.
The value of $x$ is ______

Answer 1

$X = \frac{3R}{2}$ as Xcm = R

$R = \frac{{u_2 \sin(2\theta)}}{g}$

$= \frac{50}{10} = 5$

$⇒X = \frac{3R}{2} = \frac{15}{2} = 7.5 m$
Answer: 7.50