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, $0.5s$ 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 $g=10m/s^2$.
The value of $t$ is ____.

Answer 1

Answer: 0.50

After splitting $1^{\text{st }}$ mass takes $0.5sec$ to reach ground.
Initial velocity is same for both mass at the highest point in vertical direction. Displacement and acceleration in vertical direction is also same
So, $2^{\text{nd }}$ mass will also take $0.5sec$ to reach ground.