1. Tardigrade
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  3. Physics
  4. A projectile is thrown from a point O on the ground at an angle 45° from the vertical and with a speed 5 √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, 0.5 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 t is .

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Q. 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, $0.5\, s$ 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 $t$ is ____.

JEE AdvancedJEE Advanced 2021

Solution:

After splitting $1^{\text {st }}$ mass takes $0.5 \,sec$ 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 $0.5\, sec$ to reach ground.