An aeroplane is moving with horizontal velocity $u$ at height $h$. The velocity of a packet dropped from it on the earth's surface will be ($g$ is acceleration due to gravity)
- A$\sqrt {{u^2} + 2gh} $
- B$\sqrt {2gh} $
- C$2gh$
- D$\sqrt {{u^2} - 2gh} $
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($1$) The value of $t$ is. . . . . .
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Give the answer or qution ($1$) and ($2$)
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 $g =10 m / s ^2$.
($1$) The value of $t$ is. . . . . .
($2$) The value of $x$ is. . . . .
Give the answer or qution ($1$) and ($2$)
- [IIT 2021]