Two particles are projected from a tower in opposite directions horizontally with speed $10\,m / s$ each. At $t=1\,s$ match the following two columns.
Column $I$
Column $II$
$(A)$ Relative acceleration between two
$(p)$ $0$ SI unit
$(B)$ Relative velocity between two
$(q)$ $5$ SI unit
$(C)$ Horizontal distance between two
$(r)$ $10$ SI unit
$(D)$ Vertical distance between two
$(s)$ $20$ SI unit
Two particles are projected from a tower in opposite directions horizontally with speed $10\,m / s$ each. At $t=1\,s$ match the following two columns.
| Column $I$ | Column $II$ |
| $(A)$ Relative acceleration between two | $(p)$ $0$ SI unit |
| $(B)$ Relative velocity between two | $(q)$ $5$ SI unit |
| $(C)$ Horizontal distance between two | $(r)$ $10$ SI unit |
| $(D)$ Vertical distance between two | $(s)$ $20$ SI unit |
- A
$( A \rightarrow p , B \rightarrow s , C \rightarrow s , D \rightarrow p )$
- B
$( A \rightarrow p , B \rightarrow s , C \rightarrow q , D \rightarrow p )$
- C
$( A \rightarrow p , B \rightarrow r , C \rightarrow s , D \rightarrow p )$
- D
$( A \rightarrow p , B \rightarrow s , C \rightarrow r , D \rightarrow p )$
Similar Questions
A fighter jet is flying horizontally at a certain altitude with a speed of $200 \; ms ^{-1}$. When it passes directly overhead an anti-aircraft gun, bullet is fired from the gun, at an angle $\theta$ with the horizontal, to hit the jet. If the bullet speed is $400 \; m / s$, the value of $\theta$ will be $\dots \; {}^o$
A fighter jet is flying horizontally at a certain altitude with a speed of $200 \; ms ^{-1}$. When it passes directly overhead an anti-aircraft gun, bullet is fired from the gun, at an angle $\theta$ with the horizontal, to hit the jet. If the bullet speed is $400 \; m / s$, the value of $\theta$ will be $\dots \; {}^o$
- [JEE MAIN 2022]
A child stands on the edge of the cliff $10\,m$ above the ground and throws a stone horizontally with an initial speed of $5\,ms ^{-1}$. Neglecting the air resistance, the speed with which the stone hits the ground will be $..........ms ^{-1}$ (given, $g =10\,ms ^{-2}$)
A child stands on the edge of the cliff $10\,m$ above the ground and throws a stone horizontally with an initial speed of $5\,ms ^{-1}$. Neglecting the air resistance, the speed with which the stone hits the ground will be $..........ms ^{-1}$ (given, $g =10\,ms ^{-2}$)
- [JEE MAIN 2023]
A slide with a frictionless curved surface, which becomes horizontal at its lower end,, is fixed on the terrace of a building of height $3 h$ from the ground, as shown in the figure. A spherical ball of mass $\mathrm{m}$ is released on the slide from rest at a height $h$ from the top of the terrace. The ball leaves the slide with a velocity $\vec{u}_0=u_0 \hat{x}$ and falls on the ground at a distance $d$ from the building making an angle $\theta$ with the horizontal. It bounces off with a velocity $\overrightarrow{\mathrm{v}}$ and reaches a maximum height $h_l$. The acceleration due to gravity is $g$ and the coefficient of restitution of the ground is $1 / \sqrt{3}$. Which of the following statement($s$) is(are) correct?
($AV$) $\vec{u}_0=\sqrt{2 g h} \hat{x}$ ($B$) $\vec{v}=\sqrt{2 g h}(\hat{x}-\hat{z})$ ($C$) $\theta=60^{\circ}$ ($D$) $d / h_1=2 \sqrt{3}$
A slide with a frictionless curved surface, which becomes horizontal at its lower end,, is fixed on the terrace of a building of height $3 h$ from the ground, as shown in the figure. A spherical ball of mass $\mathrm{m}$ is released on the slide from rest at a height $h$ from the top of the terrace. The ball leaves the slide with a velocity $\vec{u}_0=u_0 \hat{x}$ and falls on the ground at a distance $d$ from the building making an angle $\theta$ with the horizontal. It bounces off with a velocity $\overrightarrow{\mathrm{v}}$ and reaches a maximum height $h_l$. The acceleration due to gravity is $g$ and the coefficient of restitution of the ground is $1 / \sqrt{3}$. Which of the following statement($s$) is(are) correct?
($AV$) $\vec{u}_0=\sqrt{2 g h} \hat{x}$ ($B$) $\vec{v}=\sqrt{2 g h}(\hat{x}-\hat{z})$ ($C$) $\theta=60^{\circ}$ ($D$) $d / h_1=2 \sqrt{3}$
- [IIT 2023]
A shell is fired at a speed of $200\ m/s$ at an angle of $37^o$ above horizontal from top of a tower $80\ m$ high. At the same instant another shell was fired from a jeep travelling away from the tower at a speed of $10\ m/s$ as shown. The velocity of this shell relative to jeep is $250\ m/s$ at an angle of $53^o$ with horizontal. Find the time (in $sec$) taken by the two shells to come closest.
A shell is fired at a speed of $200\ m/s$ at an angle of $37^o$ above horizontal from top of a tower $80\ m$ high. At the same instant another shell was fired from a jeep travelling away from the tower at a speed of $10\ m/s$ as shown. The velocity of this shell relative to jeep is $250\ m/s$ at an angle of $53^o$ with horizontal. Find the time (in $sec$) taken by the two shells to come closest.
A ball is projected from the ground at an angle of $45^{\circ}$ with the horizontal surface. It reaches a maximum height of $120 m$ and returns to the ground. Upon hitting the ground for the first time, it loses half of its kinetic energy. Immediately after the bounce, the velocity of the ball makes an angle of $30^{\circ}$ with the horizontal surface. The maximum height it reaches after the bounce, in metres, is. . . . .
A ball is projected from the ground at an angle of $45^{\circ}$ with the horizontal surface. It reaches a maximum height of $120 m$ and returns to the ground. Upon hitting the ground for the first time, it loses half of its kinetic energy. Immediately after the bounce, the velocity of the ball makes an angle of $30^{\circ}$ with the horizontal surface. The maximum height it reaches after the bounce, in metres, is. . . . .
- [IIT 2018]