A bomb is released from a horizontal flying aeroplane. The trajectory of bomb is
a parabola
a straight line
a circle
a hyperbola
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 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, $g =10\,ms ^{-2}$)
In the figure shown, velocity of the particle at $P \,(g = 10\,m/s^2)$
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 |