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, $g =10\,ms ^{-2}$)
$20$
$15$
$30$
$25$
Water is flowing from a horizontal pipe fixed at a height of $2\,m$ from the ground. If it falls at a horizontal distance of $3\,m$ as shown in figure, the speed of water when it leaves the pipe is $............\,ms^{-1}$ (take $g=9.8\,ms ^{-2}$ )
In the figure shown, velocity of the particle at $P \,(g = 10\,m/s^2)$
A ball is dropped from a height of $49\,m$. The wind is blowing horizontally. Due to wind a constant horizontal acceleration is provided to the ball. Choose the correct statement (s). (Take $g=9.8\,m / s ^2$ )
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 |
A ball of mass $0.2 \ kg$ rests on a vertical post of height $5 m$. A bullet of mass $0.01 \ kg$, traveling with a velocity $V / s$ in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of $20 \ m$ and the bullet at a distance of $100 \ m$ from the foot of the post. The initial velocity $V$ of the bullet is