The initial speed of a bullet fired from a rifle is $630\, m/s$. The rifle is fired at the centre of a target $700\, m$ away at the same level as the target. How far above the center of the target (in $m$) the rifle must be aimed in order to hit the target? (Take $g=10 \;m/s^2$)
$1.0$
$4.2$
$6.17$
$9.8$
A ball is held in the position shown with string of length $1\,\, m$ just taut & then projected horizontally with a velocity of $3 \,\,m/s$. If the string becomes taut again when it is vertical, angle $\theta$ is given by ........ $^o$
A ball is rolled off the edge of a horizontal table at a speed of $4\, m/second$. It hits the ground after $0.4\, second$. Which statement given below is true
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 |
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 $g=9.8\,ms ^{-2}$ )
A gun is aimed at a target in a line of its barrel. The target is released and allowed to fall under gravity at the same instant the gun is fired. The bullet will