An aeroplane moving horizontally with a speed of $720 \,km/h$ drops a food pocket, while flying at a height of $396.9\, m$. the time taken by a food pocket to reach the ground and its horizontal range is (Take $g = 9.8 m/sec^{2}$)
$3 \,sec$ and $2000 \,m$
$5\, sec$ and $500\, m$
$8\, sec$ and $1500\, m$
$9 \,sec$ and $1800 \,m$
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
A body of mass $2\; kg$ has an initial velocity of $3 \;m / s$ along $OE$ and it is subjected to a force of $4$ newtons in $OF$ direction perpendicular to $OE$. The distance of the body from $O$ after $4 \;seconds$ will be
A body is thrown horizontally from the top of a tower of height $5 \,m$. It touches the ground at a distance of $10 \,m$ from the foot of the tower. The initial velocity of the body is ......... $ms^{-1}$ ($g = 10\, ms^{-2}$)
Two paper screens $A$ and $B$ are separated by a distance of $100\,m$. A bullet pierces $A$ and then $B$. The hole in $B$ is $10\,cm$ below the hole in $A$. If the bullet is travelling horizontally at the time of hitting $A$, then the velocity of the bullet at $A$ is $.......\,m / s$