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 |
$( A \rightarrow p , B \rightarrow s , C \rightarrow s , D \rightarrow p )$
$( A \rightarrow p , B \rightarrow s , C \rightarrow q , D \rightarrow p )$
$( A \rightarrow p , B \rightarrow r , C \rightarrow s , D \rightarrow p )$
$( A \rightarrow p , B \rightarrow s , C \rightarrow r , D \rightarrow p )$
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 plane is flying horizontally at $98\, m/s$ and releases an object which reaches the ground in $10 \sec$. The angle made by object while hitting the ground is ......... $^o$
Two paper screens $A$ and $B$ are separated by distance $100 \,m$. A bullet penetrates $A$ and $B$, at points $P$ and $Q$ respectively, where $Q$ is $10 \,cm$ below $P$. If bullet is travelling horizontally at the time of hitting $A$, the velocity of bullet at $A$ is nearly .......... $m / s$