A particle is projected horizontally from a tower with velocity $10\,m / s$. Taking $g=10\,m / s ^2$. Match the following two columns at time $t=1\,s$.
Column $I$ | Column $II$ |
$(A)$ Horizontal component of velocity | $(p)$ $5$ SI unit |
$(B)$ Vertical component of velocity | $(q)$ $10$ SI unit |
$(C)$ Horizontal displacement | $(r)$ $15$ SI unit |
$(D)$ Vertical displacement | $(s)$ $20$ SI unit |
$( A \rightarrow q , B \rightarrow q , C \rightarrow q , D \rightarrow p )$
$( A \rightarrow q , B \rightarrow r , C \rightarrow q , D \rightarrow p )$
$( A \rightarrow q , B \rightarrow s , C \rightarrow q , D \rightarrow p )$
$( A \rightarrow s , B \rightarrow q , C \rightarrow q , D \rightarrow p )$
A ball rolls from the top of a stair way with a horizontal velocity $u\; m /s$ . If the steps are $h\; m$ high and $b\; m$ wide, the ball will hit the edge of the $n^{th}$ step, if $n=$
A bomber plane moves horizontally with a speed of $500\,m/s$ and a bomb released from it, strikes the ground in $10\,sec$. Angle with horizontal at which it strikes the ground will be $(g = 10\,m/s^2)$
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. . . . .
An aeroplane is flying horizontally with a velocity of $600\, km/h$ at a height of $1960\, m$. When it is vertically at a point $A$ on the ground, a bomb is released from it. The bomb strikes the ground at point $B$. The distance $AB$ is
Two balls of mass $M$ and $2 \,M$ are thrown horizontally with the same initial velocity $v_{0}$ from top of a tall tower and experience a drag force of $-k v(k > 0)$, where $v$ is the instantaneous velocity. then,