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 $(g = 10\,m/s^2)$
${\tan ^{ - 1}}\left( {\frac{1}{5}} \right)$
$\tan \left( {\frac{1}{5}} \right)$
$tan^{-1}(1)$
$tan^{-1}(5)$
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, $g =10\,ms ^{-2}$)
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 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 |
An aeroplane is flying at a constant horizontal velocity of $600\, km/hr $ at an elevation of $6\, km$ towards a point directly above the target on the earth's surface. At an appropriate time, the pilot releases a ball so that it strikes the target at the earth. The ball will appear to be falling
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 $g=10 \;m/s^2$)