A shell is fired at a speed of $200\ m/s$ at an angle of $37^o$ above horizontal from top of a tower $80\ m$  high. At the same instant another shell was fired from a jeep travelling away from the tower at a speed of $10\ m/s$ as shown. The velocity of this shell relative to jeep is $250\  m/s$ at an angle of $53^o$ with horizontal. Find the time (in $sec$) taken by the two shells to come closest.

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 at which it strikes the ground will be $(g = 10\,\,m/{s^2})$

An aeroplane moving horizontally with a speed of $180\, km/hr$. drops a food packet while flying at a height of $490\,m$. The horizontal range is........$m$

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

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   ......... $^o$

A fighter jet is flying horizontally at a certain altitude with a speed of $200 \; ms ^{-1}$. When it passes directly overhead an anti-aircraft gun, bullet is fired from the gun, at an angle $\theta$ with the horizontal, to hit the jet. If the bullet speed is $400 \; m / s$, the value of $\theta$ will be $\dots \; {}^o$