From a balloon moving upwards with a velocity of $12\,ms^{-1}$, a packet is released when it is at a height of $65\, m$ from the ground. The time taken by it to reach the ground is...........$s$ $(g = 10\,ms^{-1})$,

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 $(g = 10\,\,m/{s^2})$

A helicopter is flying horizontally with a speed $'v'$ at an altitude $'{h}'$ has to drop a food packet for a man on the ground. What is the distance of helicopter from the man when the food packet is dropped?

A bomb is released from a horizontal flying aeroplane. The trajectory of bomb is

A body of mass $M$ thrown horizontally with velocity $v$ from the top of the tower of height $\mathrm{H}$ touches the ground at a distance of $100 \mathrm{~m}$ from the foot of the tower. A body of mass $2 \mathrm{M}$ thrown at a velocity $\frac{v}{2}$ from the top of the tower of height $4 \mathrm{H}$ will touch the ground at a distance of. . . . ..  

A ball is held in the position shown with string of length $1\,\, m$ just taut & then projected horizontally with a velocity of $3 \,\,m/s$. If the string becomes taut again when it is vertical, angle $\theta$ is given by  ........ $^o$