A ball is thrown vertically upwards from the top of a tower with a velocity $u$. This ball reaches the ground level with a velocity $4\,u$. The height of the tower is
$\frac{3u^2}{g}$
$\frac{4u^2}{g}$
$\frac{6u^2}{g}$
$\frac{15u^2}{2g}$
When a ball is dropped into a lake from a height $4.9 \,m$ above the water level, it hits the water with a velocity $v$ and then sinks to the bottom with the constant velocity $v$. It reaches the bottom of the lake $4.0,s$ after it is dropped. The approximate depth of the lake is ............ $m$
From a building two balls $A$ and $B$ are thrown such that $A$ is thrown upwards and $B$ downwards with the same speed (both vertically). If $v_{A}$ and $v_{B}$ are their respective velocities on reaching the ground then,
A ball is dropped from a building of height $45 \,m$. Simultaneously another ball is thrown up with a speed $40\, ms^{-1}$. Calculate the relative speed of the balls as a function of time.
A man in a balloon rising vertically with an acceleration of $4.9\,m/{\sec ^2}$ releases a ball $2$ sec after the balloon is let go from the ground. The greatest height above the ground reached by the ball is...........$m$ $(g = 9.8\,m/{\sec ^2})$
Two bodies are held separated by $9.8\,m$ vertically one above the other. They are released simultaneously to fall freely under gravity. After $2\,s$, the relative distance between them is $............\,m$