Two balls $A$ and $B$ are placed at the top of $180m$ tall tower. Ball $A$ is released from the top at $t=0s$. Ball $B$ is thrown vertically down with an initial velocity $u$ at $t=2s$. After a certain time, both balls meet $100m$ above the ground. Find the value of $u$ in $m{s}^{-1}$ [ use $g=10m/s^2$ ]

Q.

A ball released from rest at time t = 0 hits the ground. If it rebounds inelastically with a velocity 5 m/s and reaches the top at t = 1.5 s, then what is the displacement of the ball from its initial position after 1.5 s (g=10 $m/s^2$)?

Q. A ball is dropped from the top of a building and simultaneously, another ball is projected vertically upward from the ground with a velocity of $25m/s$. If the initial distance between these balls is $100m$. Calculate where the two balls will meet above the ground.
(Take g = $10m/s^2$ )

Q. From the top of a tower $100m$ in height a ball is dropped and at the same time another ball is projected vertically upwards from the ground with velocity of $25m{s}^{-1}$. Find when and where the two balls will meet. Take $g=10m{s}^{-2}$

Q. A ball is thrown vertically upwards from the top of a tower with an initial velocity of $19.6m{s}^{-1}$. The ball reaches the ground after $5s$. Calculate :$\left(i\right)$ the height of the tower, $\left(ii\right)$ the velocity of ball on reaching the ground. Take $g=9.8m{s}^{-2}$.

Q. A man is standing on top of a building 100 m high. He throws two balls vertically, one at t = 0 and other after a time interval (less than 2 s). The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is 15 m at t = 2 s. The gap is found to remain constant. The velocities with which the balls were thrown are (Take g = 10 m $s^{-2}$).