With what speed should a body be thrown upwards so that the distances traversed in the $5^{\text{th}}$ second and $6^{\text{th}}$ second are equal? (Take $g = 9.8 \, m/s^2$)

Two stones of different masses are dropped simultaneously from the top of a building. Which of the following statements is true regarding their motion?

$A$ body dropped from the top of a tower clears $7/16$ of the total height of the tower in its last second of flight. The time taken by the body to reach the ground is........$s$

$A$ balloon rises up with a constant net acceleration of $10\,m/s^2$. After $2\,s$,a particle drops from the balloon. After a further $2\,s$,match the following columns. (Take $g=10\,m/s^2$)

Column $I$	Column $II$
$(A)$ Height of particle from ground	$(p)$ $0$
$(B)$ Speed of particle	$(q)$ $10$ $SI$ unit
$(C)$ Displacement of particle	$(r)$ $40$ $SI$ unit
$(D)$ Acceleration of particle	$(s)$ $20$ $SI$ unit

$A$ body falls freely from rest. It covers as much distance in the last second of its motion as it covers in the first three seconds. The body has fallen for a total time of ........ $s$.

$A$ ball is released from a height $h$. If $t_{1}$ and $t_{2}$ are the times required to complete the first half and the second half of the distance respectively,then choose the correct relation between $t_{1}$ and $t_{2}$.