Two particles of same mass are projected simultaneously with same speed $20m{s}^{-1}$ from the top of a tower of height $20m$. One is projected vertically upwards and other projected horizontally. The maximum height attained by centre of mass from the ground will be $(g=10m{s}^{-2})$

Q. Two particles $A$ and $B$ are projected simultaneously from the top of two towers of height $10\text{m}$ and $20\text{m}$ respectively. Particle $A$ is projected upwards at an angle of ${45}^{\circ }$ with horizontal at a speed of $10\sqrt{2}\text{m/s}$ and particle $B$ is projected horizontally at a speed of $10\text{m/s}$ towards $A$. What is the distance between towers if particles collide in the air ?Take $g=10{\text{m/s}}^2$.

Q. Two balls of equal mass are projected upwards simultaneously, one from the ground with initial velocity $50m{s}^{-1}$ and the other from a 40 m tower with initial velocity of $30m{s}^{-1}$. The maximum height attained by their centre of mass will be:

Q. Two bodies $A$ and $B$ are thrown simultaneously. $A$ is projected vertically upwards with $20\text{m/s}$ speed from the ground and $B$ is projected vertically downwards from a height of $40\text{m}$ at the same speed and along the same line of motion. At what point do the two bodies collide?
$(g=10{\text{m/s}}^2)$

Q. Two balls $A$ and $B$ of equal masses are projected upward simultaneously, one from the ground with speed $50m{s}^{-1}$ and other from height $40m$ above the first ball high tower with initial speed $30m{s}^{-1}$. Find the maximum height attained by their centre of mass.

Q. Two particles one of mass $1$kg and the other of mass $2$kg are projected simultaneously with the same speed from the top of a tower. The particle of mass $1$ kg is projected vertically upward and the particle of mass $2$kg is projected vertically downward. The acceleration of centre of mass is :