$A$ bomb is released from an aircraft. Its trajectory is:

The weight of an object:

$A$ stone is thrown vertically upwards with a velocity of $40 \, m s^{-1}$ and is caught back. (Taking $g = 10 \, m s^{-2}$) Calculate the maximum height reached by the stone. What is the net displacement and total distance covered by the stone?

The value of $g$ remains the same at all places on the surface of the earth. Is this statement true?

$(a)$ $A$ cube of side $5\, cm$ is immersed in water and then in a saturated salt solution. In which case will it experience a greater buoyant force? If each side of the cube is reduced to $4\, cm$ and then immersed in water,what will be the effect on the buoyant force experienced by the cube as compared to the first case for water? Give reasons for each case.
$(b)$ $A$ ball weighing $4\, kg$ with a density of $4000\, kg\, m^{-3}$ is completely immersed in water of density $10^3\, kg\, m^{-3}$. Find the force of buoyancy on it. (Given $g = 10\, m\, s^{-2}$)

Earth is continuously pulling the moon towards its centre,still it does not fall to the earth,why?