What do you mean by acceleration due to gravity?

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(N/A) When an object falls towards the ground from a height,its velocity changes during the fall. This change in velocity produces acceleration in the object. This acceleration is known as acceleration due to gravity,denoted by $g$. Its standard value on the surface of the Earth is approximately $9.8 \, m/s^2$.

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$A$ ball is thrown vertically upwards with a velocity of $49\, m/s$. Calculate
$(i)$ the maximum height to which it rises,
$(ii)$ the total time it takes to return to the surface of the earth.

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$A$ stone is released from the top of a tower of height $19.6\, m$. Calculate its final velocity just before touching the ground. (in $, ms^{-1}$)

Choose the correct alternative:
$(a)$ Acceleration due to gravity increases/decreases with increasing altitude.
$(b)$ Acceleration due to gravity increases/decreases with increasing depth.
$(c)$ Acceleration due to gravity is independent of the mass of the earth/mass of the body.

State whether the following statement is True or False:
The value of $g$ is zero at the centre of the earth.

Give a reason for the statement that the value of $g$ is greater at the poles than at the equator.

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