What is the kinetic energy of an object?

An object of mass $5\,kg$ falls from a height of $5\,m$ above the ground. The loss of potential energy of the mass is:

$(i)$ Derive an expression for the kinetic energy of an object. Write the $SI$ unit of kinetic energy.
$(ii)$ An object of mass $10 \, kg$ is moving with a uniform velocity of $5 \, m s^{-1}$. Calculate the kinetic energy possessed by the object.

$(a)$ Define potential energy. Write an expression for potential energy of an object of mass $m$ raised through a height $h$.
$(b)$ Find the energy possessed by an object of mass $10 \, kg$ when it is raised to a height of $6 \, m$ above the ground. (Given $g = 9.8 \, m s^{-2}$)

$A$ body is thrown vertically upwards. Its velocity goes on decreasing. What is the change in kinetic energy when its velocity becomes zero?

An object of mass $1 \, kg$ has a potential energy of $1 \, J$ relative to the ground when it is at a height of: (in $, m$)