The correct graph that shows the relationship between kinetic energy and velocity of an object in motion would be a diagonal curved graph.
The kinetic energy (\(KE\)) of an object is given by the formula:
\[ KE = \frac{1}{2}mv^2 \]
where \(m\) is the mass of the object and \(v\) is its velocity. As you can see from the formula, kinetic energy is proportional to the square of the velocity. This means that as the velocity increases, the kinetic energy increases with the square of that increase, resulting in a curve when graphed.
So, among your options, diagonal curved is the correct choice.
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