The relation between the mass, velocity and kinetic energy is,
[tex]K=\frac{1}{2}mv^2[/tex]where m is the mass of the rock, v is the velocity.
Substituting the known values,
[tex]\begin{gathered} K=\frac{1}{2}\times150\times75^2 \\ K=421875 \\ K=421.9\text{ kJ} \end{gathered}[/tex]Thus, the kinetic energy of the rock is 421.9 kJ.