Question: For an object having mass m falling in the z direction, the kinetic energy is 1/2m dz^2/dt and the potential energy is mgz, where g

For an object having mass m falling in the z direction, the kinetic energy is 1/2m dz^2/dt and the potential energy is mgz, where g is the gravitational acceleration constant (approximately 9.8 m/s²) and z is the position. For this one-dimensional motion, determine the Lagrangian function L and write the Lagrangian equation of motion.

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