Correct answer: 10 m
At half the maximum height, the velocity is given as 10 m/s. Using the energy conservation principle, the total mechanical energy remains constant. The maximum height can be calculated using the relation: h = v² / (2g), where v is the initial velocity at the bottom. Substituting v = 10 m/s and g = 10 m/s², we get h = 10 m.