The height of the science hall can be related to final velocity through the equation,
d = (Vf² - Vi²) / 2a
where d is the distance or height, Vf is the final velocity, Vi is the initial velocity and a is the acceleration due to gravity. Substituting the known values,
d = ((17 m/s)² - (0 m/s)²) / 2(9.8 m/s²)
Simplifying,
d = 14.74 m
ANSWER: 14.74 m