Final answer:
The height of the roof of the building is 1254.4 meters.
Step-by-step explanation:
Using the formula for free fall, h = 1/2 * g * t^2
Where h is the height, g is the acceleration due to gravity (-9.8 m/s^2), and t is the time taken (16 seconds), we can calculate the height of the roof.
Plugging in the values, we have h = 1/2 * -9.8 * 16^2 = 1/2 * -9.8 * 256 = 0.5 * -9.8 * 256 = -1254.4 m.
Since height cannot be negative, we take the absolute value and conclude that the height of the roof is 1254.4 meters.
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