Answer:
The building is 54.66 m tall
Explanation:
Free Fall
It occurs when an object falls under the sole influence of gravity and do not encounter air resistance.
If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.8 m/s^2[/tex].
The distance traveled by a dropped object at time t is:
[tex]\displaystyle y=\frac{gt^2}{2}[/tex]
The watermelon is dropped from a tower dorm and takes t=3.34 seconds to hit the ground.
The distance traveled in that time is the height of the building:
[tex]\displaystyle h=\frac{9.8*3.34^2}{2}[/tex]
h = 54.66 m
The building is 54.66 m tall