Answer:
67.08 m
Explanation:
The object is in free-fall, so it undergoes constant acceleration. The motion can be modeled using kinematic equations, also known as SUVAT equations. The equation we will use is:
s = ut + ½ at²
where
- s is the displacement
- u is the initial velocity
- a is the acceleration
- t is the time
The initial velocity is u = 0 m/s. Taking down to be positive, the acceleration is a = 9.8 m/s². The time is t = 3.7 s. Solving for the displacement:
s = ut + ½ at²
s = (0 m/s) (3.7 s) + ½ (9.8 m/s²) (3.7 s)²
s = 67.08 m
The height of the building is 67.08 meters.
