To determine the height of a building based on the time it takes for a ball to hit the floor, we need to consider the motion of the ball under the influence of gravity.
The vertical motion of the ball can be described using the equation:
h = (1/2)gt²
where: h is the height of the building g is the acceleration due to gravity (approximately 9.8 m/s²) t is the time taken for the ball to hit the floor
Given that the time taken for the ball to hit the floor is 5 seconds, we can substitute this value into the equation:
h = (1/2)(9.8)(5)² h = 122.5 m
Therefore, the height of the building is approximately 122.5 meters.