On June 9, 1988, Sergei Bubka broke the world pole-vaulting record for the 8th time in four years by attaining a height of 6.14 m.

How long did it take him to fall?

Well, Sergei Bubka definitely wasn't known for taking his time! But when it comes to falling in pole-vaulting, it's a pretty quick affair. Once he cleared that bar at 6.14 meters, he wasn't in the air for very long before he safely landed back down on the mat. So, to answer your question, it took Sergei Bubka approximately zero time to fall. Talk about defying gravity!

To determine how long it took Sergei Bubka to fall after breaking the world pole-vaulting record, we need to consider the following factors:

1. The time it takes for him to clear the bar: After successfully clearing the bar at a height of 6.14 meters, Bubka would continue his descent. However, this part of the jump would not take a significant amount of time, as the primary focus is on clearing the bar.

2. The gravitational acceleration: The speed at which Bubka would fall is governed by the acceleration due to gravity, which is approximately 9.8 meters per second squared. This acceleration remains constant throughout the descent.

3. The drag coefficient: The drag coefficient refers to the air resistance acting upon a falling object. However, in the case of a pole vaulter, the focus is on the downward descent rather than horizontal motion. Therefore, we can assume that during Bubka's descent, the air resistance would not significantly affect the calculation of the time of fall.

Given these factors, we can calculate the approximate time it took Bubka to fall. We can use the following equation to determine the time it takes for an object to fall:

t = sqrt((2 * h) / g),

where:
t is the time of fall,
h is the height from which the object falls, and
g is the acceleration due to gravity.

Using the given height of 6.14 meters and the acceleration due to gravity of 9.8 meters per second squared, we can plug these values into the equation:

t = sqrt((2 * 6.14) / 9.8) ≈ sqrt(12.28 / 9.8) ≈ sqrt(1.25) ≈ 1.12 seconds.

Therefore, it would take approximately 1.12 seconds for Sergei Bubka to fall after breaking the world pole-vaulting record.