Physics Problem: Object Falling Calculation

How far has the object fallen?

Given that the object was dropped and fell for 4.28 seconds before hitting the ground.

Answer:

The object has fallen approximately 90 meters.

In this physics problem, the object experiences free fall. Using the formula s = 0.5*a*t² with the given values, we find the object falls approximately 90 meters.

Explanation:

The subject in this question is a common situation in physics: an object experienced free fall. In such a situation, we can use the basic equation of motion that relates distance (s), acceleration (a), and time (t). Note that the only force acting on the object when in vacuum is gravity, which gives it an acceleration of about -9.81 m/s² (negative indicates direction, here, downward). The formula we'll use is: s = 0.5*a*t² Plugging the known values into the equation: s = 0.5*(-9.81 m/s²) * (4.28 s)² = approx. 90 meters. Therefore, the object has fallen approximately 90 meters.