Question

Use the formula below to solve the given problem. In the formula, d represents the distance an object falls, in meters, and trepresents the time that an object falls, in seconds. Do not include units in your answer. A rock dropped down a well takes 5 seconds to fall to the bottom of the well

What is the depth of the well?
Va = t. 49

Answer 1

The depth of the well is found using the formula for the distance of a falling object. By substituting the time of 5 seconds into the modified formula given, we calculate that the rock falls a distance of 245 meters, which is the depth of the well.

Step-by-step explanation:

To determine the depth of a well when a rock takes 5 seconds to reach the bottom, we use the formula for distance of a falling object: d = ½ at^2, where d is the distance, a is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth), and t is the time in seconds. Since the question gives us a variation of this formula, va = t · 49, we can infer that va represents the constant ½ a, which means a is 9.8 m/s^2 and the factor of 49 comes from squaring the time in the standard equation. Substituting the time, we have: d = 5 · 49 = 245 meters. This means the rock falls a distance of 245 meters, which is the depth of the well.