How Deep Is the Well?
How Deep Is the Well? Exploring Physics with Code Have you ever dropped a rock into a well and wondered how deep it is? The sound of the splash echoes back, but how can we calculate the depth without physically measuring it? Let’s dive into the fascinating world of physics and programming to solve this age-old question using Function Calculator. The Science Behind It When you drop an object into a well, two key events occur: The Fall : The object falls under the influence of gravity, accelerating as it goes. The Sound : After hitting the water, the sound of the splash travels back up to you. By combining these two events, we can calculate the depth of the well using basic physics. The total time t (the time it takes for you to hear the splash) is a combination of: The time it takes for the object to fall (fallTime). The time it takes for the sound to travel back up ( soundTime ). Using these principles, we can derive a quadratic equation to calculate the depth. The Fo...