Problem C: Dog Cannot Catch a Treat - Simulating the Probability of a Dog's Ability to Catch
0Presented by:
A. Lee, Savannah Arts Academy, Savannah GA USA
Michael Richard, Jiwon Choi
(Coach) Sujin Kim, Savannah State University, Savannah GA USA
https://qubeshub.org/community/groups/simiode/expo/2024
Abstract: This presentation utilizes a mathematical model to graph a dog’s catchability difficulty when receiving a food object. Our study focuses on some key factors, namely initial velocity, final velocity, and time in flight to calculate the difficulty the dog experiences based on the collective impact on a dog’s success in catching these thrown objects. Our presentation assumes that all dogs have an intrinsic ability to catch thrown objects due to their physiology and evolved instincts. To quantify this skill, we have developed a graphical model that captures the behavior of an object when tossed based on the velocity and time in flight.
We examine scenarios where a dog may struggle to catch the food item based on a high final velocity or a short flight time, resulting in less time to react. More specifically, the model uses the initial velocity, representing the speed of the item at which the food projectile is thrown; the final velocity, representing the speed of the item just before it reaches the dog; and the time in flight. The presentation calculates an equation that relates initial velocity to final velocity, as well as an equation that relates vertical displacement to initial velocity, given conditions of initial angle thrown and horizontal displacement. In conclusion, our presentation offers valuable insights into the intricate relationship between initial velocity, final velocity, vertical displacement, flight time, and the difficulty for a dog to catch a projectile.