. When a skydiver jumps out of a (perfectly good) airplane, apart from experiencing sheer terror (and exhilaration), she experiences two forces, Gravity (acting downwards and Air resistance, acting upwards. A model in differential equation is written below in terms of velocity and mass of object and time. dv kv? - g m dt Where: v = velocity (in m/s) M = mass (in kg) k = constant for the amount of resistance g = constant gravitational acceleration a. Find the velocity after 5 seconds for a sky diver of mass m = 80 kg and k = 0.2 (in kph). b. Find the terminal velocity for any object for general values of g and k.
. When a skydiver jumps out of a (perfectly good) airplane, apart from experiencing sheer terror (and exhilaration), she experiences two forces, Gravity (acting downwards and Air resistance, acting upwards. A model in differential equation is written below in terms of velocity and mass of object and time. dv kv? - g m dt Where: v = velocity (in m/s) M = mass (in kg) k = constant for the amount of resistance g = constant gravitational acceleration a. Find the velocity after 5 seconds for a sky diver of mass m = 80 kg and k = 0.2 (in kph). b. Find the terminal velocity for any object for general values of g and k.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter9: Mass And Mass-related Variables In Engineering
Section: Chapter Questions
Problem 5P
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