. 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)
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ISBN:9781305084766
Author:Saeed Moaveni
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Chapter9: Mass And Mass-related Variables In Engineering
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3. 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?
dt
m
Where:
v = velocity (in m/s)
M =
= mass (in kg)
k = constant for the amount of resistance
g = constant gravitational acceleration
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.
а.
Transcribed Image Text:3. 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? dt m Where: v = velocity (in m/s) M = = mass (in kg) k = constant for the amount of resistance g = constant gravitational acceleration 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. а.
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