(b) An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational force is constant with g = 9.81 [m/sec²], and the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 4 [N-sec/m]. We ignore the forces other than gravity and air resistance. Use the velocity v(t) [m/sec] as our unknown and pick the downward direction as positive.
(b) An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational force is constant with g = 9.81 [m/sec²], and the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 4 [N-sec/m]. We ignore the forces other than gravity and air resistance. Use the velocity v(t) [m/sec] as our unknown and pick the downward direction as positive.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Can you solve these with the work written out please and thank you!
Transcribed Image Text:Derive an initial value problem (ODE+IC) for each of the following physical settings.
![(b) An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational force
is constant with g = 9.81 [m/sec²], and the force due to air resistance is proportional to the velocity of
the object with proportionality constant b = 4 [N-sec/m]. We ignore the forces other than gravity and air
resistance. Use the velocity v(t) [m/sec] as our unknown and pick the downward direction as positive.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff26bd2c7-a69a-414f-95bc-e32ed97937d0%2Ff1c47d99-04f9-4eda-9ab1-b7edb90ba409%2F3bvefca_processed.png&w=3840&q=75)
Transcribed Image Text:(b) An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational force
is constant with g = 9.81 [m/sec²], and the force due to air resistance is proportional to the velocity of
the object with proportionality constant b = 4 [N-sec/m]. We ignore the forces other than gravity and air
resistance. Use the velocity v(t) [m/sec] as our unknown and pick the downward direction as positive.
Expert Solution
Step 1
Given that mass of object is 2 kg and proportionality constant is 4 N-sec/m.
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