A body weighing 10 lb stretches a spring 2 ft. Then a body weighing 32 lb is attached to the free end of the spring and is propelled upward with a velocity of 4 ft / s from equilibrium. If the medium offers a resistance to motion equal to 2 times the instantaneous velocity, determine: a. The equation of motion. b. The time it takes to reach extreme travel and that position. c. How far away is the object in at 2.12 s and 3.7 s? d. Graph the movement during the first 5 s. Value of g is 32.17 feet per second squared Note:- please solve all parts

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A body weighing 10 lb stretches a spring 2 ft. Then a body weighing 32 lb is attached to the free end of the spring and is propelled upward with a velocity of 4 ft / s from equilibrium. If the medium offers a resistance to motion equal to 2 times the instantaneous velocity, determine: a. The equation of motion. b. The time it takes to reach extreme travel and that position. c. How far away is the object in at 2.12 s and 3.7 s? d. Graph the movement during the first 5 s. Value of g is 32.17 feet per second squared Note:- please solve all parts
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