the falling ball hits and deforms the foam arresting material, it has a velocity of v0. The object's acceleration is a=g−k1v−k2y, where v is the particle speed in inches per second, y is the penetration depth in inches, and k1 and k2 are positive constants, while the resistance of the foam material to deformation is a function of penetration depth y and object speed v. Plot the object's penetration depth y and velocity v as functions of time for k1 = 14 sec−1, k2 = 28 sec−2, and v0 = 26 in./
the falling ball hits and deforms the foam arresting material, it has a velocity of v0. The object's acceleration is a=g−k1v−k2y, where v is the particle speed in inches per second, y is the penetration depth in inches, and k1 and k2 are positive constants, while the resistance of the foam material to deformation is a function of penetration depth y and object speed v. Plot the object's penetration depth y and velocity v as functions of time for k1 = 14 sec−1, k2 = 28 sec−2, and v0 = 26 in./
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
When the falling ball hits and deforms the foam arresting material, it has a velocity of v0. The
object's acceleration is a=g−k1v−k2y, where v is the particle speed in inches per second, y is the
penetration depth in inches, and k1 and k2 are positive constants, while the resistance of the
foam material to deformation is a function of penetration depth y and object speed v. Plot the
object's penetration depth y and velocity v as functions of time for k1 = 14 sec−1, k2 = 28 sec−2,
and v0 = 26 in./sec over the first five seconds. Calculate the time when the penetration depth
has reached 95% of its maximum value.
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