The falling object has a speed vo when it strikes and subsequently deforms the foam arresting material until it comes to rest. The resistance of the foam material to deformation is a function of penetration depth y and object speed v so that the acceleration of the object is a = g - k₁v-k₂ y, where v is the particle speed in inches per second, y is the penetration depth in inches, and k₁ and k₂ are positive constants. Plot the penetration depth y and velocity v of the objects as functions of time over the first five seconds for k₁ = 12 sec¹, k₂= 21 sec 2, and vo= 29 in./sec. After you have the plots, answer the questions as a check on your work. Questons: When t= 0.48 sec, When t= 0.95 sec, y = y Vo in., v = in., v = The object reaches 92% of its final penetration distance when t = in./sec in./sec sec.

The falling object has a speed vo when it strikes and subsequently deforms the foam arresting material until it comes to rest. The resistance of the foam material to deformation is a function of penetration depth y and object speed v so that the acceleration of the object is a = g - k₁v-k₂ y, where v is the particle speed in inches per second, y is the penetration depth in inches, and k₁ and k₂ are positive constants. Plot the penetration depth y and velocity v of the objects as functions of time over the first five seconds for k₁ = 12 sec¹, k₂= 21 sec 2, and vo= 29 in./sec. After you have the plots, answer the questions as a check on your work. Questons: When t= 0.48 sec, When t= 0.95 sec, y = y Vo in., v = in., v = The object reaches 92% of its final penetration distance when t = in./sec in./sec sec.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Section: Chapter Questions

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Question

Chapter 2, Problem 2/032
The falling object has a speed vo when it strikes and subsequently deforms the foam arresting material until it comes to rest. The resistance of the foam material to deformation is a function of penetration depth y
and object speed v so that the acceleration of the object is a = g - k₁v - k₂ y, where v is the particle speed in inches per second, y is the penetration depth in inches, and k₁ and k₂ are positive constants. Plot the
penetration depth y and velocity v of the objects as functions of time over the first five seconds for k₁ = 12 sec¹, k₂ = 21 sec 2, and vo= 29 in./sec. After you have the plots, answer the questions as a check on
your work.
Questons:
When t = 0.48 sec, y =
When t = 0.95 sec,
y =
Vo
in., v =
in., v =
The object reaches 92% of its final penetration distance when t =
in./sec
in./sec
sec.

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