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25.25 Use the following differential equations to compute the velocity and position of a soccer ball that is kicked straight up in the air with an initial velocity of 40 m/s: dy dt dv Cd -g dt m where y = upward distance (m), t = time (s), v = upward velocity (m/s), g = gravitational constant (= 9.81 m/s), ca cient (kg/m), and m = mass (kg). Note that the drag coefficient is related to more fundamental parameters by = drag coeffi- %3| 1 C4 = 5 PAC4 where p = air density (kg/m³), A = area (m²), and Ca mensionless drag coefficient. Use the following parameter values for your calculation: d = 22 cm, m = Ca = 0.52. the di- %3D 0.4 kg, p = 1.3 kg/m³, and

25.25 Use the following differential equations to compute the velocity and position of a soccer ball that is kicked straight up in the air with an initial velocity of 40 m/s: dy dt dv Cd -g dt m where y = upward distance (m), t = time (s), v = upward velocity (m/s), g = gravitational constant (= 9.81 m/s), ca cient (kg/m), and m = mass (kg). Note that the drag coefficient is related to more fundamental parameters by = drag coeffi- %3| 1 C4 = 5 PAC4 where p = air density (kg/m³), A = area (m²), and Ca mensionless drag coefficient. Use the following parameter values for your calculation: d = 22 cm, m = Ca = 0.52. the di- %3D 0.4 kg, p = 1.3 kg/m³, and

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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25.25 Use the following differential equations to compute the velocity and position of a soccer ball that is kicked straight up in the air with an initial velocity of 40 m/s: dy = v dt dv Cd -g dt m where y upward distance (m), t = time (s), v = upward velocity (m/s), g = gravitational constant (= 9.81 m/s²), ca = drag coeffi- cient (kg/m), and m = mass (kg). Note that the drag coefficient is related to more fundamental parameters by %3D 1 PAC, where p = air density (kg/m³), A = area (m²), and Ca = the di- mensionless drag coefficient. Use the following parameter values for your calculation: d = 22 cm, m = 0.4 kg, p = Ca = 0.52. 1.3 kg/m², and
Transcribed Image Text:25.25 Use the following differential equations to compute the velocity and position of a soccer ball that is kicked straight up in the air with an initial velocity of 40 m/s: dy = v dt dv Cd -g dt m where y upward distance (m), t = time (s), v = upward velocity (m/s), g = gravitational constant (= 9.81 m/s²), ca = drag coeffi- cient (kg/m), and m = mass (kg). Note that the drag coefficient is related to more fundamental parameters by %3D 1 PAC, where p = air density (kg/m³), A = area (m²), and Ca = the di- mensionless drag coefficient. Use the following parameter values for your calculation: d = 22 cm, m = 0.4 kg, p = Ca = 0.52. 1.3 kg/m², and
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