Solution 25.25 Use the following differential equations to compute thevelocity and position of a soccer ball that is kicked straight up in theair with an initial velocity of 40 m/s:dy= vdtdvCd-gdtmwhere yupward 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 isrelated to more fundamental parameters by%3D1PAC,where p = air density (kg/m³), A = area (m²), and Ca = the di-mensionless drag coefficient. Use the following parameter valuesfor your calculation: d = 22 cm, m = 0.4 kg, p =Ca = 0.52.1.3 kg/m², and

The differential equations of motion for the soccer ball are given as: dydt=vdvdt=-g-cdmvv The…

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