Python Numerical Method Problems about trapezoidal rule
Posted: Sat May 14, 2022 3:23 pm
Python Numerical Method Problems about trapezoidal rule
5. (20%) The following table shows the power P supplied to the driving wheels of a car as a function of the speed v. If the mass of the car is m = 2000 kg, determine the time t (seconds) it takes for the car to accelerate from 1 m/s to 6 m/s. Use the trapezoidal rule for integration. 0 1.0 1.8 2.4 3.5 4.4 5.1 6.0 v(m/s) P(kW) 0 4.7 12.2 19.0 31.8 40.1 43.8 43.2 Hint: Use Newton's Law F = m( = and power P = Fv to derive t
5. (20%) The following table shows the power P supplied to the driving wheels of a car as a function of the speed v. If the mass of the car is m = 2000 kg, determine the time t (seconds) it takes for the car to accelerate from 1 m/s to 6 m/s. Use the trapezoidal rule for integration. 0 1.0 1.8 2.4 3.5 4.4 5.1 6.0 v(m/s) P(kW) 0 4.7 12.2 19.0 31.8 40.1 43.8 43.2 Hint: Use Newton's Law F = m( = and power P = Fv to derive t