Explain and show me the step by step of how the values from the Hodograph have been obtained?

For the Gulfstream IV considered in the previous examples, do the following: (a) Calculate and plot the rate of climb versus velocity at sea level. Also plot the hodograph diagram. From these plots, graphically obtain max, Vmax (R/C) max, and V(R/C) max at sea level. (b) Using the appropriate analytical expressions, calculate directly the values of Omax, Vmax (R/C) max, and V(R/C) max at sea level. Compare the results obtained from the graphical and analytical solutions. Solution (a) Graphical solution. Rate of climb is calculated from Eq. (5.80), where the excess power is the difference between the maximum power available and the power required, or R/C = excess power W (PA) max - PR W (TA) max VooDV W Here (TA) max=27,700 = 27,700 lb and is constant; W = 73,000 lb. The power required PR is calculated as shown in Example 5.7. In this example, we are at sea level, where po = 0.002377 slug/ft. See Table 5.4, page 279, for (PA) max, PR, and R/C at different values of Vo.. Maximum power available, power required, and rate of climb are plotted versus velocity in Fig. 5.37. The hodograph diagram is shown in Fig. 5.38, where the same velocity scale is used on both axes. Using the same velocity scale produces a shallow hodograph curve, but this allows the measurement on Fig. 5.38 of the true angle for max. The graphical solutions given in Figs. 5.37 and 5.38 show that ========= 18 Vemax ====== 375 ft/s (R/C) max = 180 ft/s V(R/C)max === = 750 ft/s