5. (15 pts) Suppose that its desired to allow a SmartTM car, shown in Figure 4, to have a top speed of 200.0 mph (miles per hour). What engine power is required? Express your answer in units of horsepower. The drag coefficient of a SmartTM car is 0.360. The frontal area is 2.057 m . The density of air is 1.200 kg/m'. Solve the problem algebraically first starting with a derivation of the equation for top speed of a vehicle. Perform all unit conversions with the chain-link conversion method. You'll need to make use of the conversion relations 1 hp = 745.7 watt, 1 mi = 1.609 km, 1 h = 60 min, 1 min = 60 s, 1 km = 1000 m. Figure 4. A SmartTM car