Many sports cars are convertibles. The air flow over such a caris significantly different depending on whether the convertible topis up or down. The engine of the 1000-kg car delivers 135 kW to thewheels, the car frontal area is 1.9 m2 and rollingresistance is 2.5% of the car weight. The drag coefficient when thetop is down is 0.43 and 0.31 when it is up. For 20 ºC air at oneatmosphere, determine:
a. the maximum speed with the top up (in m/s)
b. the maximum speed with the top down (in m/s)