vehicle manufacturer is considering an engine for a new sedan (Cd=0.34, Af=22ft^2). the car is being designed to achieve a top speed of 100 mi/h on a paved surface at sea level (p=0.002378 slugs/ft^3). the car currently weights 2500lb, but the designers initially selected an underpowered engine because they did not account for aerodynamic and rolling resistances. if 2lb of additional vehicle weight is added for each unit of horsepower needed to overcome the neglected resistance, what will be the final weight of the car if it is to achieve the 100-mi/h top speed?