A vehicle manufacturer is considering an engine for a new sedan (CD = 0.34, Af = 22 ft2). The car is being designed to achieve a top speed of 100 mi/h on a paved surface at sea level (ρ = 0.002378 slugs/ft3) and a grade of 2%. The car currently weighs 2000 lb, but the designers initially selected an underpowered engine because they did not account for aerodynamic, grade, and rolling resistances. If 2 lb 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? What is the maximum initial acceleration this car can achieve from rest on this particular road?

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Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.