Question 3: The aerodynamic resistance to motion of a car is nearly proportional to the square of itsvelocity. Additional frictional resistance is constant, so that the acceleration of the car when coastingmay be written a = - C₁ - C₂v², where C₁ and C₂ are constants which depend on the mechanicalconfiguration of the car. If the car has an initial velocity vo when the engine is disengaged, derive anexpression for the distance D required for the car to coast to a stop.

Answered: Image /qna-images/answer/03506f6c-26f6-4cdc-a4b1-497f0a39469a.jpg

Question 3: The aerodynamic resistance to motion of a car is nearly proportional to the square of its velocity. Additional frictional resistance is constant, so that the acceleration of the car when coasting may be written a = - C₁-C2v2, where C₁ and C₂ are constants which depend on the mechanical configuration of the car. If the car has an initial velocity vo when the engine is disengaged, derive an expression for the distance D required for the car to coast to a stop.

Question 3: The aerodynamic resistance to motion of a car is nearly proportional to the square of its velocity. Additional frictional resistance is constant, so that the acceleration of the car when coasting may be written a = - C₁-C2v2, where C₁ and C₂ are constants which depend on the mechanical configuration of the car. If the car has an initial velocity vo when the engine is disengaged, derive an expression for the distance D required for the car to coast to a stop.