PLEASE HELP How long will it take until the car's speed drops to 12.0 m/s?

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To determine how long it takes for a car's speed to drop from 19.0 m/s to 12.0 m/s and then to 11.0 m/s while considering air resistance, it's essential to apply kinematic equations and Newton's second law (F=ma). The problem requires understanding the forces acting on the car, particularly drag due to air resistance, which affects deceleration. A free body diagram can help visualize these forces, illustrating the relationship between speed, time, and the forces at play. The discussion emphasizes the need for a clear explanation of the solution process. Understanding these concepts is crucial for solving the problem effectively.
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Homework Statement


A 1.54 m wide, 1.48 m high, 1600 kg car hits a very slick patch of ice while going 19.0 m/s. Air resistance is not negligible.
If friction is neglected, how long will it take until the car's speed drops to 12.0 m/s?
To 11.0 m/s?

Homework Equations


Kinematics equations, F=ma


3. solution
I have no idea how to solve this :-(
If you solve it, please explain WHY?
 
Last edited:
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Draw a free body diagram. What are the forces acting on the car?
 
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