Drag of Car across frictionless surface.

AI Thread Summary
A 1400 kg car with a cross-section of 1.8m by 1.46m is sliding on a frictionless surface at 19 m/s, and the discussion focuses on calculating the time it takes to decelerate to 13 m/s and then to 10 m/s. The drag force acting against the car complicates the calculations, as it varies with velocity. Participants suggest using Newton's second law to relate force to momentum changes over time. The initial attempts to solve the problem by plugging in different velocities into the drag equation have not yielded correct results. The discussion emphasizes the need to account for the changing drag force as the car slows down.
JosephLee
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1. a 1400 kg car with a cross section of 1.8m wide and 1.46m high slides across a frictionless surface at 19 m/s.

The question is how long does it take (in seconds) to get to 13 m/s?

the 2nd part is how long it does it take to get to 10 m/s?

2. D = .5(A)v^2 where A is the area of cross section

and basic mechanics equation V = Vo + at

3. The real problem lies in the fact that drag changes over the change in velocity. I tried solving for it initially by plugging in different velocities for the drag equation but it doesn't come out right.

So far, there is a drag force going backwards and the momentum of the car going forwards. I'm so frustrated because i believe that I am missing something very simple to solve this.
 
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Welcome to PF!

Hi Joseph! Welcome to PF! :smile:

Hint: use good ol' Newton's second law (force = rate of change of momentum) to make an equation involving t v and v/dt. :wink:
 
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