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No, it takes more than double the time.

It probably takes the same amount of time for the driver to react - though given that at double the speed you are passing twice as many things outside, your reaction time may be affected. The kinetic energy of the car increases as the square of the velocity and this must be reduced to zero when you have stopped. So the relationship is non-linear.

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Q: When you double your speed in a car does it take double the time to stop?
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