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Two cars, A and B, are traveling in the ...

Two cars, A and B, are traveling in the same direction with velocities `v_(a)` and `v_(b)` respectively. When car is at a distance d behind car B, the brakes on A are applied, causing a deceleration at a rate a. Show that to prevent a collision between A and B it is necessary that:

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The correct Answer is:
`v_(A) - v_(B) = sqrt(2ad)`
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