Assuming the car decelerates at a constant rate, above what minimum magnitude of the deceleration avoids a rear-end collision? can you solve this with a detailed explanation

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter3: Characteristics Of The Driver, The Pedestrian, The Bicyclist, The Vehicle, and The Road
Section: Chapter Questions
Problem 10P
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As a car comes around a bend onto a straight road moving at 80 km/hr the driver suddenly notices another slower car ahead, a distance d = 50 m ahead, moving at 30 km/hr. At this moment, in order to avoid hitting the slow-moving car ahead the driver slows down but takes .25 seconds to react relative to first noticing the car 50 m ahead. Assuming the car decelerates at a constant rate, above what minimum magnitude of the deceleration avoids a rear-end collision? can you solve this with a detailed explanation

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