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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question

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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