Anna, driving at 40.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 205 m ahead traveling at 6.00 m/s. Anna applies her brakes but can accelerate only at -2.50 m/s2 because the road is wet. Will there be a collision? State how you decide. If yes, determine how far into the tunnel and at what time the collision occurs. If no, determine the distance of closest approach between Anna’s car and the van.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 53P
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Anna, driving at 40.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 205 m ahead traveling at 6.00 m/s. Anna applies her brakes but can accelerate only at -2.50 m/s2 because the road is wet. Will there be a collision? State how you decide. If yes, determine how far into the tunnel and at what time the collision occurs. If no, determine the distance of closest approach between Anna’s car and the van. 

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