Car A is traveling at 65 km/h when it enters a 50 km/h speed zone. The driver of car A decelerates at a rate of 20 m/s2 until reaching a speed of 50 km/h, which she then maintains. When car B, which was initially 20 m behind car A and traveling at a constant speed of 70 km/h, enters the speed zone, its driver decelerates at a rate of 25 m/s2 until reaching a speed of 48 km/h. Knowing that the driver of car B maintains a speed of 48 km/h, determine a) the closest that car B comes to ca A, b) the time at which car A is 25 m in front of car B.

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
Section2.5: Motion Diagrams
Problem 2.5QQ: Which of the following statements is true? (a) If a car is traveling eastward, its acceleration must...
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Car A is traveling at 65 km/h when it enters a 50 km/h speed zone. The driver of car A decelerates at a rate of 20 m/s2 until reaching a speed of 50 km/h, which she then maintains. When car B, which was initially 20 m behind car A and traveling at a constant speed of 70 km/h, enters the speed zone, its driver decelerates at a rate of 25 m/s2 until reaching a speed of 48 km/h. Knowing that the driver of car B maintains a speed of 48 km/h, determine a) the closest that car B comes to ca A, b) the time at which car A is 25 m in front of car B.

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