A dog is running toward a cat that is 1.5 m away. Initially at rest, the cat sees the dog running toward her and accelerates away from the dog at 0.85 m/s/s directly toward a small pet door that is another 1.5 m in front of the cat (too small for the dog, but OK for the cat to fit through). Seeing the small window ahead, the dog (initially moving at 1.6 m/s) begins to slow down at 0.2 m/s/s. We need to figure out if the cat makes it out of the door before the dog arrives, and so how far does the dog go by the time the cat reaches the door? Report your answer to the tenths decimal place.

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 84A
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  1. A dog is running toward a cat that is 1.5 m away. Initially at rest, the cat sees the dog running toward her and accelerates away from the dog at 0.85 m/s/s directly toward a small pet door that is another 1.5 m in front of the cat (too small for the dog, but OK for the cat to fit through). Seeing the small window ahead, the dog (initially moving at 1.6 m/s) begins to slow down at 0.2 m/s/s. We need to figure out if the cat makes it out of the door before the dog arrives, and so how far does the dog go by the time the cat reaches the door? Report your answer to the tenths decimal place. 

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