3. A speeding car going 30 m/s passes a police car that is at rest. At the moment the speederpasses, the police car pulls out and accelerates 4 m/s/s. The speeder continues going 30 m/s.Which is ahead and by how much after 10 seconds? When does the police car catch thespeeder?

Answered: 3. A speeding car going 30 m/s passes a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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3. A speeding car going 30 m/s passes a police car that is at rest. At the moment the speeder
passes, the police car pulls out and accelerates 4 m/s/s. The speeder continues going 30 m/s.
Which is ahead and by how much after 10 seconds? When does the police car catch the
speeder?

Expert Solution

Step 1

The speeder will be ahead by 300 m after 10 seconds. The police car will catch the speeder after 25 seconds, when both vehicles will be moving at the same speed of 30 m/s.

The position of the speeder at time t (in seconds) can be calculated as: x = 30 * t

The position of the police car at time t can be calculated as: x = 0.5 * 4 * t² + 0

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