## Problem Description### QuestionHow long does it take an automobile traveling in the left lane of a highway at 60.0 km/h to overtake (become even with) another car that is traveling in the right lane at 35.0 km/h when the cars' front bumpers are initially 55 m apart?### Answer Input Field---------------_______ s---------------### Additional Help Options---**Need Help?**- **[Read It]**- **[Watch It]**---## Explanation for SolutionIn this problem, we are given:- Speed of the car in the left lane: 60.0 km/h- Speed of the car in the right lane: 35.0 km/h- Initial distance between the front bumpers of the cars: 55 metersTo find the time it takes for the car in the left lane to catch up, we need to determine how long it takes to cover the additional 55 meters at the relative speed between the two cars.### Steps to Solve:1. **Convert speeds from km/h to m/s:** - Speed of left lane car: \( 60.0 \text{ km/h} = \frac{60.0 \times 1000}{3600} \text{ m/s} = 16.67 \text{ m/s} \) - Speed of right lane car: \(35.0 \text{ km/h} = \frac{35.0 \times 1000}{3600} \text{ m/s} = 9.72 \text{ m/s} \)2. **Find the relative speed between the two cars:** - Relative speed = \( 16.67 \text{ m/s} - 9.72 \text{ m/s} = 6.95 \text{ m/s} \)3. **Calculate the time to cover the initial distance with the relative speed:** - Time = Distance / Relative speed = \( \frac{55 \text{ m}}{6.95 \text{ m/s}} ≈ 7.91 \text{ s} \)So, it takes approximately 7.91 seconds for the car in the left lane to overtake the car in the right lane.

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How long does it take an automobile travel initinllu EE

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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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

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