Two cars are moving in same direction with a speed of 30 km / h. They are separated by a distan

Name: Problem 66, Chapter 4: Physics for IIT - JEE 2012-13 mechanics I
Uploaded: 2021-10-11T18:23:22-08:00
Duration: 1 min 49 s
Channel: Vysakh M
Description: Two cars are moving in same direction with a speed of 30 km / h. They are separated by a distance of 5 km. What is the speed of a car moving in opposite direction if it meets the two cars at an interval of 4 min? a. 60 km / h b. 15 km / h c. 30 km / h d. 45 km / h

step 1 Hi, welcome to the solution of problem number 66. So here, the car A and car B are moving in the

Question

Two cars are moving in same direction with a speed of $30 \mathrm{~km} / \mathrm{h}$. They are separated by a distance of $5 \mathrm{~km}$. What is the speed of a car moving in opposite direction if it meets the two cars at an interval of 4 min? a. $60 \mathrm{~km} / \mathrm{h}$ b. $15 \mathrm{~km} / \mathrm{h}$ c. $30 \mathrm{~km} / \mathrm{h}$ d. $45 \mathrm{~km} / \mathrm{h}$

   Two cars are moving in same direction with a speed of $30 \mathrm{~km} / \mathrm{h}$. They are separated by a distance of $5 \mathrm{~km}$. What is the speed of a car moving in opposite direction if it meets the two cars at an interval of 4 min?
a. $60 \mathrm{~km} / \mathrm{h}$
b. $15 \mathrm{~km} / \mathrm{h}$
c. $30 \mathrm{~km} / \mathrm{h}$
d. $45 \mathrm{~km} / \mathrm{h}$

Physics for IIT - JEE 2012-13 mechanics I

B.M. Sharma 2011 Edition

Chapter 4, Problem 66

Instant Answer

Solved by Expert Vysakh M

10/11/2021

Step 1

Since cars A and B are moving in the same direction with the same speed, their relative velocity is zero. However, car C is moving in the opposite direction and meets cars A and B at an interval of 4 minutes. Show more…

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Two cars are moving in same direction with a speed of $30 \mathrm{~km} / \mathrm{h}$. They are separated by a distance of $5 \mathrm{~km}$. What is the speed of a car moving in opposite direction if it meets the two cars at an interval of 4 min? a. $60 \mathrm{~km} / \mathrm{h}$ b. $15 \mathrm{~km} / \mathrm{h}$ c. $30 \mathrm{~km} / \mathrm{h}$ d. $45 \mathrm{~km} / \mathrm{h}$

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Key Concepts

Relative Speed

Relative speed is the combined rate at which two objects move toward or away from each other. In the context of objects moving in opposite directions, the relative speed is the sum of their individual speeds. This concept allows us to analyze scenarios where the time for objects to meet or separate is determined by their combined speeds.

Distance-Time Relationship

The distance-time relationship is a fundamental concept in motion which states that distance is the product of speed and time. This relationship is essential for solving problems involving motion, as it directly connects how far an object travels with its speed over a given period.

Frame of Reference

A frame of reference provides the perspective from which motion is observed and measured. In problems involving multiple moving objects, choosing an appropriate frame of reference simplifies the analysis by allowing us to consider the relative motion between the objects effectively.

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