Two cars A and B are running at velocities of 60 km h^-1 and 45 km h^-1. What is the relative

Name: Problem 85, Chapter 3: Objective NCERT at your FINGERTIPS: Physics
Uploaded: 2021-09-25T13:04:50-08:00
Duration: 1 min 16 s
Channel: Akshaya Rs
Description: Two cars A and B are running at velocities of 60 km h^-1 and 45 km h^-1. What is the relative velocity of car A with respect to car B, if both are moving eastward? (a) 15 km h^-1 (b) 45 km h^-1 (c) 60 km h^-1 (d) 105 km h^-1

step 1 In this question we will learn about some basic concept of the equations of motion. The question

Question

Two cars $A$ and $B$ are running at velocities of 60 $\mathrm{km} \mathrm{h}^{-1}$ and $45 \mathrm{~km} \mathrm{~h}^{-1}$. What is the relative velocity of car $A$ with respect to car $B$, if both are moving eastward? (a) $15 \mathrm{~km} \mathrm{~h}^{-1}$ (b) $45 \mathrm{~km} \mathrm{~h}^{-1}$ (c) $60 \mathrm{~km} \mathrm{~h}^{-1}$ (d) $105 \mathrm{~km} \mathrm{~h}^{-1}$

   Two cars $A$ and $B$ are running at velocities of 60 $\mathrm{km} \mathrm{h}^{-1}$ and $45 \mathrm{~km} \mathrm{~h}^{-1}$. What is the relative velocity of car $A$ with respect to car $B$, if both are moving eastward?
(a) $15 \mathrm{~km} \mathrm{~h}^{-1}$
(b) $45 \mathrm{~km} \mathrm{~h}^{-1}$
(c) $60 \mathrm{~km} \mathrm{~h}^{-1}$
(d) $105 \mathrm{~km} \mathrm{~h}^{-1}$

Objective NCERT at your FINGERTIPS: Physics

NCERT 11th Edition

Chapter 3, Problem 85

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Solved by Expert Akshaya Rs

09/25/2021

Step 1

Step 1: The velocity of car A, $v_A$, is given as $60 \mathrm{~km} \mathrm{~h}^{-1}$ and the velocity of car B, $v_B$, is given as $45 \mathrm{~km} \mathrm{~h}^{-1}$. Show more…

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Two cars $A$ and $B$ are running at velocities of 60 $\mathrm{km} \mathrm{h}^{-1}$ and $45 \mathrm{~km} \mathrm{~h}^{-1}$. What is the relative velocity of car $A$ with respect to car $B$, if both are moving eastward? (a) $15 \mathrm{~km} \mathrm{~h}^{-1}$ (b) $45 \mathrm{~km} \mathrm{~h}^{-1}$ (c) $60 \mathrm{~km} \mathrm{~h}^{-1}$ (d) $105 \mathrm{~km} \mathrm{~h}^{-1}$

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Key Concepts

Vector Subtraction

Vector subtraction is used when calculating the relative velocity because velocities have both magnitude and direction. In one-dimensional motion where both objects move in the same direction, the relative velocity can be determined by subtracting the slower velocity from the faster one, taking the direction into account.

Relative Velocity

Relative velocity refers to the velocity of one object as observed from another moving object. It involves calculating the difference between the velocities of the two objects, which gives a measure of how fast one is moving relative to the other in a specific direction.

Reference Frame

A reference frame is a perspective from which motion is observed and measured. In problems dealing with relative motion, choosing an appropriate reference frame—often moving with one of the objects—simplifies the calculation by reducing it to the analysis of the difference in velocities.

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