Question

You are walking towards India Gate. Is India Gate at rest with respect to you or in motion with respect to you?

Answer 1

Step 1: Given the diagram,

The diagrammatic representation of the motion given is,

Step 2: Calculate the velocity of the India gate with respect to you.

Relative velocity:

1. Relative velocity is the velocity of an object in relation to another object.
2. The velocity of object A relative to the object B can be given as,${\overrightarrow{v}}_{AB}={\overrightarrow{v}}_A-{\overrightarrow{v}}_B$

The diagram below shows the given scenario.

1. Since you are moving towards the India gate then, your velocity with respect to the ground, ${\overrightarrow{V}}_{YG}=v\hat{i}$
2. Since the India gate is at rest then the velocity of the India gate with respect to the ground, ${\overrightarrow{V}}_{IG}=0$
3. The velocity of India gate with respect to you,

$$\begin{gathered} {\overrightarrow{V}}_{IY}={\overrightarrow{V}}_{IG}-{\overrightarrow{V}}_{YG} \\ =0-V\hat{i} \\ =-V\hat{i} \end{gathered}$$

Hence, the India gate is in motion in the opposite direction of the motion as in the given diagram.