To find the passenger's relative velocity to the ground, we need to combine the velocity of the train and the velocity of the passenger. Since both the train and the passenger are moving in the same direction (East), we simply add their velocities together.
- Velocity of the train = 45 m/s East
- Velocity of the passenger = 2 m/s East
The relative velocity of the passenger to the ground is:
\[ \text{Relative velocity} = \text{Velocity of the train} + \text{Velocity of the passenger} \]
\[ \text{Relative velocity} = 45 , \text{m/s} + 2 , \text{m/s} = 47 , \text{m/s} \]
So, the correct answer is:
47 m/s