You are walking toward the back of a bus that is moving forward with a constant velocity. Describe your motion relative to the bus and relative to a point on the ground.
if I am walking toward the back of the bus at the same velocity it is traveling,is it correct to say that there is there no motion for me relative to the bus?
If there is no relative motion between you and the bus, then you could never reach the back of the bus no matter how long you kept walking. But you would, so there must be relative motion between you and the bus.
Yes, if you are walking towards the back of the bus at the same velocity as it is moving forward, then you would be considered to have no motion relative to the bus. This is because your velocity perfectly matches that of the bus, resulting in no change in position relative to the bus.
However, relative to a point on the ground outside the bus, there would still be motion. This is because both you and the bus are moving forward with a constant velocity, so you are actually moving twice as fast as someone standing still on the ground.
To summarize:
- Relative to the bus: no motion
- Relative to a point on the ground: motion