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?
Relatively to the ground, you would subtract your speed from how fast the bus is moving.
Relatively to the bus, I would guess that you are traveling the speed you are walking towards the back of that bus.
If you are walking toward the back of the bus with the same velocity as the bus is moving forward, then relative to the bus, it would appear as though there is no motion. This is because your velocity is canceling out the bus's velocity, making it seem like you are stationary relative to the bus. However, it is important to note that you are still in motion relative to a point on the ground.
To understand the motion relative to a point on the ground, you need to consider two velocities: your velocity relative to the bus and the bus's velocity relative to the ground. Since you are walking toward the back of the bus, your velocity relative to the bus is equal in magnitude but opposite in direction to the bus's velocity relative to the ground. Therefore, your motion relative to a point on the ground would be a combination of your velocity and the bus's velocity. If your velocity is equal in magnitude but opposite in direction to the bus's velocity, then relative to a point on the ground, you would be moving forward with a velocity equal to the difference between your velocity and the bus's velocity.