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If the velocities are equal from my point of view, then I see them both moving

at the same speed and in the same direction. That means that from the point

of view of an observer riding on either body, the other one is standing still.

Their relative velocity is zero.

This is exactly the situation with a passenger and the book she's reading, both

in an airliner flying west at 400 mph.

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12y ago
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11y ago

The relative velocities is Va/Vb = r.

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Q: What is relative velocity for two bodies A and B with velocities Va and Vb in the same direction?
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What is the meaning of formula for resultant velocity?

There are several layers of complexity to resultant velocity of a colision based on the assumptions used. In a cohessive colision, two or more bodies colide and fuse into one. The resultant velocity is the speed and direction the new body will travel due to the momentum of the original bodies. In a non-cohessive colision, two or more bodies colide, but subsequently rebound away from each other based on the area of contact and momentum of the relevant bodies. The resultant velocities are the speed, direction, and rotation the bodies after the crash.


Why do you need momentum?

Momentum is defined as the "Mass in Motion". It is a Vector quantity. It depends on two variables (Object Mass and Velocity) . Its direction is same as objects velocity direction. In physics momentum is required to specify the motion of the object . If two bodies of same masses having different velocities have different momentum , in a similar way bodies of different masses having same velocity have different momentum. So , in order to describe the motion of object clearly one of the tool in classical mechanics is momentum


Can the relative velocity of two bodies be greater than the absolute velocity of either?

Yes it can be!!! If two cars on a straight road head directly toward each other at a speed of 60mph (relative to the road), the velocity of one relative to the other is 120mph. This example arbitrarily uses the road as the reference for each car's speed, but there really is no such thing as "absolute velocity" and both cars would have a velocity of about 1000mph relative to the center of the Earth. According to Einstein's principles of "Relativity" all velocity is relative.


What is the difference between static friction and sliding friction?

Sliding friction is always less than the static friction by small amount.


Can momentum have a negative velocity?

No, momentum can not have a negative velocity. Velocity is the rate of motion of a body from one position to another position in a particular direction. Bodies traveling in opposite directions may appear to have a negative velocity in relationship to each other but any amount of velocity is positive.

Related questions

What is the meaning of formula for resultant velocity?

There are several layers of complexity to resultant velocity of a colision based on the assumptions used. In a cohessive colision, two or more bodies colide and fuse into one. The resultant velocity is the speed and direction the new body will travel due to the momentum of the original bodies. In a non-cohessive colision, two or more bodies colide, but subsequently rebound away from each other based on the area of contact and momentum of the relevant bodies. The resultant velocities are the speed, direction, and rotation the bodies after the crash.


Why the velocities of falling bodies are not proportional to their weights?

Why the velocities of falling bodies are not proportional to their weights?


Why do you need momentum?

Momentum is defined as the "Mass in Motion". It is a Vector quantity. It depends on two variables (Object Mass and Velocity) . Its direction is same as objects velocity direction. In physics momentum is required to specify the motion of the object . If two bodies of same masses having different velocities have different momentum , in a similar way bodies of different masses having same velocity have different momentum. So , in order to describe the motion of object clearly one of the tool in classical mechanics is momentum


Damage is more when two bodies collide from opposite directions than when they collide at any other angle.Is it due to the momentum of the objects or their relative velocities?

It is due to the momentum of the two bodies.


Can bodies with different velocities have same acceleration?

Yes, velocity is acceleration x time. If acceleration is the same, velocity can be different as it changes with time. For example a car accelerating with constant acceleration will have a different velocity after 5 seconds than it will have at 2 seconds.


What is orbital velocities of celestial bodies?

There are estimated to be around one septillion (1,000,000,000,000,000,000,000,000) stars in the universe. Most will have some celestial bodies: space debris if not planets. So which one of these are you interested in?


What is the separation of the two bodies with initial velocity 10 ms after 2s?

That's going to depend on the directions of each of the two initial velocities. It's also going to depend on who measured the initial velocities, where he was standing, how he was moving, and with respect to what else, etc.


Can the relative velocity of two bodies be greater than the absolute velocity of either?

Yes it can be!!! If two cars on a straight road head directly toward each other at a speed of 60mph (relative to the road), the velocity of one relative to the other is 120mph. This example arbitrarily uses the road as the reference for each car's speed, but there really is no such thing as "absolute velocity" and both cars would have a velocity of about 1000mph relative to the center of the Earth. According to Einstein's principles of "Relativity" all velocity is relative.


What is the difference between static friction and sliding friction?

Sliding friction is always less than the static friction by small amount.


Does force change velocities of bodies?

Newton's second Law states that when a resultant force acts on an object with constant mass, the object will accelerate and move in the direction of the resultant force. The product of the mass and the acceleration of the object is equal to the resultant force. The direction of the acceleration has the same direction as the resultant force. If the force stated in this question is always greater than the opposing force (i.e. friction, air resistance...) the body will continue to accelerate and its velocity will increase.


Can momentum have a negative velocity?

No, momentum can not have a negative velocity. Velocity is the rate of motion of a body from one position to another position in a particular direction. Bodies traveling in opposite directions may appear to have a negative velocity in relationship to each other but any amount of velocity is positive.


Is velocity conserved in elastic conditions?

Nah, brah. Momentum and kinetic energy are conserved, but velocity is not. Correct me if I am wrong but from how I interpret this, any collision cause the colliding bodies to change their direction. Thus velocity, which is a vector quantitiy containing direction, is by definition changed in an elastic collision. I guess speed, which is the magnitude of the velocity, can be considered as being conserved?