# Impossible Relative Velocity Values

• Manasan3010
In summary, the possible solutions for the range of values for the magnitude of the sum of two vectors are 150 km/h, 200 km/h, and 500 km/h. This is based on the different possible scenarios of planes flying in various directions with different velocities. The easiest solution is to represent the flight paths with two velocity vectors of magnitude 300 km/hr and 400 km/hr and adjust their orientations to find the smallest and largest possible sums. Any answer within this range is considered correct.
Manasan3010
Homework Statement
Two Aeroplanes fly with velocities 300km/h and 400km/h respectively. What value can't be the relative velocity of one plane respect to other?
Relevant Equations
v=s/t
1) 150 km/h
2) 200 km/h
3 )500 km/h
4) 700 km/h
5) 800 km/h (Chosen Solution)

I know that values 700km/h ,100km/h ,-100km/h are possible scenarios but in what ways are 150km/h ,200km/h and 500km/h possible ?

When you add two vectors, what is the possible range of values of the magnitude of the sum?

The planes can be flying in any directions, for example at an angle to each other.

The easiest solution is to represent the flight paths with two velocity vectors of magnitude 300 km/hr and 400 km/hr. Then play around with the orientation of the vectors until you find the configuration that yields the smallest and largest possible vector sums. Any answer that falls within that range is correct.

## 1. What are impossible relative velocity values?

Impossible relative velocity values refer to situations where the speed of an object appears to exceed the speed of light. According to the theory of relativity, the speed of light is the maximum speed at which all matter and information in the universe can travel.

## 2. How can relative velocity values exceed the speed of light?

Relative velocity values can appear to exceed the speed of light when objects are moving at very high speeds relative to each other. This is known as the phenomenon of "apparent superluminal motion". However, this is an illusion caused by the effects of perspective and does not actually violate the laws of physics.

## 3. Can anything actually travel faster than the speed of light?

According to our current understanding of physics, nothing can travel faster than the speed of light. This is because as an object approaches the speed of light, its mass increases and it requires an infinite amount of energy to accelerate it further. Therefore, it is considered impossible for anything to exceed the speed of light.

## 4. Are there any exceptions to the speed of light limit?

There are some phenomena, such as the expansion of the universe and certain quantum effects, that appear to violate the speed of light limit. However, these exceptions can be explained by the laws of physics and do not actually involve objects moving faster than the speed of light.

## 5. How are impossible relative velocity values relevant to everyday life?

In our everyday lives, we do not encounter situations where objects are moving at speeds close to the speed of light. Therefore, the concept of impossible relative velocity values is not particularly relevant to our daily experiences. However, it is a key concept in understanding the behavior of the universe at a cosmic scale and in the development of advanced technologies such as space travel.

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