what is the difference between resultant velocity and resultant speed class 11th vector
Answers
Answer:
When displacement vectors are added, the result is a resultant displacement. But any two vectors can be added as long as they are the same vector quantity. If two or more velocity vectors are added, then the result is a resultant velocity. If two or more force vectors are added, then the result is a resultant force.
Answer:
The velocity of an object as measured from a particular frame (physical state of the observer) is called the relative velocity of the object with respect to the observer. For eg : Let there be two observers - Bill and Steve. Bill is moving with a speed of 20 km/h while Steve is moving with a speed of 30 km/h. Both of them are moving in the north direction. Now, if another zooms past them in the north direction at a velocity of 100 km/h, then
The relative velocity of the car with respect to Bill is 100 - 20 = 80 km/h. On the other hand, the relative velocity of the car with respect to Steve is 100 - 30 = 70 km/h.
So we can see that the relative velocity of an object does not depend on it's actual velocity (as measured from a rest frame).
Now, to understand resultant velocity, you must first understand vectors. I'm assuming you know about vectors. The resultant velocity of a particle is the vector sum of all it's other velocities in other directions.
For eg : suppose there is a particle P. P has two velocities A and B in different directions. The angle made by the directions of these velocities is N.
Then the direction of the resultant velocity of V would be somewhere in between the directions of A and B. It is given by
V = sqrt(A^2 + B^2 +2ABcosN)
Thus, resultant velocity depends on it's components (here, A and B) and the angle between the components' directions, while the relative velocity depends on the frame from which it is measured. That's the main difference.(When you ask questions, always specify your age.
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