expression for relative velocity in the case of two bodies moving in the same direction
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Hey buddy! Here is the solution for the question you asked.
If two Bodies are moving in the same direction then the relative velocity of the bodies equals to the difference between their velocities.
But, here the relative velocity depend upon the frame of references.
Suppose if there are two cars (A & B) traveling in a straight line, in the same direction with velocities v1 and v2 then the relative velocity with respect to A is v2-v1 and that of with respect to B is v1-v2.
To be more clear,
Let v1 be 10 m/s & v2 be 27 m/s.
Then the relative velocity with respect to A = v2-v1 = 27 m/s - 10 m/s =17 m/s
(It means that the person sitting in car A will observe car B to be moving forward at 17 m/s).
& the relative velocity with respect to B = v1-v2 =10 m/s - 27 m/s = - 17 m/s
(it means that the person sitting in car B will observe car A to be moving backwards at 17 m/s).
But if the cars are moving in the opposite directions then the relative velocity is simply the sum of their velocities i.e. v1 + v2
It doesn't depend on their frame of references.
I hope it's clear to you now.
Please mark this solution as a brainliest answer and also follow me for more such detailed solutions in maths and physics.
Regards,
Gaurav kumar
If two Bodies are moving in the same direction then the relative velocity of the bodies equals to the difference between their velocities.
But, here the relative velocity depend upon the frame of references.
Suppose if there are two cars (A & B) traveling in a straight line, in the same direction with velocities v1 and v2 then the relative velocity with respect to A is v2-v1 and that of with respect to B is v1-v2.
To be more clear,
Let v1 be 10 m/s & v2 be 27 m/s.
Then the relative velocity with respect to A = v2-v1 = 27 m/s - 10 m/s =17 m/s
(It means that the person sitting in car A will observe car B to be moving forward at 17 m/s).
& the relative velocity with respect to B = v1-v2 =10 m/s - 27 m/s = - 17 m/s
(it means that the person sitting in car B will observe car A to be moving backwards at 17 m/s).
But if the cars are moving in the opposite directions then the relative velocity is simply the sum of their velocities i.e. v1 + v2
It doesn't depend on their frame of references.
I hope it's clear to you now.
Please mark this solution as a brainliest answer and also follow me for more such detailed solutions in maths and physics.
Regards,
Gaurav kumar
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