Question

Object 1 is moving north at 10 mph and object 2 is also moving north at 5 mph. what is the velocity of object 1 relative to object 2?

Answer 1

The relative velocity of object 1 with respect to object 2 will be → +5 mph along the positive y - axis.

We have two objects moving in north direction.

We have to determine the relative velocity of object 1 relative to object 2.

What is Relative velocity?

The velocity of an object A relative to another object B is the velocity that object A would appear to have to an observer moving with B.

According to the question, we have -

The velocity of Object 1 = v(1) = $10\;a_{y}$ mph

The velocity of Object 2 = v(2) = $5\;a_{y}$ mph

Since the two objects 1 and 2 are moving in the same direction, therefore the velocity of object 1 relative to object 2 will be -

v(1)' = v(1) - v(2) =  $10\;a_{y}$  -  $5\;a_{y}$ =  $5\;a_{y}$ mph

Hence, the relative velocity of object 1 with respect to object 2 will be → +5 mph along the positive y - axis.

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