Tow persons are moved with velocity 10 meter per second in opposite direction their relative velocities is
20 meters per second.
This is because their velocities are being added together to determine their relative velocity. One is moving 10 m/s to the right and the other is moving 10 m/s to the left, so their velocities are in opposite directions. When you add them together, you get:
10 m/s + (-10 m/s) = 0
But since we're looking for their relative velocity, we need to take the absolute value of the sum:
|10 m/s + (-10 m/s)| = |0| = 0
However, this doesn't tell us much about their relative motion. To get that, we need to consider their velocities in relation to each other. Since they're moving in opposite directions, their relative velocity will be the difference between their velocities:
10 m/s - (-10 m/s) = 20 m/s
So the relative velocity between the two persons is 20 m/s, in the direction of the person who is moving to the right.
The relative velocity between two objects moving in opposite directions can be found by subtracting the velocities of the two objects.
In this case, since both persons are moving with a velocity of 10 meters per second in opposite directions, the relative velocity can be calculated as follows:
Relative velocity = velocity of person A - velocity of person B
Relative velocity = 10 m/s - (-10 m/s)
Relative velocity = 10 m/s + 10 m/s
Relative velocity = 20 m/s
Therefore, the relative velocity between the two persons moving in opposite directions is 20 meters per second.