Relative velocity:
When the 2 points P and Q move in same plane, the rate of change of position of P with respect to the Q that us as seen from Q) can be defined as the relative velocity of P with respect to Q and it is represented by .
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Determination of relative velocity:
If the 2 points P and Q are moving with the velocities u and v respectively along 2 straight lines intersecting at the angle a then
vPQ = ....(1)
and ....(2)
The relations (1) and (2) give magnitude and direction of vPQ.
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Notes:
- If points P and Q be moving in same direction with the velocity u and v ( < u) then
vPQ = u - v ( in direction of P).
- If points P and Q be moving in opposite directions, then vPQ = u + v ( in the direction of P)
- In case the 2 points P, Q are moving with the velocities u, v at angles a, b with x axis, and v be velocity of P and relative to Q inclined at an angle b to the x axis then
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