Two vehicles X and Y are moving in the same direction with the velocity of 12 m/s and 8 m/s respectively. Calculate the relative velocity of X with respect to y Also, calculate the relative velocity when they are moving in opposite directions.
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Here also let us assume the right direction is positive, then the left direction will be negative.
Given: v
A
=−15ms−1, v
B
=20ms−1
Relative velocity of B w.r.t A:
v
B
/
A
=v
B
−v
A
=20−(−15)=35ms
−1
(Positive sign indicates that this relative velocity is in right direction.)
Relative velocity of A w.r.t B: v
A
/
B
=v
A
−v
B
=−15−20=−35ms
−1
(Negative sign indicates that this relative velocity is in backward direction.)
Here the separation between A and B is increasing with time, hence the velocity of separation is 35ms
−1
.
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