Question

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.​

Answer 1

Answer:

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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