Question

If three particles A, B and C are having
velocities VA, VS and vC which of the
following formula gives the relative
velocity of A with respect to B
(A) VA +VB (B) VA - VC + VB​

Answer 1

Answer:

VA - VC + VB

hope this is correct

Answer 2

Answer:

Velocity of A w.r.t. B is $v_{A}-v_{B}$

Step-by-step explanation:

Given

Velocities of particles A, B and C respectively are

$v_A,v_B,v_C$

From concept of relative velocity if the velocity of two particles A and B are $v_A$ and $v_B$ respectively and velocity of A relative to B is $v_{A/B}$ then

$\boxed{v_{A/B}=v_{A/E}+v_{E/B}}$

Therefore, velocity of A relative to B

$v_{A/B}=v_{A/E}+v_{E/B}$

$\implies v_{A/B}=v_{A/E}-v_{B/E}$

$\implies v_{A/B}=v_{A}-v_{B}$

Hope this helps.