Respuesta :
The Velocity of particle A with respect to particle B = - 20 [tex]a_{x}[/tex]
We have two particles A and B are moving along east with speeds 20 m/s and 40 m/s respectively.
We have to determine the velocity of particle A with respect to particle B.
What is Relative Velocity?
The relative velocity of an object with respect to another is the velocity with which one object moves with respect to another object.
According to question, we have -
V(A) = 20 [tex]a_{x}[/tex]
V(B) = 40 [tex]a_{x}[/tex]
where - [tex]a_{x}[/tex] is the unit vector along the positive x - axis (eastern direction).
When two bodies move in the same direction then the
Relative Speed = Difference of Speeds.
The velocity of particle A with respect to B is -
[tex]V_{AB} =V _{A} -V_{B}[/tex] = 20[tex]a_{x}[/tex] - 40[tex]a_{x}[/tex] = - 20[tex]a_{x}[/tex]
Hence, the Velocity of particle A with respect to particle B = - 20 [tex]a_{x}[/tex]
To solve more questions on Relative velocity, visit the link below -
https://brainly.com/question/2936673
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