Calculate relative velocity - A and B are traveling along parallel lines in a same direction with velocities 13 m/s and 5 m/s respectively.

A and B are traveling along parallel lines in a same direction with velocities 13 m/s and 5 m/s respectively. What will be the relative velocity of A with respect to B?

Options:

a. 13 m/s
b. 12 m/s
c. –8 m/s
d. 8 m/s

Correct Answer: d. 8 m/s

Explanation:

When two bodies A and B are moving with velocities vA and vB along two parallel lines in the same direction, then the relative velocity of body A with respect to body B is given by,

vAB = vA – vB

and the relative velocity of body B with respect to body A is given by,

vBA = vB – vA

Here,
vA=13 m/s
vB=5 m/s

Therefore, vAB = 13 – 5 = 8 m/s