Question

if two cars A and B are travelling with same velocity V in opposite direction then magnitude of relative velocity of carA with respect to carB​

Answer 1

Answer:

2V

Explanation:

Velocity of AB= Velocity of A - Velocity of B

i.e VAB=VA-VB

=|VA|=|VB|

=V-(-V)=2V

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Answer 2

Concept:

When two bodies are moving in opposite directions, the relative velocity between them is equal to the sum of the velocity of the bodies.

Given:

The velocity of cars A and B in opposite direction = V

Find:

We need to determine the magnitude of the relative velocity of car A with respect to car B.

Solution:

1. One of the most important indicators of an object's position and speed is its velocity. Velocity basically measures how far an object moves in a particular amount of time.

2. The relative velocity of an object is the speed of the thing as measured by another observer.

3. The sum of the velocities of the two bodies, while they are travelling in opposite directions, determines their relative velocities.

4. It has been given that the velocity of car A and the velocity of car B moving in the opposite direction is V.

5. Thus, the magnitude of V_AB = Velocity of A - Velocity of B

Magnitude of V_AB = V - (-V)

V_AB = 2V m/s

Thus, the magnitude of the relative velocity of car A with respect to car B​ is 2V m/s.

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