Question

Two cars A and B are moving opposite to each
other with speed 20 m/s and 25 m/s respectively.
Magnitude of velocity of car A w.r.t. car B will be
(1) 45 m/s
(2) 15 m/s
(3) 5 m/s
(4) 20 m/s​

Answer 1

Answer:

Since, they are moving in mutually opposite direction,

Relative speed = V1 + V2

= 20 + 25

= 45km/h

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Answer 2

Question :

Two cars A and B are moving opposite to each

other with speed 20 m/s and 25 m/s respectively.

Magnitude of relative velocity of car A w.r.t. car B will be :

(1) 45 m/s

(2) 15 m/s

(3) 5 m/s

(4) 20 m/s

Answer :

Magnitude of relative velocity of car A with respect to B is 45 m/s.

Given :

Velocity of car A = 20m/s

Velocity of car B = 25m/s

To find :

Magnitude of relative velocity of car A with respect to B

Solution :

Let us consider the car A is traveling towards the left (be negative) and B is traveling towards the right (be positive).

Relative velocity of car A w.r.t B ,

Va/b = -20 - 25

= - 45 m/s (Negative sign indicates that this relative velocity is in backward direction)

Here the separation between car A and car B is increasing with time, hence the velocity of separation is 45m/s.

Hence, Magnitude of relative velocity of car A with respect to B is 45 m/s.

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