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If car A is at 40 km/h and car B is at 10 km/h in the opposite direction, what is the velocity of the car A relative to the car B?

  • a)
    40 km/h

  • b)
    50 km/h.

  • c)
    10 km/h

  • d)
    30 km/h

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If car A is at 40 km/h and car B is at 10 km/h in the opposite directi...
Taking the formula when both bodies are moving along opposite direction we have :


V(AB) =  V(A) -  V(B)  =  40 - (-10 ) = 50 km/hr


 


Hence the velocity of car A with respect to car B is 50 km/hr in opposite direction.
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Most Upvoted Answer
If car A is at 40 km/h and car B is at 10 km/h in the opposite directi...
Relative Velocity:

When two objects are in motion, their velocities are measured relative to each other. The velocity of an object is its speed and direction. If we want to find the relative velocity of two objects, we need to subtract their velocities.

Solution:

Here, car A is moving at 40 km/h and car B is moving in the opposite direction at 10 km/h. To find the relative velocity of car A with respect to car B, we need to subtract the velocity of car B from the velocity of car A.

Relative velocity of car A with respect to car B = Velocity of car A - Velocity of car B

Relative velocity of car A with respect to car B = 40 km/h - 10 km/h

Relative velocity of car A with respect to car B = 30 km/h

Therefore, the relative velocity of car A with respect to car B is 30 km/h. However, the question asks for the velocity of car A relative to car B, which means we need to add the velocities instead of subtracting them.

Velocity of car A relative to car B = Velocity of car A + Velocity of car B

Velocity of car A relative to car B = 40 km/h + 10 km/h

Velocity of car A relative to car B = 50 km/h

Hence, the correct answer is option B) 50 km/h.
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Community Answer
If car A is at 40 km/h and car B is at 10 km/h in the opposite directi...
Velocity of A - {-velocity of B} = 40+10 = 50kmph
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