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ACT Exam  >  ACT Questions  >  A body A is moving in North direction, while ... Start Learning for Free
A body A is moving in North direction, while another body B is moving towards South. Velocity of A is greater than that of B. If North is taken as positive, which of the following relative velocities is positive?
  • a)
    Velocity of A with respect to B
  • b)
    Velocity of B with respect to A
  • c)
    Velocity of A with respect to ground
  • d)
    Velocity of B with respect to ground
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A body A is moving in North direction, while another body B is moving ...
The formula for relative velocity is, Vector VR = Vector VA – Vector VB. The velocity of A is greater in magnitude hence the relative velocity of A will be positive. The direction of the relative velocity will be Northwards.
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Most Upvoted Answer
A body A is moving in North direction, while another body B is moving ...
Explanation:

To analyze the relative velocities, we need to consider the velocities of the two bodies and the reference frame we are using.

Given information:
- Body A is moving in the North direction.
- Body B is moving in the South direction.
- Velocity of A is greater than that of B.
- North direction is taken as positive.

Relative velocities:

a) Velocity of A with respect to B:
- This refers to the velocity of A as observed from the point of view of B.
- Since A is moving in the North direction and B is moving in the opposite direction (South), the velocity of A with respect to B will be the sum of their individual velocities.
- In this case, A's velocity is positive (North) and B's velocity is negative (South).
- Therefore, the relative velocity of A with respect to B will be positive because the positive velocity of A exceeds the negative velocity of B.

b) Velocity of B with respect to A:
- This refers to the velocity of B as observed from the point of view of A.
- Since A is moving in the North direction and B is moving in the opposite direction (South), the velocity of B with respect to A will be the difference of their individual velocities.
- In this case, A's velocity is positive (North) and B's velocity is negative (South).
- Therefore, the relative velocity of B with respect to A will be negative because the negative velocity of B exceeds the positive velocity of A.

c) Velocity of A with respect to ground:
- This refers to the velocity of A as observed from the point of view of the ground, assuming that the ground is stationary.
- Since A is moving in the North direction and the ground is assumed to be stationary, the velocity of A with respect to the ground will be the same as its individual velocity, which is positive (North).

d) Velocity of B with respect to ground:
- This refers to the velocity of B as observed from the point of view of the ground, assuming that the ground is stationary.
- Since B is moving in the South direction and the ground is assumed to be stationary, the velocity of B with respect to the ground will be the same as its individual velocity, which is negative (South).

Therefore, the only relative velocity that is positive in this scenario is the velocity of A with respect to B.
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A body A is moving in North direction, while another body B is moving towards South. Velocity of A is greater than that of B. If North is taken as positive, which of the following relative velocities is positive?a)Velocity of A with respect to Bb)Velocity of B with respect to Ac)Velocity of A with respect to groundd)Velocity of B with respect to groundCorrect answer is option 'A'. Can you explain this answer?
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A body A is moving in North direction, while another body B is moving towards South. Velocity of A is greater than that of B. If North is taken as positive, which of the following relative velocities is positive?a)Velocity of A with respect to Bb)Velocity of B with respect to Ac)Velocity of A with respect to groundd)Velocity of B with respect to groundCorrect answer is option 'A'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A body A is moving in North direction, while another body B is moving towards South. Velocity of A is greater than that of B. If North is taken as positive, which of the following relative velocities is positive?a)Velocity of A with respect to Bb)Velocity of B with respect to Ac)Velocity of A with respect to groundd)Velocity of B with respect to groundCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body A is moving in North direction, while another body B is moving towards South. Velocity of A is greater than that of B. If North is taken as positive, which of the following relative velocities is positive?a)Velocity of A with respect to Bb)Velocity of B with respect to Ac)Velocity of A with respect to groundd)Velocity of B with respect to groundCorrect answer is option 'A'. Can you explain this answer?.
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