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CGP EDU Academic Team
Published on: September 12, 2026
A point object is moving with a speed of 10 m/s infront of a mirror moving with a speed of 3 m/s as shown in fig. Find the velocity of image of the object with respect to mirror, object and ground.

Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Define the velocities involved. Let:
- Velocity of the object (vo) = 10 m/s (towards the mirror)
- Velocity of the mirror (vm) = 3 m/s (towards the object)
Step 2: Calculate the velocity of the image with respect to the ground. The image moves in the opposite direction of the object and mirror velocities.
Using the formula for the velocity of the image (vi):
$$ v_i = v_o + v_m $$
Substituting the known values:
$$ v_i = 10 ext{ m/s} + 3 ext{ m/s} = 13 ext{ m/s} $$
Step 3: Calculate the velocity of the image with respect to the mirror:
Since the mirror is moving towards the object, the relative velocity of the image with respect to the mirror (vim) is:
$$ v_{im} = v_i - v_m $$
Substituting the values:
$$ v_{im} = 13 ext{ m/s} - 3 ext{ m/s} = 10 ext{ m/s} $$
Step 4: The velocity of the object with respect to the mirror (vom):
$$ v_{om} = v_o - v_m = 10 ext{ m/s} - 3 ext{ m/s} = 7 ext{ m/s} $$
Final Conclusion: The results are:
- Velocity of image with respect to ground: 13 m/s
- Velocity of image with respect to mirror: 10 m/s
- Velocity of object with respect to mirror: 7 m/s
Therefore, the answer is the combined speed of the image relative to all components.
- Velocity of the object (vo) = 10 m/s (towards the mirror)
- Velocity of the mirror (vm) = 3 m/s (towards the object)
Step 2: Calculate the velocity of the image with respect to the ground. The image moves in the opposite direction of the object and mirror velocities.
Using the formula for the velocity of the image (vi):
$$ v_i = v_o + v_m $$
Substituting the known values:
$$ v_i = 10 ext{ m/s} + 3 ext{ m/s} = 13 ext{ m/s} $$
Step 3: Calculate the velocity of the image with respect to the mirror:
Since the mirror is moving towards the object, the relative velocity of the image with respect to the mirror (vim) is:
$$ v_{im} = v_i - v_m $$
Substituting the values:
$$ v_{im} = 13 ext{ m/s} - 3 ext{ m/s} = 10 ext{ m/s} $$
Step 4: The velocity of the object with respect to the mirror (vom):
$$ v_{om} = v_o - v_m = 10 ext{ m/s} - 3 ext{ m/s} = 7 ext{ m/s} $$
Final Conclusion: The results are:
- Velocity of image with respect to ground: 13 m/s
- Velocity of image with respect to mirror: 10 m/s
- Velocity of object with respect to mirror: 7 m/s
Therefore, the answer is the combined speed of the image relative to all components.
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