C

To solve the problem involving a moving mirror and a moving object, we will use the principles of relative motion.
Step 1: Determine the velocities involved:
- Speed of point object (v_object) = 10 m/s
- Speed of mirror (v_mirror) = 3 m/s
Step 2: Calculate the velocity of the image w.r.t. mirror:
The relative velocity of the image with respect to the mirror can be calculated using the formula:
v_image/mirror = v_object + v_mirror = 10 m/s + 3 m/s = 13 m/s.
Step 3: Calculate the velocity of image w.r.t. the object:
v_image/object = v_mirror - v_object = 3 m/s - 10 m/s = -7 m/s (indicating it moves in the opposite direction).
Step 4: Calculate the velocity of the image w.r.t. the ground:
Assuming the mirror is moving towards the object, we have: v_image/ground = v_mirror + v_object = 3 m/s + 10 m/s = 13 m/s.
Step 5: Calculate the velocity of the object w.r.t. ground:
Since the object is also moving, its velocity will be simple: v_{object/ground} = 10 m/s.
Final Answers:
(i) velocity of image w.r.t. mirror = 13 m/s
(ii) velocity of image w.r.t. object = -7 m/s
(iii) velocity of image w.r.t. ground = 13 m/s
(iv) velocity of object w.r.t. ground = 10 m/s
From the calculations, therefore, the correct answer from Column II that matches is: (C) (5 + 3 - 3) m/s = 5 m/s.