Final answer:
The speed of the image when the ball is 5 m from the mirror is approximately 0.3 m/s.
Step-by-step explanation:
To calculate the speed of the image, we can use the mirror equation:
1/object distance + 1/image distance = 1/focal length
Given that the object distance (u) is 5 m and the focal length (f) is 30 cm (0.3 m), we can plug these values into the equation to find the image distance (v).
Simplifying the equation, we have:
1/5 + 1/v = 1/0.3
Multiplying through by (5v), we get:
v + 5 = 16.6667v
Subtracting v from both sides, we have:
5 = 15.6667v
Dividing both sides by 15.6667, we get:
v ≈ 0.3 m/s
Therefore, the speed of the image when the ball is 5 m from the mirror is approximately 0.3 m/s.