Final answer:
The image distance is 30cm and the magnification is -1.
Step-by-step explanation:
Given that the object is located 30cm in front of a concave mirror with a focal length of 15cm, we can find the location of the image and its magnification. We can use the mirror equation, 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance.
Plugging in the values, we get 1/15 = 1/30 + 1/di. Simplifying the equation gives 1/di = 1/15 - 1/30 = (2 - 1)/30 = 1/30. Therefore, the image distance is 30cm.
The magnification can be found using the magnification formula, m = -di/do, where m is the magnification. Plugging in the values, we get m = -30/30 = -1. Therefore, the magnification is -1.
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