A 2 cm tall object (an arrow) is positioned 3 m away from a concave mirror (f =

Question

A 2 cm tall object (an arrow) is positioned 3 m away from a concave mirror (f = 2 m, located at x = 10 m as shown. Draw all four of the principal rays emanating from the tip of the arrow. Use your drawing (no calculations are required) to answer the following questions.

12. [1pt]
Enter the y coordinates for the points where each of the four principal rays is reflected from the mirror. Enter the coordinates (in centimetres), from largest to smallest.

Correct, computer gets: 8, 2, 0, -4

13. [1pt]
Enter the coordinates for the tip of the arrow's image, x (in metres) and y (in centimetres).

Answer 1 of 2:

Answer 2 of 2:  

Explanation / Answer

f = focal length = 2 m

do = object distance = 3 m

di = image distance = X-Coordinate

using the mirror equation

1/f = 1/do + 1/di

1/2 = 1/3 + 1/di

di = 6 m

ho = object height = 2 cm

hi = image height = Y-coordinate

using the equation

hi/ho = - di /do

hi/2 = - 6 / 3

hi = - 4 cm

X = 6   , Y = -4

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