Pencil Reflection #1

Classical Mechanics Level 2

A pencil of length 5 is placed at a distance of 10 in front of a parabolic, concave mirror modeled by the equation ( y − 4 ) 2 = 36 ( x + 3 ) . (y-4)^2=36(x+3).

At what x x -coordinate will an image be formed, and by what degree m m (how many times) will the pencil be magnified?

Note: The pencil is upright directly in front of the mirror.

x = 87 ; m = 3 x=87;m=3 x = 87 ; m = 9 x=87;m=9 x = 90 ; m = 9 x=90;m=9 x = 90 ; m = 45 x=90;m=45

Charley Shi by Charley Shi , 19, New Zealand

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