Cutting down the forest reduces the size of animal habitats, increases erosion, and results in an increase in the amount of carb
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<h2>Answer: 10.52m</h2><h2 />
First, we have to establish the <u>reference system</u>. Let's assume that the building is on the negative y-axis and that the brick was thrown at the origin (see figure attached).
According to this, the initial velocity has two components, because the brick was thrown at an angle
:
(1)
(2)
(3)
(4)
As this is a projectile motion, we have two principal equations related:
<h2>In the x-axis: </h2> (5)
Where:
is the distance where the brick landed
is the time in seconds
If we already know and
, we have to find the time (we will need it for the following equation):
(6)
(7)
(8)
Where:
is the height of the building (<u>in this case it has a negative sign because of the reference system we chose)</u>
is the acceleration due gravity
Substituting the known values, including the time we found on equation (7) in equation (8), we will find the height of the building:
(9)
(10)
Multiplying by -1 each side of the equation:
>>>>This is the height of the building
Note: I assume the mirror is concave, so that its focal length is positive (it is not specified in the text)
1a) We can use the mirror equation to find the distance of the image from the mirror:
where
is the focal length
is the distance of the object from the mirror
is the distance of the image from the mirror.
Rearranging the equation, we find
so, the distance of the image from the mirror is
.
1b) The image height is given by the magnification equation:
where
is the heigth of the image and 
is the height of the object. By rearranging the equation and using p and q, we find
and the negative sign means the image is inverted.
2) As before, we can find the distance of the image from the mirror by using the mirror equation:
Rearranging it, we find
so, the distance of the image from the mirror is
3) As before, we find the distance of the image from the mirror by using the mirror equation:
Rearranging it, we find
so, the distance of the image from the mirror is
And now we can use the magnification equation to find the image height:
Rearranging it, we find
and the negative sign means the image is inverted.
1a) We can use the mirror equation to find the distance of the image from the mirror:
where
Rearranging the equation, we find
so, the distance of the image from the mirror is
1b) The image height is given by the magnification equation:
where
and the negative sign means the image is inverted.
2) As before, we can find the distance of the image from the mirror by using the mirror equation:
Rearranging it, we find
so, the distance of the image from the mirror is
3) As before, we find the distance of the image from the mirror by using the mirror equation:
Rearranging it, we find
so, the distance of the image from the mirror is
And now we can use the magnification equation to find the image height:
Rearranging it, we find
and the negative sign means the image is inverted.