This question is not about physics science.
The answer is: option <span>a. Five-year-old children have longer attention spans than three-year-old children.
It is the attention ability what let the older children to stay longer in one location instead of being moving between different activities. The younger children who cannot keep their attention long time in a same activity entertain themselves by changing activities.
</span>
Answer:
Second drop: 1.04 m
First drop: 1.66 m
Explanation:
Assuming the droplets are not affected by aerodynamic drag.
They are in free fall, affected only by gravity.
I set a frame of reference with the origin at the nozzle and the positive X axis pointing down.
We can use the equation for position under constant acceleration.
X(t) = x0 + v0 * t + 1/2 * a *t^2
x0 = 0
a = 9.81 m/s^2
v0 = 0
Then:
X(t) = 4.9 * t^2
The drop will hit the floor when X(t) = 1.9
1.9 = 4.9 * t^2
t^2 = 1.9 / 4.9
![t = \sqrt{0.388} = 0.62 s](https://tex.z-dn.net/?f=t%20%3D%20%5Csqrt%7B0.388%7D%20%3D%200.62%20s)
That is the moment when the 4th drop begins falling.
Assuming they fall at constant interval,
Δt = 0.62 / 3 = 0.2 s (approximately)
The second drop will be at:
X2(0.62) = 4.9 * (0.62 - 1*0.2)^2 = 0.86 m
And the third at:
X3(0.62) = 4.9 * (0.62 - 2*0.2)^2 = 0.24 m
The positions are:
1.9 - 0.86 = 1.04 m
1.9 - 0.24 = 1.66 m
above the floor
Answer:
Explanation:
Given a square Piece whose side is 12 inches
Now square pieces are cut from each corner to make it a open box
Suppose x is the length of square piece at each corner
then
base square has a length of ![12-2x](https://tex.z-dn.net/?f=12-2x)
Dimension of new box is ![(12-2x)\times (12-2x)\times x](https://tex.z-dn.net/?f=%2812-2x%29%5Ctimes%20%2812-2x%29%5Ctimes%20x)
Volume ![V=(12-2x)\times (12-2x)\times x](https://tex.z-dn.net/?f=V%3D%2812-2x%29%5Ctimes%20%2812-2x%29%5Ctimes%20x)
![V=\left ( 12-2x\right )^2\cdot x](https://tex.z-dn.net/?f=V%3D%5Cleft%20%28%2012-2x%5Cright%20%29%5E2%5Ccdot%20x)
For maximum volume differentiate with respect to x we get
![\Rightarrow\frac{\mathrm{d} V}{\mathrm{d} x}=2\times \left ( 12-2x\right )\times \left ( -2\right )\cdot x+\left ( 12-2x\right )^2=0](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B%5Cmathrm%7Bd%7D%20V%7D%7B%5Cmathrm%7Bd%7D%20x%7D%3D2%5Ctimes%20%5Cleft%20%28%2012-2x%5Cright%20%29%5Ctimes%20%5Cleft%20%28%20-2%5Cright%20%29%5Ccdot%20x%2B%5Cleft%20%28%2012-2x%5Cright%20%29%5E2%3D0)
we get x=6 and 4 but at x=6 volume becomes zero therefore x=4 is valid
![V=\left ( 12-2\cdot 4\right )^2\cdot 4](https://tex.z-dn.net/?f=V%3D%5Cleft%20%28%2012-2%5Ccdot%204%5Cright%20%29%5E2%5Ccdot%204)
![V=4^3](https://tex.z-dn.net/?f=V%3D4%5E3)
![V=64\ in.^3](https://tex.z-dn.net/?f=V%3D64%5C%20in.%5E3)
The area of the United States that has the highest level of Average Daily Solar radiation by month would be:
A) the Gulf Coast.
B) the Great Lakes.
C) the Southwest.
<span>D) the Pacific Northwest.
If this is your question the answer is C. the southwest.</span>
<span>Objective Lenses: Usually you will find 3 or 4 objective lenses on a microscope. They almost always consist of 4X, 10X, 40X and 100X powers. When coupled with a10X (most common) eyepiece lens, we get total magnifications of 40X (4X times10X), 100X , 400X and 1000X.</span>