I think it would be Newton’s second law
It should be Constant speed. The line goes straight & doesn’t change within the graph.
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)
According to Newton's Second Law of Motion, the net force experienced by the system is equal to the mass of the system in question times the acceleration in motion. In this case, the net force is the difference of gravitational force and the force experience by the motion of the airplane. This difference is already given to be 210 N.
Net force = ma
210 N = (73 kg)(a)
a = +2.92 m/s²
Thus, the acceleration of the airplane's motion is 2.92 m/s² to the positive direction which is upwards.