Answer:
Points downward, and its magnitude is 9.8 m/s^2
Explanation:
The motion of a projectile consists of two independent motions:
- A uniform horizontal motion, with constant velocity and zero acceleration. In fact, there are no forces acting on the projectile along the horizontal direction (if we neglect air resistance), so the acceleration along this direction is zero.
- A vertical motion, with constant acceleration g = 9.8 m/s^2 towards the ground (downward), due to the presence of gravity wich "pulls" the projectile downward.
The total acceleration of the projectile is given by the resultant of the horizontal and vertical components of the acceleration. But we said that the horizontal component is zero, therefore the total acceleration corresponds just to its vertical component, therefore it is a vector with magnitude 9.8 m/s^2 which points downward.
Answer:
plants depend on animals for CO2 (to use during photosynthesis) while animals depend on plants for food (consumation)
Explanation:
It might be 4.0 or 2.22344 seconds as velocity speed
Answer:
![\displaystyle F=\frac{9}{5}C+32](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%3D%5Cfrac%7B9%7D%7B5%7DC%2B32)
![\displaystyle C=\frac{5}{9}(F-32)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20C%3D%5Cfrac%7B5%7D%7B9%7D%28F-32%29)
Explanation:
<u>Temperature Units Conversion
</u>
The conversion formula between Celsius and Fahrenheit temperature scales is well-known. But we'll use the provided data to derive the formula. Let's model the relationship between Fahrenheit (F) and Celsius (C) as a linear function like
![F=mC+b](https://tex.z-dn.net/?f=F%3DmC%2Bb)
Where m and b must be computed according to the pair of conditions given. The values for each temperature scale are (C,F)=(0,32) and (100,212). Replacing the first value
![32=m\times 0+b](https://tex.z-dn.net/?f=32%3Dm%5Ctimes%200%2Bb)
It means that
![b=32](https://tex.z-dn.net/?f=b%3D32)
By using the second point
![212=m\times 100+32](https://tex.z-dn.net/?f=212%3Dm%5Ctimes%20100%2B32)
Solving for m
![\displaystyle m=\frac{212-32}{100}=\frac{180}{100}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B212-32%7D%7B100%7D%3D%5Cfrac%7B180%7D%7B100%7D)
Simplifying
![\displaystyle m=\frac{9}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B9%7D%7B5%7D)
So, the conversion formula is
![\displaystyle F=\frac{9}{5}C+32](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%3D%5Cfrac%7B9%7D%7B5%7DC%2B32)
Which is the widely known formula for temperature conversion
Solving for C, we get the inverse relation
![\boxed{\displaystyle C=\frac{5}{9}(F-32)}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdisplaystyle%20C%3D%5Cfrac%7B5%7D%7B9%7D%28F-32%29%7D)