Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:
![t \propto y^{1/2}](https://tex.z-dn.net/?f=t%20%5Cpropto%20y%5E%7B1%2F2%7D)
![t = k\cdot t^{1/2}](https://tex.z-dn.net/?f=t%20%3D%20k%5Ccdot%20t%5E%7B1%2F2%7D)
Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:
![k = \frac{t}{y^{1/2}}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7Bt%7D%7By%5E%7B1%2F2%7D%7D)
If
and
, then:
![k = \frac{4\,s}{(78.4\,m)^{1/2}}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B4%5C%2Cs%7D%7B%2878.4%5C%2Cm%29%5E%7B1%2F2%7D%7D)
![k \approx 0.452\,\frac{s}{m^{1/2}}](https://tex.z-dn.net/?f=k%20%5Capprox%200.452%5C%2C%5Cfrac%7Bs%7D%7Bm%5E%7B1%2F2%7D%7D)
Then, the expression is
. Finally, if
, then the time is:
![t = 0.452\cdot (500\,m)^{1/2}](https://tex.z-dn.net/?f=t%20%3D%200.452%5Ccdot%20%28500%5C%2Cm%29%5E%7B1%2F2%7D)
![t \approx 10.107\,s](https://tex.z-dn.net/?f=t%20%5Capprox%2010.107%5C%2Cs)
The stone would take approximately 10.107 seconds to fall 500 meters.
Answer:
he can travel 495 km in 9 hr
distance covered in one hr = 275\5
55
distance covered in 9 hrs =495
Answer:
Step-by-step explanation:
I think you meant y = -2x + 5.
x y = -2x + 5
0 5
1 -2(1) + 5 = 3
2 -2(2) + 5 = 1
Note that every time you increase x by 1, y decreases by 2.
2.6 is the aswer.
Why?take the 2 number after the decimal the estimate
Answer:
16,32,48,64 and 60
Step-by-step explanation:
How to find a multiple:
Choose a number you want to find a multiple for and multiply it by continuing whole numbers.