The answer to your question is true.
The source of information was biased. It was like walking along a river bank in the country and asking everybody you meet whether they like fishing. Or asking 500 people sitting in the bleachers whether they like baseball.
I'm sure the scientist would have gotten different data if she interviewed 500 teenagers at neighborhood basketball courts, or 500 teenagers at a rock concert.
Hold on and let's discuss this realistically.
Because of gravity, there are two forces between the Earth and me. One draws me toward the Earth. The strength of that force is what I call my "weight". The other force draws the Earth toward me, and has the same strength.
The strength of these forces depends on the masses of the Earth and me. If the strength just tripled, that means that at least one of us just picked up a lot more mass. If the Earth suddenly became three times as massive, then the weight of everything and everybody on it would suddenly triple, and I'm pretty sure it would be the end of all of us before too long.
If it was only MY mass that suddenly tripled, that would mean that I had gone tearing through my house and the neighbour's house, eating everything in sight including the 2 couches, 3 dogs, and 6 TVs. Naturally, just as you would expect, my weight changed from 207 to 621, and my skin is stretched really tight.
ooohhh
FMRI creates the images or brain maps of brain functioning by setting up and utilizing an advanced MRI scanner in such a way that increased blood flow to the activated areas of the brain shows up on the MRI scan. The MRI scanners do not actually detect blood flow or other metabolic processes.
Answer:
∆h = 0.071 m
Explanation:
I rename angle (θ) = angle(α)
First we are going to write two important equations to solve this problem :
Vy(t) and y(t)
We start by decomposing the speed in the direction ''y''
![sin(\alpha) = \frac{Vyi}{Vi}](https://tex.z-dn.net/?f=sin%28%5Calpha%29%20%3D%20%5Cfrac%7BVyi%7D%7BVi%7D)
![Vyi = Vi.sin(\alpha ) = 9.2 \frac{m}{s} .sin(46) = 6.62 \frac{m}{s}](https://tex.z-dn.net/?f=Vyi%20%3D%20Vi.sin%28%5Calpha%20%29%20%3D%209.2%20%5Cfrac%7Bm%7D%7Bs%7D%20.sin%2846%29%20%3D%206.62%20%5Cfrac%7Bm%7D%7Bs%7D)
Vy in this problem will follow this equation =
![Vy(t) = Vyi -g.t](https://tex.z-dn.net/?f=Vy%28t%29%20%3D%20Vyi%20-g.t)
where g is the gravity acceleration
![Vy(t) = Vyi - g.t= 6.62 \frac{m}{s} - (9.8\frac{m}{s^{2} }) .t](https://tex.z-dn.net/?f=Vy%28t%29%20%3D%20Vyi%20-%20g.t%3D%206.62%20%5Cfrac%7Bm%7D%7Bs%7D%20-%20%289.8%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%20%7D%29%20.t)
This is equation (1)
For Y(t) :
![Y(t)=Yi+Vyi.t-\frac{g.t^{2} }{2}](https://tex.z-dn.net/?f=Y%28t%29%3DYi%2BVyi.t-%5Cfrac%7Bg.t%5E%7B2%7D%20%7D%7B2%7D)
We suppose yi = 0
![Y(t) = Yi +Vyi.t-\frac{g.t^{2} }{2} = 6.62 \frac{m}{s} .t- 4.9\frac{m}{s^{2} } .t^{2}](https://tex.z-dn.net/?f=Y%28t%29%20%3D%20Yi%20%2BVyi.t-%5Cfrac%7Bg.t%5E%7B2%7D%20%7D%7B2%7D%20%3D%206.62%20%5Cfrac%7Bm%7D%7Bs%7D%20.t-%204.9%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%20%7D%20.t%5E%7B2%7D)
This is equation (2)
We need the time in which Vy = 0 m/s so we use (1)
![Vy (t) = 0\\0=6.62 \frac{m}{s} - 9.8 \frac{m}{s^{2} } .t\\t= 0.675 s](https://tex.z-dn.net/?f=Vy%20%28t%29%20%3D%200%5C%5C0%3D6.62%20%5Cfrac%7Bm%7D%7Bs%7D%20-%209.8%20%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%20%7D%20.t%5C%5Ct%3D%200.675%20s)
So in t = 0.675 s → Vy = 0. Now we calculate the y in which this happen using (2)
![Y(0.675s) = 6.62\frac{m}{s}.(0.675s)-4.9 \frac{m}{s^{2} } .(0.675s)^{2} \\Y(0.675s) =2.236 m](https://tex.z-dn.net/?f=Y%280.675s%29%20%3D%206.62%5Cfrac%7Bm%7D%7Bs%7D.%280.675s%29-4.9%20%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%20%7D%20%20.%280.675s%29%5E%7B2%7D%20%5C%5CY%280.675s%29%20%3D2.236%20m)
2.236 m is the maximum height from the shell (in which Vy=0 m/s)
Let's calculate now the height for t = 0.555 s
![Y(0.555s)= 6.62 \frac{m}{s} .(0.555s)-4.9\frac{m}{s^{2} } .(0.555s)^{2} \\Y(0.555s) = 2.165m](https://tex.z-dn.net/?f=Y%280.555s%29%3D%206.62%20%5Cfrac%7Bm%7D%7Bs%7D%20.%280.555s%29-4.9%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%20%7D%20.%280.555s%29%5E%7B2%7D%20%5C%5CY%280.555s%29%20%3D%202.165m)
The height asked is
∆h = 2.236 m - 2.165 m = 0.071 m