Answer:
The final velocity of the object after 2 seconds is 30 m/s
Explanation:
Given;
constant downward acceleration, a = 10 m/s²
initial velocity of the object falling down, v = 10 m/s
time of fall, t = 2 s
The final velocity of the object is given by;
v = u + at
where;
v is the final velocity
v = 10 + (10)(2)
v = 10 + 20
v = 30 m/s
Therefore, the final velocity of the object after 2 seconds is 30 m/s
Step by step solution :
standard deviation is given by :
![\sigma = \sqrt\dfrac{{\sum (x-\bar{x})^2}}{n}](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%5Cdfrac%7B%7B%5Csum%20%28x-%5Cbar%7Bx%7D%29%5E2%7D%7D%7Bn%7D)
where,
is standard deviation
is mean of given data
n is number of observations
From the above data, ![\bar{x}=24.88](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D24.88)
Now, if
, then ![(x-\bar{x})^2=0.0064](https://tex.z-dn.net/?f=%28x-%5Cbar%7Bx%7D%29%5E2%3D0.0064)
If
, then ![(x-\bar{x})^2=0.9604](https://tex.z-dn.net/?f=%28x-%5Cbar%7Bx%7D%29%5E2%3D0.9604)
if
, then ![(x-\bar{x})^2=1.4884](https://tex.z-dn.net/?f=%28x-%5Cbar%7Bx%7D%29%5E2%3D1.4884)
If
, then ![(x-\bar{x})^2=0.0484](https://tex.z-dn.net/?f=%28x-%5Cbar%7Bx%7D%29%5E2%3D0.0484)
If
, then ![(x-\bar{x})^2=0.1444](https://tex.z-dn.net/?f=%28x-%5Cbar%7Bx%7D%29%5E2%3D0.1444)
so, ![\sum (x-\bar{x})^2 =\frac{0.0064+0.9604+1.4884+0.0484+0.1444}{5}](https://tex.z-dn.net/?f=%5Csum%20%28x-%5Cbar%7Bx%7D%29%5E2%20%3D%5Cfrac%7B0.0064%2B0.9604%2B1.4884%2B0.0484%2B0.1444%7D%7B5%7D)
![\sum (x-\bar{x})^2 =2.648](https://tex.z-dn.net/?f=%5Csum%20%28x-%5Cbar%7Bx%7D%29%5E2%20%3D2.648)
![\sqrt{\sum \frac{(x-\bar{x})^2}{n}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Csum%20%5Cfrac%7B%28x-%5Cbar%7Bx%7D%29%5E2%7D%7Bn%7D%7D)
![\sigma =0.7277](https://tex.z-dn.net/?f=%5Csigma%20%3D0.7277)
No, Joe's value does not agree with the accepted value of 25.9 seconds. This shows a lots of errors.
Answer:
h = 22.35 m
Explanation:
given,
initial speed of the rock,u = 0 m/s
length of the window,l = 2.7 m
time taken to cross the window,t = 0.129 s
Speed of the rock when it crosses the window
![v = \dfrac{l}{t}](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7Bl%7D%7Bt%7D)
![v = \dfrac{2.7}{0.129}](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7B2.7%7D%7B0.129%7D)
v = 20.93 m/s
height of the building above the window
using equation of motion
v² = u² + 2 g h
20.93² = 0² + 2 x 9.8 x h
h = 22.35 m
Hence, the height of the building above the top of window is equal to h = 22.35 m
Answer:
25 to the right
Explanation:
there you go friend your awsome
The glandular epithelial tissues make up the liver.