Answer:
<em>The data set marked as B has the largest standard deviation</em>
Explanation:
<u>Standard Deviation</u>
It's a number used to show how a set of measurements is spread out from the average value. A low standard deviation means that most of the values are close to the average. A high standard deviation means that the numbers are more spread out.
The formula for the standard deviation is

Where
is the value of each measurement, n is the number of elements in the set, and
is the average or media of the values, defined as

Let's analyze each set of data:
A.3,4,3,4,3,4,3
The average is

Computing the stardard deviation:


B.1,6,3,15,4,12,8
The average is

Computing the stardard deviation:


C. 20, 21,23,19,19,20,20
The average is

Computing the stardard deviation:


D.12,14,13,14,12,13,12
The average is

Computing the stardard deviation:


We can see the data set marked as B has the largest standard deviation
Electromagentic waves can travel through space. they don't require any medium.
Answer:
V = 49.05 [m/s]
Explanation:
We can easily find the result using kinematics equations, first, we will find the distance traveled during the 5 seconds.

where:
Yo = initial position = 0
y = final position [m]
Vo = initial velocity = 0
t = time = 5 [s]
g = gravity aceleration = 9.81 [m/s^2]
The initial speed is zero, as the body drops without imparting an initial speed. Therefore:
y = 0 + (0*5) + (0.5*9.81*5^2)
y = 122.625[m]
Now using the following equation we can find the speed it reaches during the 5 seconds.
![v_{f} ^{2}= v_{i} ^{2}+(2*g*y)\\v_{f}=\sqrt{2*9.81*122.625} \\v_{f}=49.05 [m/s]](https://tex.z-dn.net/?f=v_%7Bf%7D%20%5E%7B2%7D%3D%20v_%7Bi%7D%20%5E%7B2%7D%2B%282%2Ag%2Ay%29%5C%5Cv_%7Bf%7D%3D%5Csqrt%7B2%2A9.81%2A122.625%7D%20%5C%5Cv_%7Bf%7D%3D49.05%20%5Bm%2Fs%5D)
Answer:

Explanation:
given,
mass of the cart 1, m₁ = 310 g
speed of car 1 , v₁ = 1.25 m/s
mass of cart 2, m₂ = 260 g
speed of cart 2, v₂ = -1.33 m/s
speed of center of mass




Hence, speed of center of mass of the system is equal to 0.0732 m/s
Answer:
Kinematics, branch of physics and a subdivision of classical mechanics concerned with the geometrically possible motion of a body or system of bodies without consideration of the forces involved (i.e., causes and effects of the motions).
Explanation:
*This answer came from https://www.britannica.com/science/kinematics