The formulas used to analyze the horizontal and vertical motion of projectiles launched at an angle involve the use of tangent, cosine and sine.
<h3>
What is vertical motion of a projecile?</h3>
The vertical motion of a projectile is affected by gravity and the velocity of vertical motion given by the following formula;
Vy = Vsinθ
<h3>
What is horizontal motion of a projecile?</h3>
The horizontal velocity of a projectile is given by the following formula;
Vx = Vcosθ
<h3>Direction of the motion</h3>
The direction of the motion is calculated as follows;
tanθ = Vy/Vx
Thus, the formulas used to analyze the horizontal and vertical motion of projectiles launched at an angle involve the use of tangent, cosine and sine.
Learn more about vertical motion here: brainly.com/question/24216590
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To choose the correct box plot, verify each of the options and make sure all the values in the plot match the values provided.
<h3>How to identify the median?</h3>
In a box plot, this value is represented by a vertical line located in the middle of the graph.
<h3>How to identify the maximum and the minimum?</h3>
The maximum is the value located on the farthest right, while the minimum is located on the farthest left.
<h3>How to identify the quartiles?</h3>
Divide the graph into 4 and analyze how much each quartile represents.
Learn more about graphs in: brainly.com/question/16608196
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Answer:

and

Explanation:
See attached figure.
E due to sphere
E due to particule
(1)
according to the law of gauss and superposition Law:
; electric field due to the small sphere with r1=R/4


then:
(2)
on the other hand, for the particule:

⇒
(3)
We replace (2) y (3) in (1):


--------------------
if R<x<2R AND 

remember that 
then:

solving:


but: R<x<2R
so : 
Mass of a sample of gas doesn't change, no matter what happens to its pressure, volume, or temperature.