Answer:
Sin = Sine
Cos = Cosine
Explanation:
Sin(θ) = Opposite/Hypotenuse
Cos(θ) = Adjacent/Hypotenuse
The graph below shows the position of an ant as it crawls over a flat picnic blanket. The total time for the ant to go from the start to the end position takes 1 minute and 45 seconds.
What is the average speed and average velocity of the ant?
A.) Average speed is 0.200 cm/s and average velocity is 0.0988 cm/s to the upper right.
B.) Average speed is 0.152 cm/s and average velocity is 0.910 cm/s to the upper right.
C.) Average speed is 0.975 cm/s and average velocity is 1.95 cm/s to the upper right.
D.) Average speed is 0.276 cm/s and average velocity is 0.136 cm/s to the upper right.
The average speed of the ant is 0.276 cm/s and the average velocity is 0.136 cm/s.
The correct answer is option D.
In the given graph, we can deduce the following;
the total time of the motion, = 1 mins + 45 s = 60 s + 45 s = 105 sThe average speed of the ant is calculated as;
[tex]average \ speed = \frac{total \ distance }{total \ time }[/tex]
The total distance from the graph is calculated as follows;
first horizontal distance from 2 cm to 8 cm = 8 - 2 = 6 cmfirst upward distance from 3 cm to 5 cm = 5 - 3 = 2 cmsecond horizontal distance from 8 cm to 6 cm = 8 - 6 = 2 cmsecond upward distance from 5 cm to 12 cm = 12 - 5 = 7 cmthird horizontal distance from 6 cm to 13 cm = 13 - 6 = 7 cmfourth downward distance from 12 cm to 9 cm = 3 cmfinal horizontal distance from 13 cm to 15 cm = 2cmThe total distance = (6 + 2 + 2 + 7 + 7 + 3 + 2) cm = 29 cm
[tex]average \ speed = \frac{total \ distance }{total \ time } = \frac{29 \ cm}{105 \ s} = 0.276 \ cm/s[/tex]
The average velocity is calculated as the change in displacement per change in time.
The displacement is the shortest distance between the start and end positions.
This shortest distance is the straight line connecting the start and end position. Call this line PFrom the end position at x = 15 cm, draw a vertical line from y = 9 cm, to y = 3 cm. The displacement = 9 cm - 3 cm = 6 cmAlso, draw a horizontal line from start at x = 2 cm to x = 15 cm. The displacement = 15 cm - 2 cm = 13 cmNotice, you have a right triangle, now calculate the length of line P.
↓end
↓
↓ 6cm
↓
start -------------13 cm------------
Use Pythagoras theorem to solve for P.
[tex]P^2 = 6^2 + 13^2\\\\P^2 = 36 + 169\\\\P^2 = 205\\\\P= \sqrt{205} \\\\P = 14.318 \ cm[/tex]
The average velocity of the ant is calculated as;
[tex]average \ velocity= \frac{\Delta displacemnt }{total\ time }= \frac{14.318 \ cm}{105 \ s} = 0.136 \ cm/s \\\\[/tex]
Thus, the average speed of the ant is 0.276 cm/s and the average velocity is 0.136 cm/s.
Learn more here: https://brainly.com/question/589950
Bắt đầu từ giá trị nào của động năng của các electron thì sai số về bước sóng de Broglie trong quá trình tính toán theo cổ điển sẽ vào cỡ 10%
Answer:
no idea what this means
Explanation:
yeah
Being willing to sincerely apologize for mistakes errors and blunders goes a long way toward
Answer:
All of the above ! Hope this helps! ♥
Explanation:
Being willing to sincerely apologize for mistakes, errors, and blunders goes a long way toward nurturing relationships with customers and retaining customers. Option (c) is correct.
What do you mean by Apology?Apology means to express regret for having done something that has caused another person problems or misery
Sincere apology aids in mending ties with those you've harmed. That may include coworkers, customers, friends, or family.
You can start a conversation with the other person by owning up to your error. You can then consider your actions and accept responsibility for them. Also, they can deal with their emotions, regain their composure, and refrain from taking responsibility for what transpired.
You may improve your behavior going forward, keep your dignity, and regain people's respect by apologizing.
Therefore, Option (c) is correct.
Learn more about Apology, here
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#SPJ6
Your question is incomplete, most probably the complete question will be;
Being willing to sincerely apologize for mistakes, errors, and blunders goes a long way toward:
Helping to learn from mistakes
Helping nurture the relationship with customers
Retaining customers
All of the above
A car is accelerating at 6 m/s2. How long would it take the car to go 12 m/s faster?
Answer:
2 seconds
Explanation:
Each second, it increases its speed by 6 m/s, so it will take 2 seconds for the speed to increase by 12 m/s.
The distance from Atlanta to Macon is about 80 miles out of 58.5° south of east. What distance is dues east and dues south mustyou drive in order to travel from Atlanta to Macon?
Answer:
One must drive [tex]$41 \cdot 8\,miles$[/tex] north and [tex]$68 \cdot 24\,miles$[/tex] south, in order to travel from Atlanta to Macon.
Explanation:
• The distance of an object can be defined as the complete path travelled by an object.
• To find the distance, find its north component.
• For reference see the below graph:
[tex]$$\[\begin{align}& D_{south} = 80\sin \left( {58 \cdot {5^ \circ }} \right) \\& D_{north} = 80\cos \left( {58 \cdot {5^ \circ }} \right) \\\end{align}\]$$Since, $\sin \left( {58 \cdot {5^ \circ }} \right) = \cdot 853$ and $\cos \left( {58 \cdot {5^ \circ }} \right) = \cdot 5224$: therefore,$$\[\begin{align} D_{south} &= 80 \times \left( { \cdot {{853}^ \circ }} \right) \\ \Rightarrow {D_{south}} &= 68 \cdot 24\,miles \\ \end{align}\]$$[/tex]
And
[tex]$$\[\begin{align} D_{north}& = 80 \times \cdot 5224 \\ \Rightarrow D_{north}& = 41 \cdot 8\,miles \\ \end{align}\]$$[/tex]
• Hence, one must drive [tex]$41 \cdot 8\,miles$[/tex] north and [tex]$68 \cdot 24\,miles$[/tex] south, in order to travel from Atlanta to Macon.
Learn more about distance here:
https://brainly.com/question/12356025
The primary coil of a transformer has 2650 volts and a current of 66 A. What current is in the secondary coil if it has 4700
volts?*
12 =
A
*Round your answer to the nearest thousandth if necessary.
Answer:
117.06 A
Explanation:
V = IR
2650 = 66(R)
2650/66 = R
40.15 = R
V = IR
4700 = I(40.15)
4700/40.15 = I
117.06 = I
find the final velocity of the initial velocity of 8m/s with an acceleration of 7 m/s2 over 3 second interval
Please find attached photograph for your answer. Hope it helps! Please do comment.
Bella makes the 2.5m distance to her food bowl in 9.1 seconds. What is her average velocity?
Average Velocity=Total Distance/Total Time
[tex]\\ \sf\longmapsto \dfrac{2.5}{9.1}[/tex]
[tex]\\ \sf\longmapsto 0.3m/s[/tex]
N2 + 3H2 + 2NH3
What type of reaction is this
Answer:It is a combination reaction; nitrogen and hydrogen combine to form ammonia
Explanation:
This is the reaction that is used to make ammonia from hydrogen and nitrogen. In this reaction, only one product is formed. Therefore, this reaction is known as a combination reaction.
A car accelerates from rest to 100 m/s in 20 s. What is its acceleration?
[tex]\\ \sf\longmapsto Acceleration=\dfrac{v-u}{t}[/tex]
[tex]\\ \sf\longmapsto Acceleration=\dfrac{100-0}{20}[/tex]
[tex]\\ \sf\longmapsto Acceleration=\dfrac{100}{20}[/tex]
[tex]\\ \sf\longmapsto Acceleration=5m/s^2[/tex]
Answer:
[tex]initial \: velocity \: = 0 \\ final \: velocity \: 100 \frac{m}{s} \\ time = 20 \\ here \: we \: want \: to \: find \: accelaration \\ accelaration \: = \frac{final \: velocity - initial \: velocity}{time} \\ accelaration \: = \frac{100 - 0}{20} = \frac{100}{20} = 5 \frac{m}{ {s}^{2} } \\ thank \: you[/tex]
A mountain climber at the peak ha ___________ energy.
A.gravitational potential
B. Elastic potential
C.Kinetic
