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PolarNik [594]
3 years ago
15

What is the average acceleration of a southbound train that slows down from 15 m/s to 8.6 m/s in 1.2 s?

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

The average acceleration of train is 5.34\ m/s^2

Step-by-step explanation:

We have,

A train that slows down from 15 m/s to 8.6 m/s in 1.2 s. It means that 15 m/s is its initial velocity and 8.6 m/s is its final velocity.

It is required to find the average acceleration of the train.

a=\dfrac{v-u}{t}\\\\a=\dfrac{(8.6-15)\ m/s}{1.2\ s}\\\\a=-5.34\ m/s^2

The average acceleration of train is 5.34\ m/s^2.  Negative signs shows that the train is decelerating.

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Given u = ⟨2, –8⟩ and v = ⟨8, –2⟩, what is u · v?
Juliette [100K]

Answer:

I think it's C. 0

Step-by-step explanation:

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6 0
2 years ago
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A smuggler leaves a private airfield at 06:00 flying at a heading of N40E at 200km/h. The plane is detected by radar at the poli
gtnhenbr [62]

Answer:

Direction of the police plane = N57.1E

Speed of the police airplane = 255 km/h

Step-by-step explanation:

The diagram of the situation described is presented in the attached image to this question.

Let the distance the police airplane has to travel to intercept the smuggler at 08:30 be x km

The police airplane moves at 06:30 and plans to intercept the smuggler at 08:30; thereby travelling for 2 hours.

By 08:30, the smuggler would have travelled for 2 hours 30 mins, that is, 2.5 hours, travelling at 200 km/h, that is a total distance of 500 km covered.

So, the paths form a triangle.

Using cosine rule, we can obtain the distance, x, that the police airplane has to travel to intercept the smuggler at 08:30.

x² = 150² + 500² - (2×150×500×cos 85°)

x² = 259,426.63858785

x = 509.34 km

We can obtain the direction, Φ, by finding the angle θ using some rule.

[(Sin 85°)/509.34] = [(Sin θ)/500]

Sin θ = (500 × sin 85°)/509.34 = 0.9779 = 77.94°

From the attached image,

Φ + θ = 90° + 45° = 135°

Φ = 135° - θ = 135° - 77.94° = 57.06° = 57.1°

Therefore,

Speed of police airplane = (distance)/(time) = (509.34/2) = 254.67 km/h = 255 km/h

Direction of the police plane = N57.1E

Hope this Helps!!!

5 0
3 years ago
Tìm nghiệm tổng quát của các phương trình<br> y"+2y'-3y=0
Ulleksa [173]

Answer:

y € R i guess

Step-by-step explanation:

I hope it correct

7 0
2 years ago
__________ is defined as permission or approval. A. charter B. consent C. assembly D. diplomacy Please select the best answer fr
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Answer:

B. Consent

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A simple google search can provide the fact the definition of consent, but in all honesty most people should know without such a search.

4 0
2 years ago
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Frank works as a waiter and as a busser. He earns $12 per hour as a waiter and $10 per hour as a busser. Last week, Frank worked
DedPeter [7]

Frank worked 25 hours as a waiter last week.

<h2>Simultaneous equation</h2>
  • Let the time spent as a waiter be x
  • Leet the total time spent as a busser be y

If<u> Frank worked both jobs f</u>or a total of 36 hours, hence:

x + y = 36

x = 36 - y

Also, if he earns $12 per hour as a waiter and $10 per hour as a busser and earned a total of $410, then;

12x + 10y = 410

Substitute 1 into 2

12x + 10y = 410

12(36 - y)+ 10y = 410

432 -12y + 10y = 410

-2y = -22

y = 11

Since x = 36 - y

x = 36 - 11

x = 25

Hence frank worked 25 hours as a waiter last week.

Learn more in simultaneous equation here: brainly.com/question/16863577

8 0
2 years ago
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