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igor_vitrenko [27]
2 years ago
11

A particle, initially 15 m from the origin and travelling at -2 ms), accelerates at a constant rate and ends up -20 m from the o

rigin and travelling at -5 ms?
What is its acceleration? ​
Mathematics
1 answer:
tigry1 [53]2 years ago
5 0

the general equation for velocity in terms of acceleration and displacement is: v² = v₀² + 2ax.

Solve for a: a = (v² - v₀²)/(2x).

You are given v₀ and v, and x is easy to calculate since you are given its initial and final values. The rest is just arithmetic.

(note also: SI expressions have a required space between the coefficient and the unit symbol. Thus you should have things such as “15 m” and “-2 m·sˉ¹” instead of “15m” and “-2m·sˉ¹”.)

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Calculate 1.6 ∙ 103 times 3.0 ∙ 10-6. (Box after the "10" in answer is for the exponent.)
Nutka1998 [239]
(1.6 * 10^3) * (3.0 * 10^-6) = 
(1.6 * 3.0) * (10^3 * 10^-6)
4.8 * 10^(3 - 6) =
4.8 * 10^-3 =
4.8 * 1/10^3 =
4.8 / 10^3 =
4.8 / 1000 =
0.0048 <==

7 0
3 years ago
Read 2 more answers
F(n)=4n-3 find the 15th term of the sequence defined by the explicit rule
Naddika [18.5K]

Answer:

Step-by-step explanation:

hello,

we need to evaluate f(15) so

f(15)=4*15-3=60-3=57

Hope this helps

7 0
3 years ago
A. 76°<br><br> B. 72°<br><br> C. 70°<br><br> D. 12°
Crank

Answer:measurement of angle B is

70 \:  \: degrees

<h3>Answer C is correct</h3>

Step-by-step explanation:

6x - 2 + 5x + 18 + 2x + 8 = 180 \\ 13x + 24 = 180 \\ 13x = 180 - 24 \\ 13x = 156 \\  \frac{13x}{13}  =  \frac{156}{13}  \\ x = 12 \:  \: degrees

7 0
3 years ago
Find the distance between the points.<br> (r, s) and (0, 0)
zhenek [66]

Answer:  \sqrt{r^2+s^2

=====================================================

Reason:

Plot the points (0,0) and (r,s). You can place (r,s) anywhere you want.

Connect the two points mentioned and form a right triangle such that the segment from (0,0) to (r,s) is the hypotenuse of said right triangle.

The horizontal leg has a length of r-0 = r units, while the vertical leg will be 's' units.

Check out the diagram below.

We then apply the pythagorean theorem to say r^2+s^2 = h^2 where h is the hypotenuse. Solving for h gets us h = \sqrt{r^2+s^2}. We only focus on the positive square root since a negative hypotenuse makes no sense.

Since we made the hypotenuse the segment with endpoints (r,s) and (0,0), this means the hypotenuse length and the distance are the same thing.

Therefore, the distance from (r,s) to (0,0) is \sqrt{r^2+s^2}

As an alternative, you can use the distance formula to get the same answer. The distance formula is effectively the pythagorean theorem phrased a different way.

5 0
2 years ago
A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
MrRa [10]

Answer:

8

Step-by-step explanation:

24 bottles = 16 dollars!

? bottles = 12 dollars

Note:

In these type of Questions, find out  any dollars you could get with 1 bottle

or in simple terms, (first find the unit Rate)

<em>24/16 = 1.5</em>

1 bottle = 1.5 dollars

? bottles = 12 Dollars?

12/1.5

= 8

<h2>I hope that helps! </h2><h3>Have a wonderful day! </h3>
8 0
3 years ago
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