A train is traveling at a speed of 80 km/h when the conductor applies the brakes. The train slows with a constant acceleration of magnitude .5 m/s^2. We want to find the distance the train travels from the time the brakes are applied until the train comes to a complete stop. Which kinematic formula would be most useful to solve for the target unknown?

Answers

Answer 1

Answer:

The train will travel 493.817 meters until it stops completely.

Step-by-step explanation:

In this case, we know that train applies the brakes and decelerates at constant rate until rest is reached after travelling an unknown distance. Travelled distance ([tex]\Delta s[/tex]), measured in meters, can be found by using this kinematic formula:

[tex]v^{2} = v_{o}^{2}+2\cdot a \cdot \Delta s[/tex] (Eq. 1)

Where:

[tex]v_{o}[/tex] - Initial speed, measured in meters per second.

[tex]v[/tex] - Final speed, measured in meters per second.

[tex]a[/tex] - Acceleration, measured in meters per square second.

Now travelled distance is cleared within the formula:

[tex]\Delta s = \frac{v^{2}-v_{o}^{2}}{2\cdot a}[/tex]

If we know that [tex]v_{o} = 22.222\,\frac{m}{s}[/tex], [tex]v = 0\,\frac{m}{s}[/tex] and [tex]a = -0.5\,\frac{m}{s^{2}}[/tex], then the distance travelled by the train is:

[tex]\Delta s = \frac{\left(0\,\frac{m}{s} \right)^{2}-\left(22.222\,\frac{m}{s} \right)^{2}}{2\cdot \left(-0.5\,\frac{m}{s^{2}}\right) }[/tex]

[tex]\Delta s = 493.817\,m[/tex]

The train will travel 493.817 meters until it stops completely.

Answer 2

Answer:

v² = v²0 + 2aΔx

Step-by-step explanation:


Related Questions

pls answer i will mark u brainlist

Answers

If you need help I would try to use a different website such as khan academy. I know this isn’t the answer, but I would appreciate brainljst for my advice

70200 NC)
Demarcus will be 21 years old when he graduates. It is mean weekly wage over his career is $1.258.00 what will his lifetime earnings be when he retires at the age of 62? (1 point)
$1371 532.00
$287779200
$3.572132.00
$4049344.00

Answers

Step-by-step explanation:

Her life term earnings will be 4049344.00 dollars

all four sides of the baseball diamond are 90 ft long.

if you ran in a straight line from first base to third base, what would the distance be rounded to the nearest whole number?

a. 13 feet
b. 16,200 feet
c. 127 feet
d. 180 ft

Answers

Answer:

d. 180 ft

Step-by-step explanation:

Answer:

well that will be 180ft

Step-by-step explanation:

Cesar y Ana reciben uuna cuerda de igual longitud.Cesar corta 40/100 de su cuerda para jalar un paquete mientras que Ana corta 9/25 para amarrar dos maletas¿quien usa mayor longitud de cuerda?,justifica

Answers

César ha cortado el segmento de cuerda de mayor longitud para amarrar una maleta.

Cómo determinar el segmento más largo utilizado de cuerdas

Una fracción es un número real formado por dos números enteros, un numerador y un denominador, respectivamente.

En esta pregunta debemos determinar quien tiene la mayor longitud de cuerda y para ello debemos aplicar propiedades tal que ambas fracciones tengan el mismo denominador. En consecuencia, la persona que tendría la mayor fracción tendría además el mayor numerador. A continuación, procedemos a realizar las siguientes operaciones:

40/100, 9/25

Al dividir cada término de la primera fracción por 4, tenemos lo siguiente:

10/25, 9/25

Por tanto, César ha cortado el segmento de cuerda de mayor longitud para amarrar una maleta. [tex]\blacksquare[/tex]

Para aprender más sobre fracciones, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/24570029

4. What is the value of b in the triangle shown below?
(1 point)
3b
24 in.?
b
0-4 in
04 in
0 =4 in
O no solution

Answers

Answer:

4 inches

Step-by-step explanation:

[tex]24 = \frac{1}{2} (b)(3b) \\ \\ \implies \: 24(2) = 3 {b}^{2} \\ \\ \implies \: 48 = 3 {b}^{2} \\ \\ \implies \: \frac{48}{3} = {b}^{2} \\ \\ \implies \: {b}^{2} = 16 \\ \\ \implies \: {b} = \pm\sqrt{16} \\ \\ \implies \: {b} = \pm \: 4 \\ \because \: b \: is \: side \: length \\ so \: its \: value \: cant \: be \: negative. \\ \implies \: b = 4 \: in[/tex]

The mean of 3 numbers is 4. 2 of the numbers are 1 and 9
What is the third number

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{a+b+c}3}= 4\\[/tex]

multiply both sides by 3

a+b+c=12

substitute the values we have

1+9+c=12

10+c=12

-10     -10

c=2

so the third number is 2

hope this helped you !

please help thank you

Answers

Answer:

goofy

Step-by-step explanation:

solve the inequality and tell weather it has infinite or no solutions
[tex]0.5x+8\ \textless \ 2x-4[/tex]

Answers

X>8 infinite solutions

I would appreciate a lot if y’all help me!

Answers

Answer:

Deductive reasoning

Step-by-step explanation:

The equation f = v + at represent the final velocity of an object f with an initial velocity v and an acceleration rate a overtime t. which is an equivalent equation solved for t​

Answers

Answer:

t = f-v/a (First choice)

Explanation:

step by step:

1) f = v + at

2) f - v = v - v + at

3) f - v = at

4) f - v / a = at / a

5) f - v / a = t

6) t = f - v / a

PlS can anyone help me ASAP

Answers

Answer:

yo what is that

Step-by-step explanation:

Is (6, 1) a solution to the equation y = 5x?

Answers

Answer:

False, but depends on…

Step-by-step explanation:

If you are dealing with x and y-intercepts, or slopes, then no. The answers wouldn't be in the given format. If you're looking for a coincidence, then it could be a solution. Hope this helps!

Hey I really need help with metric conversions test is tomorrow.

Answers

I would love to help you!
I will help you anyday

Owen measured a line to be 17.9 inches long. If the actual length of the line is 17.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

0.6%

Step-by-step explanation:

Percent Error = the absolute value of (actual value observed-expected value)/(expected value) x100%

(17.8-17.9)/(17.9) = -0.006

Absolute value is 0.006

0.006 times 100% equals 0.6%

The percent error of the measurement in the length is 10%.

What is percent error in measurement?Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage.

Given is that Owen measured a line to be 17.9 inches long. The actual length of the line is 17.8 inches.

We can calculate the percentage error as -

%e = {(A.V. - E.V.)/(A.V.)} x 100

%e = (17.9 - 17.8) x 100

%e = 0.1 x 100

%e = 10%

Therefore, the percent error of the measurement in the length is 10%.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Which of these descriptions would NOT guarantee that the figure is a parallelogram?

A) A quadrilateral with consecutive angles supplementary.
B) A quadrilateral with diagonals bisecting each other.
C) A quadrilateral with both pairs of opposite sides congruent.
D) A quadrilateral with one pair of opposite sides parallel

Answers

Answer:

  D) A quadrilateral with one pair of opposite sides parallel

Step-by-step explanation:

Choice D matches the description of a trapezoid, not a parallelogram. That description will not guarantee the figure is a parallelogram.

Explain how to solve the equation.
g/4=24

Part 1
Select the correct choice below and fill in the answer box within your choice.
​(Type a whole​ number.)
A.Divide both sides by

B.Subtract from both sides.

C.Multiply both sides by

D.Add to both sides.

Answers

Answer:

C. Multiply both sides by 4.

Step-by-step explanation:

You are isolating the variable, g, and so you will do the opposite of all operations that occurs with the variable, g.

Note the equal sign, what you do to one side, you would do to the other. Isolate the variable, g, by multiplying 4 to both sides of the equation:

[tex]\frac{g}{4} * 4 = 24 * 4[/tex]

[tex]g = 24 * 4[/tex]

[tex]g = 96[/tex]

~

Al and Betty want to create a playlist of songs for their drive back and forth to school. Since Al and Betty have different tastes in music, they decide to compromise by only playing Al’s favorite rap and Betty’s favorite pop music that they can both agree upon.

Betty wants to include at least as many pop songs as rap songs. Al, in return, wants to include at least five rap songs. To provide enough variety to make the playlist interesting, they decide to include at least 20 songs altogether.

To create the playlist, Al and Betty will need to purchase the songs. They will have to pay $1.50 for each rap song and $1.00 for each pop song. How many of each type should they put on their playlist to minimize their cost?

Answers

They should do 5 rap songs and 15 pop songs.

Since’s Al’s only requirement was to have at least 5 rap songs, and rap songs are more expensive, only adding 5 is the cheapest way to go.

Hope this helps :)

A book costs $10 at one book store. About how much more does the book cost when the book store increases its prices 18%?

Answers

$11.80

Step-by-step explanation:

POINTS AND BRAINLY
PLEASE HELP MEEEE

Answers

Answer:

the answer would be A a pure sound

Answer:

I think it is A pure Sound

Step-by-step explanation:

Find the total amount given the original price, tax rate and tip rate. Round to the nearest hundredth if necessary.

Original price: $90.34

Tax rate: 3.5%

Tip: 20%

Enter the correct answer in the box.

Answers

Answer:

$111.5699. Round to hundredths $111.57

Step-by-step explanation:

First identify the %

20% =.20 20/100= .20

3.5% = .035 3.5/100= .035

Then Find the tax rate and tip

Tax Rate .035 × 90.34

= $3.1619 (tax rate)

Tip. is .20× 90.34

= $18.068 (tip)

Final Add all it up tax rate+ tip + original price

$90.34. Don't forget to line up your demicals

$3.1619. or use a calculator

+ $18.068

Total = $111.5699

round to the nearest hundredth

$111.57 is your total

Solve for x
3(x-a)+2b=4x+a

Answers

Distribute 3 to x and a which would be
3x- 3a+2b=4x+a then combine like terms, the answer is x= -4a+2b

Find the equation of the axis of symmetry of the following parabola algebraically.
y=3x^2+18

Answers

Answer:do you have a picture

Step-by-step explanation:

i need it to solve

The first to answer will be named brainlest

Answers

Answer:

Id say 1st and 3rd answer.

Step-by-step explanation:

Answer:

First Third and Fourth Statements are true.

Step-by-step explanation:

i will give brainliest
Find n.
35n/35 = 700/35

Answers

Answer:

20

Step-by-step explanation:

[tex]\frac{35n}{35} =\frac{700}{35} \\[/tex]

multiply both sides by 35

[tex]35*\frac{35n}{35} = 700 * 35\\35n = 700[/tex]

divide both sides by 35

[tex]n = 20[/tex]

Answer:

N = 20

Step-by-step explanation:

Move all terms to the left

35n/35-(700/35)=0

Add all of the numbers together, and all of the variables

35n/35-20=0

Multiply all of the terms by the denominator

35n-20*35=0

Add all of the numbers together, and all of the variables

35n-700=0

Move all of the terms containing N to the left, all other terms to the right

35n=700

n=700/35

n=20

Consider the expression (1.0045)^4t that represents the interest earned on a money
market account, where t is the time In years. What is the approximate yearly interest rate? Round your percent to the nearest tenth. INCLUDE THE % SYMBOL IN YOUR ANSWER

Answers

The approximate yearly interest rate is 1.02%

Exponential equations

Given the expression  that represents the interest earned on a money given as (1.0045)^4t

In order to calculate the approximate yearly percent, we will substitute t = 1 into the expression as shown:

f(t) = (1.0045)^4t

f(1) = (1.0045)^4(1)

f(1) = (1.0045)^4

f(1) = 1.018

Hence the approximate yearly interest rate is 1.02%

Learn more on interest rate here: https://brainly.com/question/25545513

x-85=156 what is x equal to? or supposed to be. whichever. what is x? pls help me:))

Answers

Answer:

X would equal 241

Step-by-step explanation:

Hope this helps and have a wonderful day~

X= 241 I believe! Hope this helped

Anthony resells shoes that he purchases. He bought a pair for $210, and then applied a 43% markup. How much will the shoes be sold for?

Answers

To find how much 43% of 210 is, we do a part/whole=percent/100, so a/210=57/100, 210•57=11970/100=119.70, so that means that 210-119.70=90.30, so 210+90.30=300.30 as the final cost

Summary What is an example of a sequence of transformations that, if performed in a different order-would result in a different image?​

Answers

Answer:

an architect used the same floor plans in different locations and orientations to complete the layout of a housing complex.

Step-by-step explanation:

uwu

The Panthers baseball team needs new equipment. They plan to purchase bats that cost $60 each and gloves that cost $25 each. The number of bats they will purchase is half the number of gloves they will purchase. If they have $700, how many of each can they buy?

Answers

Answer:

Therefore, they can buy

6.36 bats and 12.72gloves

Step-by-step explanation:

Let us represent:

The number of bats purchased = b

The number of gloves purchased = g

We are told in the question that:

The number of bats they will purchase is half the number of gloves

b = 1/2g

b = g/2

g = 2b

The teams plan to purchase bats that cost $60 each and gloves that cost $25 each. they will purchase. If they have $700, how many of each can they buy?

Hence:

$60 × b + $25 × g = $700

= 60b + 25g = 700

We substitute 2b for g

60b + 25(2b) = 700

60b + 50b = 700

110b = 700

b = 700/110

b = 6.3636363636

b = 6.36 bats

Therefore, the number of bats they can buy = 6.36 bats

Remember:

g = 2b

b = 6.36

Hence,

g = 2 × 6.36

g =12.72

Therefore, the number of gloves = 12.72 gloves

1. In the computer lab, there
are 14 desktops and 16
laptops. Approximately what
percent of the computers are
laptops?

Answers

Answer:

53.3333333%

Step-by-step explanation:

Given the following question:

14 desktops
16 laptops
14 + 16 = 30

To find the answer use the formula to calculate percentages.

[tex]\frac{16}{30}\times100[/tex]
[tex]16\div30=0.533333333[/tex]
[tex]0.533333333\times100=53.3333333[/tex]
[tex]=53.3333333[/tex]

16 of 30 as a percentage is "53.3333333%."

Hope this helps.

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