A car is travelling at a constant speed until the car’s brakes are applied. The car’s speed changes at a rate given by -0.08t ms^{-2} after the brakes are applied, where t s is the time since the brakes were applied. 3 seconds after the brakes are applied, the speed of the car is 5 ms^{-1} . How far will the car travel with the brakes applied before it stops?

Answers

Answer 1

The car will travel a distance of 52.08 seconds will the brakes applied before it stops

The acceleration of the car after t seconds that the brake was applied is given as:

[tex]a=-0.08t m/s^2[/tex]

The speed of the car after  3 seconds that the brake was applied, u = 5 m/s

The speed of the car when it eventually stops, v = 0m/s

3 seconds after the brake was applied:

The time, t = 3 seconds

substitute t = 3 into the acceleration  [tex]a=-0.08t m/s^2[/tex]

[tex]a=-0.08(3)m/s^2\\\\a = -0.24m/s^2[/tex]

To calculate the distance traveled by the car after the brakes are applied, use the equation below

[tex]v^2=u^2+2as[/tex]

Substitute u = 5, a = -0.24, and v = 0 into the equation above in order to calculate the distance

[tex]0^2=5^2+2(-0.24)s\\\\0=25-0.48s\\\\0.48s = 25\\\\s = \frac{25}{0.48}\\\\s = 52.08 m[/tex]

The car will travel a distance of 52.08 seconds will the brakes applied before it stops

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Related Questions

Frank is going to buy some ties
at $7.50 per tie and some shirts
at $18.50 per shirt. If he buys
twice as many ties as shirts and
spends no more than $205, what is the greatest number of shirts he
can buy? [All prices include tax.]

Answers

Answer:

  6 shirts

Step-by-step explanation:

The cost of a shirt and 2 ties is ...

  $18.50 +2(7.50) = $33.50

For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.

Frank can buy 6 shirts (and 12 ties) for an amount less than $205.

_____

Additional comment

Frank's cost will be $201 for that purchase.

HELP ME PLEASE!! I DONT WANT TO FAIL THIS AGAIN.

Answers

Answer:

A.

Step-by-step explanation:

You can see that the rate of change of function A is 3. because that's the slope (M) in y=mx+b

5 is slope for B because unit rate is 5 ( 1 to 3 change is +10 so unit rate is 5)

Which ratio is equivalent to the given ratio? 8: 16 Select each correct answer. 16/31 1/3 1/2 12/24

Answers

[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]

Answer:

1/2. and 12/24

they are both halves just as the ratio is half of the given number

Express 405 1/3 in simplest radical form.

Answers

Answer:

3 cube root of 15

Step-by-step explanation:

theres your simple radical form

8(152/3) is 405 1/3 in simplest radical form.

What is simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

405 1/3 is equivalent to (405*3 + 1)/3 = 1216/3.

To express 1216/3 in simplest radical form, we can first simplify it by dividing both the numerator and denominator by their greatest common factor, which is 8.

1216/3 = (8*152)/3 = 8(152/3)

Now, we can see that 152/3 cannot be simplified any further, so the simplest radical form of 405 1/3 is: 8(152/3)

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PLS HELP GRADIENT FIRST TO ANSWER GETS BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Answer:

For a;

The answer will be 3

For b;

The answer will be -4

Step-by-step explanation:

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]

I hope this helped!

Can I have brainliest?

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

if star x 2 equals square, then star x 8 equal

Answers

Answer:

Square times 4

Step-by-step explanation:

Square divided by 2 equals star right? Now we can plug in star in terms of square and we get square divided by 2 times 8, which is just Square times 4

: Một khu đất 20 ha người ta trồng hai loại cây ngô và khoai. Năng suất của ngô tính theo x ha được (5-x/4) tấn trên 1 ha và năng suất của khoai tính theo y ha được (7-y/4) tấn trên 1 ha. Xác định diện tích trồng từng loại cây để sản lượng thu được là lớn nhất.

Answers

Jsksjnsnsjdishdhjskjjkokksns

On a family trip to Oman, Tarek drove 300 km in 5 hours. This is an example of a unit rate or a rate? Please tell the correct answer.

Answers

Answer:

300 km in 5 hours is the rate

unit rate is how much in one unit

in this case the unit is one hour

60km / hour

Help help help help hell

Answers

Answer:

m = N - f

Step-by-step explanation:

The original equation:

N = m + f

if we have to solve for m, then we have to isolate it, so subtract f from both the sides and that would be the answer.

Hope this helps!

The graph of f(x) = x² is transformed to create the graph of g(x) = f(x + 6). Which
statement is true?
A The graph of g(x) reflects the graph of f(x) across the x-axis.
B The graph of g(x) reflects the graph of f(x) across the y-axis.
CThe vertex of the graph of g(x) is 6 units to the left of the vertex of the graph of f(x).
DThe y-intercept of the graph of g(x) is 6 units above the y-intercept of the graph of f(x).

Answers

Answer:

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.

Step-by-step explanation:

2+5(8-5)
Is it 17 or 21 cause me in my sister having a full blown argument right now

Answers

The answer is seven- teen 17

Answer:

The answer is seventeen (17)

What’s the solution to 2x - 2 > 2x + 4 ?

Answers

Answer:

This inequality isn't correct.

Step-by-step explanation:

2x - 2 > 2x + 4

Substituting any value for x, the result will be incorrect.

Actually,

2x - 2 < 2x + 4 is correct.

2x - 2x < 4 + 2

0 < 6

consider the following :
[tex]f(x) = {x}^{2} - x + 2 \div x - 2 = x + 1 + 4 \div x - 2[/tex]
which polynomials do you think we should call the divisor,dividend,quotient and remainder ?​

Answers

Step-by-step explanation:

remainder=4

quotient=x+1

divisor=x-2

dividend=x^2 -x +2

Which claim supports this graph?

A- Students Never use social media.

B- Students mostly use social media 0-3 times a day.

C- Students mostly use social media 8-11 times per day.

D- Students are not using social media enough.

Answers

Answer:

The answer is C.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The expression on the left side of an equation is shown below.
-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x+4) - x
O x + 8
O 4(x + 2) - 5x
Ο Χ

Answers

Answer:

x + 8

Step-by-step explanation:

Expanding the equation

-4(x-2)+5x = -4(x-2)+5x

= -4x+8+5x

= -4x+5x + 8

= x+8

Which sentence uses correct subject-verb agreement?


A. The river through our cities are polluted

B. Mountains in Colorado is beautiful.

C.The book about South American rivers is overdue.

D. The trees around our state is blooming.

Answers

C, is the correct answer.

Answer: C

Step-by-step explanation: the guy up top is correct:)

Hey everybody! Not a super hard question here! Anybody think they can help me out?
Identify the correct domain and range.​

Answers

Answer

B, the second choice

Step-by-step explanation:

the domain is defined as all possible x values of a function and the range is defined as all possible y values, so the domain would be all real numbers since x can be any value, and the range cannot be more than 3, since y=3 is the vertex of the parabola.

Han rides his bike for 50 miles over 4 hours.How long will it take him to ride 75 miles?

Answers

Answer:

6 hours.

Step-by-step explanation:

This is directly proportional, meaning if you multiply one side by a number, you multiply the other side by the same number. For the ratio 50:4, you would have to multiply 1.5 to 50 to get 75 miles, so you would also have to multiply 4 by 1.5. This would get you 6 hours.

PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER

Answers

Whats the question?......................

Answer:  

For a;  

The answer will be 3  

For b;  

The answer will be -4  

Step-by-step explanation:  

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]  

I hope this helped!  

Can I have brainliest?  

Have a great day/night/afternoon!  

(I already went to the other question you posted, do not worry.)

- ❤ 7272033Alt ❤

I have more questions then this

Answers

Answer:1-1/3

2-16 in.

3-10.49

4-1/10

Step-by-step explanation:

i hope this helps

Please Help! it's simple!

Answers

Answer:

28.27

circumference of finding a circle divided by two.

[tex](2\pi \:r {}^{2} ) \div 2[/tex]

(2×3.14×9)/2

56.55/2

28.27

Identify the graph that matches the piecewise function

Answers

D, the other graphs don’t match
D the because look at the line

Use the slope formula to determine the slope of the line containing the two points. Type your answer as an integer or reduced fraction in improper form if necessary.

Answers

Answer:

The slope is:

[tex] \binom{1}{2} [/tex]

In slope-intercept form the equation is:

[tex]y = \binom{1}{2} x - 3[/tex]

The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as seen from a point 47 ft farther from the pole. Find the height of the pole above the level of the observer's eyes. 10) A) 34 ft B) 86 ft C) 60 ft D) 45 ft

Answers

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

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Which inequality represents this sentence?
A number is no less than 48.
n < 48
n > 48
n < 48
n>48

Answers

The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.

Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.

It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.

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Answer: The correct answer is n≥48

Step-by-step explanation: Give me the brainiest

I have more question

Answers

Answer:

you would need three wholes because each whole would represent a loaf of pumpkin bread

If GH is an altitude, what would mZGHF have to be?

Answers

Answer:

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Step-by-step explanation:

What is 3 4/5÷(−1 1/10)?

Write the answer as a mixed number in simplest form.

Answers

Step 1:(Not really helpful or important) I just follow the rules of BODMAS.B for bracket O for Of D for division M for multiplication A for addition and S small quiz in comment pls
I converted -11/10 to -1 1/10
Then I did 3 4/5 divided by it
Hope I help pls answer the quizzzz

(x-1)I+(y+1)=(1+i)(4-3i)​

Answers

Answer:

x=2, y=6

Step-by-step explanation:

Graph the equation y= -1/2x. Please help

Answers

Answer:

put one point b the negative -1 and another point by the 2 going long ways ------

Step-by-step explanation:

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