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

y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.

Answers

Answer:

See below

Step-by-step explanation:

1. Graph each inequality2. Take the intersection of shaded regions as solution

Attached each inequality separately and the solution showing the intersection below.

y > -1/3x + 2

Find the x - and y - intercepts, connect them with dotted line, shade the area above the line

x < 4

Draw a dotted line x = 4, shade the area to the left of the line

What is the coefficient of x in expression of 5mx​

Answers

Coefficient of this expression is 5 only.

- BRAINLIEST answerer

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. Assume that is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.29 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming regions (c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)? Hint: 1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $

Answers

BBCdfinancial

Answer:

antiquarian

Step-by-step explanation:

Spanish civic

Given that X varies directly as Y³ and X = 54, Y = 3. find X 10 Y = 5 what is the relationship between X and Y?​

Answers

Answer:

x=6y3

Step-by-step explanation:

we first find the constant of proportionality where by we say; x= ky3

we're given x = 54

and y = 3

so

54=k(3cubed)

therefore

54= 9k

divide be 9 both sides to get k which is the constant

k=6

now rewrite the equation replacing k with 6

it will be...

X=6Y3

Anna ate 1/5 of her candy bar. What decimal represents the amount she ate?

Answers

Answer:

.25

Step-by-step explanation:

.20 because 20 goes into 100 5 times

HELP NO LINKS THOUGH!!!!!!!!

Answers

[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]

[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]

[tex]\sf \longmapsto \frac{16}{21} [/tex]

Therefore, the answer is :

[tex]\sf \frac{16}{21} [/tex]

[tex] = > 1 \frac{1}{3} \div 1 \frac{3}{4} [/tex][tex] = > \frac{4}{3} \div \frac{7}{4} [/tex][tex] = > \frac{4}{3} \times \frac{4}{7} [/tex][tex] = > \frac{16}{21} [/tex]

If a line falls on the points (7, 10) and (4,8), what is its slope? Enter your
answer as a fraction in lowest terms. Use a slash mark (/) as the fraction
bar
Anwaren
I
SUBMIT
- PREVIOUS

Answers

Answer:

The slope is 2/3

Step-by-step explanation:

hope this answer helps!!!

Please Help! I will give you a lot of points! (It's really the guess & check I'm having trouble with. Is there an easier way to find the standard divisor (d)?)

Four people pool their money to buy 60 shares of stock. The amount that each person contributes is shown in the following table. Use Adam's method with d=108 to apportion the shares of stock.

----Only pay attention to number 12 in the picture

Answers

Answer:

See below

Step-by-step explanation:

The given modifier solves this without further update.

See attached table

draw a diagram for this fraction

2 2/3​

Answers

Answer:

OOO

OOO

OO

Step-by-step explanation:

Where OOO is == 1.

OO is 2/3 of OOO.

In a scale drawing of a painting. 1 centimeter represents 5 inches.

scale 1 cm :5 in

Answer the following

(A) The height of the real painting is 25 inches. What is the height of the painting in the scale drawing?

______ cm

(B) In the scale drawing, the lenght of the painting is 6 cm. What is the lenght of the real painting?

____ inches
Please no links just answers :)

Answers

Answer:

a(5

b)30

Step-by-step explanation:

in the first one you divide 25 by 5

in the second one you multiply 6 times 5

jelp pls with 2 work pps brainly ​

Answers

Answer:

The underline one is 40.

Missing numbers. 35, 40 45, 50, 55, 60, 65, 70.

Step-by-step explanation:

Add 5 rule

Answer:

5. The tens place.

6. 35, 40, 45, 50, 55, 60, 65.... (And so on)

Step-by-step explanation:

Hoped this helped.

a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.
PLEASE SOLVE THIS QUESTION!!​

Answers

Answer:

h = √(7.5² - 2.1²) = 7.2 m

Step-by-step explanation:

Pythagorean theorem

In a recent survey of 288 people, 72 said that their favorite color of car was white. What percent of the people surveyed didn't like white cars?Write 2 over 5 as a percent.

Answers

9514 1404 393

Answer:

  75%

Step-by-step explanation:

The number for whom white was not a favorite was ...

  288 -72 = 216

The percentage whose favorite was not white was ...

  216/288 × 100% = 75% . . . didn't like white


g(x) = x² – 3x
h(x)=x+ 5
Find (g- h)(x)

Answers

Answer:

g(x+5)=x2+7x+10

Step-by-step explanation:

4) When Php 20.247 is rounded to the nearest hundredths, it becomes A, Php 20.24 B. Php 20.25 C. Php 20.247 D. Php 20.248​

Answers

When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.

It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.

Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.

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Which of the following equations have infinitely many solutions?
Choose all answers that apply:
a.-46x+23=46x+23
b.46x-23=46x+23
c.46x+23=46x+23
d.-46x-23=46x+23​

Answers

Hola cómo estás estás cómo estás estás bien y ha dado la vuelta a las dos a las puertas de la

What is 34 ÷ 14?A) 1B) 3C) 4D) 316

Answers

Answer:

2.42

Step-by-step explanation:

Answer: 2.4

Step-by-step explanation: It is 2.4 because it is 2 remainder 6

so 13+139+123+129 so WHAT does this =

Answers

Answer:

404

Step-by-step explanation:

you just add numbers you know first

geomtry plzz help 15 points

Answers

Answer:

False.

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. However, 8+6=14 is less than 15. Hence, the triangle cannot be formed.

A bookshelf contains 6 German books, 4 Spanish books and 7 French books. Each book is different from one another. How many different arrangements can be done of these books if

Answers

Answer:

17 different arrangements

Step-by-step explanation:

6+4+7=17

WHICH OF THE FOLLOWING IS NONLINEAR FUNCTION?

Answers

Answer:

Option A.

Step-by-step explanation:

Try To Cross Check It 1st

Solve for
x
6
(
x

6
)
=
5
(
x
+
1
)

Answers

Answer:

x = 41

Step-by-step explanation:

6(x−6)=5(x+1)

Step 1 - Expand the brackets:

6(x - 6) = 5(x + 1)

6x - 36 = 5x + 5

Step 2 - Add 36 to both sides of the equation:

6x - 36 + 36 = 5x + 5 + 36

6x = 5x + 41

Step 3 - Subtract 5x from both sides of the equation:

6x - 5x = 5x + 41 - 5x

x = 41

Hope this helps!

[tex]\large\underline{\sf{Solution-}}[/tex]

Given expression:

6(X - 6) = 5(X + 1)

⇛6X - 36 = 5X + 5

⇛6X - 5X = 5 + 36

⇛X = 41 Ans.

Read more:

Similar question

simplify 6/x-6+3x/x+5-1/(x-6)(x+5)....

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[2] A car is traveling at 55 MPH.
How long in minutes will it take, in minutes, to travel 33 miles?

Answers

Answer:

Step-by-step explanation:

So at 55 miles per hour you go 12 miles in a little over 13 minutes.

.

Hope this helps you to understand the problem and how to use the formula to solve it.

Distance = Speed * Time

.

You might be able to understand this by thinking, "If I go at 60 miles per hour for 2 hours,

how far do I travel?" The answer is:

.

Distance = 60 miles per hour* 2 hours = 120 miles

.

In the problem you are told that the distance to be covered is 12 miles. The speed is 55 miles

per hour. Put these into the equation and you get:

.

12 miles = 55 miles per hour * Time

.

You can then solve for the Time by dividing both sides of this equation by 55 to get:

.

12/55 = Time

.

So it takes 12/55 hours to go 12 miles. The fraction 12/55 converts to a decimal by dividing

55 into 12 to get 0.218181818 of an hour. Since an hour has 60 minutes, you can convert

the answer to minutes by multiplying 60 by 0.218181818 to get about 13.09 minutes.

the domain and range in this graph will be:

a. Domain : all real nums, Range : all real nums

b. Domain : - 4 Range: 2

c. domain: 2 range : 5​

Answers

Answer:

a.

Step-by-step explanation:

this is a line going from -infinity to +infinity in x and in y direction.

for b or c to be right the function would have to be a single point, as nothing else is valid as value.

Help pleaseeeeeeee asapplpl

Answers

Answer:

the graph is incorrect first u correct this

what are the leading coefficient and degree of the polynomial?

Answers

Answer:

leading coefficient: 2degree: 7

Step-by-step explanation:

The degree of a term with one variable is the exponent of the variable. The degrees of the terms (in the same order) are ...

  6, 0, 7, 1

The highest-degree term is 2x^7. Its coefficient is the "leading" coefficient, because it appears first when the polynomial terms are written in decreasing order of their degree:

  2x^7 -7x^6 -18x -4

The leading coefficient is 2; the degree is 7.

__

Additional comment

When a term has more than one variable, its degree is the sum of the exponents of the variables. The term xy, for example, is degree 2.

What is the place value of 8 in 4.08?
20+ Points

Answers

Answer: The place value of 8 is in the hundredths. This would be called four and eight hundredths.

Would appreciate brainly <3

Hello there!

The value of 8 is:

Hundredths

The second number after the decimal point is in the hundredths place.

Hope it helps!

Please mark brainliest!

~Just a determined gal

[tex]MysteriousNature[/tex] here to help

what is the ratio of 5:2

Answers

Answer:

5/2

Step-by-step explanation:

Compute the following sum of a geometric sequence: S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1 (Round your answer to two decimal places.)

Answers

The sum of the given geometric sequence to 2 dp is 936.00

To get the sum of a geometric sequence, we will use the formula for calculating the sum to infinity of the sequence as shown:

[tex]S_\infty=\frac{1}{1-r}[/tex]

a is the first term

r is the common ratio

Given the sequence  S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1

a = 0.936

r = 0.935/0.936 = 0.998

Substitute into the formula

[tex]S_\infty=\frac{0.936}{1-0.999}\\S_\infty=\frac{0.936}{0.001}\\S_\infty=936[/tex]

Hence the sum of the given geometric sequence to 2 dp is 936.00

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At Cheng's Bike Rentals, it costs $24 to rent a bike for 5 hours. How many dollars does it cost per hour of bike use?

Answers

Answer: $4.80

Step-by-step explanation:

24/5 = 4.8

$4.80

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