Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.
a(t) = -24; v(0) = 17, s(0) = 0
s(t) =

Answers

Answer 1

Answer:

Position function is [tex]s(t)=-12t^2[/tex]

Step-by-step explanation:

Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].

Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].


Related Questions

(a) 95% of what is 57?

(b) What number is 35% of 40?

Answers

Answer:

a=54.15 and b=14

Step-by-step explanation:

Which expression is equal to 6/7?

Answers

Answer:

Option C

The answer is 6 ÷ 7

Step-by-step explanation:

6/7 which means 6 divided by 7 i.e., 6 ÷ 7

Thus, The answer is 6 ÷ 7

-TheUnknownScientist 72

Is (x + 2) a factor of f(x) = x3 - 7x2 + 2X – 8? Use either the remainder theorem or the factor theorem to explain your reasoning.

Answers

[tex]\text{Given that,}\\\\f(x) = x^3 -7x^2 +2x -8\\\\\\\text{(x+2) will be a factor of f(x) if } f(-2) = 0 \\\\\\f(-2) = (-2)^3 -7(-2)^2 +2(-2) -8 = -48 \\\\\\\text{Since}~ f(-2) \neq 0, ~ (x +2) \text{is not a factor of f(x).}[/tex]

If PQ =13 and PR = 18, what is QR?

Answers

Answer:

QR is equal to 5 since 13 is 5 less that 18. So since 13 was already taken, that leaves 5

Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76

Answers

0.76 is the median.

PLZ HELP ASAP I NEED A ANSWER!!
Which characteristics did early Japanese, Chinese, and Korean civilizations share?

They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.

Answers

Answer:

When looking at the feudal system, which is a notable difference between Japanese Samurai and European Knights? Japanese Samurai were not considered part of the higher class. European Knights were not part of the military. Japanese Samurai were highly educated.

Step-by-step explanation:

hey yo how is this math

PLS HELP NO LINKS
A cardboard box has the dimensions 2 ft, 1.5 ft, and 1.2 ft. What is the volume of the box?
A. 3.2 ft
B. 3.6 ft
C. 4.7 ft
D. 14.4ft​

Answers

Answer:

3.6 cubic feet

Step-by-step explanation:

The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]

Find the Values of X and Y
X=
Y=

Answers

Answer:

14 and 12

Step-by-step explanation:

What is the perimeter of the triangle?

Answers

Answer:

L1 + L2 + L3 = perimeter

Step-by-step explanation:

You add each side of the triangle together.

Answer:

L1+L2+L3

Step-by-step explanation:

You add all the sides of the triangle to get the perimeter


When using a ruler, where is the unit?
- The tick marks on the ruler.

- The space between the tick marks on the ruler.

-The numbers on the ruler.

Answers

Answer:

Is it The numbers on the ruler?

Step-by-step explanation:

HELLLLPPPP QUICKKLLLYYYY PLLZZZ VIEW THE QUESTION IN THE PHOTO ATTACHED!!!!

Answers

Answer:

[tex]\sqrt{18a}[/tex]

Step-by-step explanation:

To insert the factor, you must first find its squared value, in this case, 3's squared number is 9 so.....[tex]3=\sqrt{9}[/tex]

Now with square roots, they multiply like any other number

so you end up with[tex]\sqrt{9}*\sqrt{2a} \\\sqrt{9*2a}\\\\\sqrt{18a} <------ ANSWER[/tex]

Please leave a thanks!!!

7 1/2 divided by 2 1/2

Answers

Answer:

3

Step-by-step explanation:

The price of a bicycle is $108.00 plus 7% sales tax. What is the sales tax on this bicycle in dollars and cents?

Answers

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

please help tysm ill mark brainliest

Answers

Answer:

use pemdas(order of the operations)and you'll get the answer 27!!

Step-by-step explanation:

2. Nora's bill at a store is $125. If she leaves a 2% tip for the gate keeper,
how much will the total bill be, including tip?

Answers

Answer:

$127.50

Step-by-step explanation:

All you have to do is $125 times 1.02 because it is adding to the price it is already.

$125 × 1.02.

Which is $127.50.

2% of 125 is 2.5
2.5 dollars plus 125 dollars would give you a total bill of $127.50

Tìm nghiệm tổng quát của các phương trình
y"+2y'-3y=0

Answers

Answer:

y € R i guess

Step-by-step explanation:

I hope it correct

If answer is correct I will mark as brainliest.
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?

5x^3+x^2-7x+28=0

A. Zero

B. Two or Zero

C. One

D. Three or one​

Answers

Answer:

No positive real solutions.So the answer is zero.

Step-by-step explanation:

100 POINTS PLS ANSWER
There are 7 friends who went to the bowling alley. Three of the friends each 1 point
bought a game of bowling for $x and a snack pack for $5. The other four
friends only bought a game of bowling. Choose ALL equivalent expressions
that represent the total cost for all 7 friends.
3x+15+4x
8 + 3 + 4x
7x+15
3(x+5)+4x
8 + 15 + 4x

Answers

Answer:

8+15+4x and 3x+15+3x

Step-by-step explanation:

What is the equation of the line in slope intercept form perpendicular to the y axis and has the point (-4,5)

Answers

Answer:

y=5

Step-by-step explanation:

If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.

Use the equation

y-y=m(x-x)

y-5=0(x-(-4))

y-5=0

y=5

Answer:

y=5

Step-by-step explanation:

Find the perimeter of a semicircle with a radius of 9 in.
Please explain and be accurate.

Answers

Answer:

9π + 18

Step-by-step explanation:

The circumference of a circle is pi times diameter, so 9 x 2 = 18 inches, which is the diameter. That will be the flat side of the semicircle. Then the circumference of the whole circle will be 18π. To find the curved side of the semi-circle, divide this by 2, so you get 9π. Therefore the answer is 9π + 18. The rough answer to 3 decimal places is 46.274

A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width​

Answers

Answer:

Width = 38.57cm

Step-by-step explanation:

Perimeter = 270cm

Let x be the width, so

Length = 2 1/2 x = 5x/2

Perimeter of Rectangle = 2(length + width)

270cm = 2(5x/2 + x)

270 = 5x + 2x

7x = 270

x = 38.571 cm

Therefore, the width is 38.57cm (rounded to 2nd decimal place)

Answer:

width = 38.6 cm (approx.)

Step-by-step explanation:

let the width be x cm, so that the length is 2.5x cm.

Perimeter = 2 (length + width)

2 (length + width) = 270 cm

or, 2 (2½x cm + x cm) = 270 cm

or, 3½x cm = 270/2 = 135 cm

or, x = 270/7 cm = 38.6 cm (approx.)

x+3y=-5
4. Tyler and Han are trying to solve this system by substitution:
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Han's first step
is to isolate 3y in the first equation to get 3y = -5 - X.
Show that both first steps can be used to solve the system and will yield the same
solution.

Answers

Answer:

Tyler's - (-5 - 3y) + (3y) = -5

Han's - (x) + (-5 - x) = -5

Step-by-step explanation:

If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.

But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become

x + (-5 - x) = - 5 which also gives us an exact answer of -5.

Thus proving that both first steps show the same solution of -5.

rotate segment AE about point F 144 degrees

Answers

Answer:

DC

Step-by-step explanation:

If we rotate a segment around a point 360 degrees, we have rotated it around to its original point. Similarly, if we rotate it 180 degrees, we have rotated it to the side opposite of where it once was relative to the point.

What we can do is see how much 144 degrees is of 360 and use that to determine how far around we rotate AE around F.

144/360

divide by 12 because that is a common factor of both the numerator and denominator

12 / 30

divide by 2 because that is a common factor

6/15

divide by 3 because that is a common factor

2/5

Therefore, 144/360 = 2/5. This means that we rotate segment AE 2/5 of the way around point F. We have 5 sides in the polygon ABCDE, and each represents 1/5 of the way around. Going counterclockwise, ED represents 1/5, DC represents 2/5, and so on. We are looking for 2/5, so DC is our answer

In ΔABC, m∠1=70° and m∠4=35°. What is m∠3?

Answers

Answer:

75

Step-by-step explanation:

A triangle can only have 3 angles that add up to 180 degrees. Subtract 70 and 35 from 180 to get 75.

180=x+70+35

180-(70+35)=x

Which equation is correct and shows that 42 is 7 times the size of 6?

42 × 2 = 7
42 × 6 = 7
42 ÷ 2 = 7
42 ÷ 6 = 7

Answers

42 divided by 6 = 7

I hope this helps
It’s 42 divided by 6 = 7

p/18+7=9 what is the value of p

Answers

Answer:

p=36

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

p/18+7-(9)=0

Simplify p/18

(p/18+7)-9=0

7= 7/1= 7*18/18

p+7*18/18=p+126/18

(p+126)/18-9=0

9=9/1=9*18/18

(p+126)-(9*18)/18=p-36/18

p-36/18=0

p-36=0

p=36

Hope this helped :)

Write an equation but do not solve to show how many letters, L, it would take for these two trophies to cost the same amount.

Answers

Answer:

12 + 0.40L = 14.75 + 0.25L

Fill in the blanks to solve this equation

Answers

Answer:

                                     

Step-by-step explanation:

Simplify -3(-4x + 2)

Answers

Step-by-step explanation:

12x - 6 is your answer in simplified form

One-half of one-seventh of T equals one-third of one-fifth of 90. What is the value of T

Answers

Answer:

Step-by-step explanation:

This is the equation. Read it carefully.

1/2 * 1/7 T = 1/3 * 1/5 * 90   Reduce

(1/14) * T = 1/15 * 90

1/15 * 90 = 6

(1/14)*T = 6                          Multiply both sides by 14

T = 14 * 6

T = 84

Other Questions
Which correctly matches the strand of DNA with his complementary strand of RNA These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two blue marbles if the first one is placed back in Let |u| = 10 at an angle of 45 and |v| = 13 at an angle of 150, and w = u + v. What is the magnitude and direction angle of w?|w| = 9.4; = 72.9|w| = 9.4; = 107.1|w| = 14.2; = 72.9|w| = 14.2; = 107.1 What is the meaning of beinnial crop PLEASE HELP! No phony answers, thanks! Happy holidays, Merry Christmas!! [tex]2 \frac{2}{3} + 3 \frac{1}{3} + 1 \frac{2}{3} [/tex]aaaaaaaaaadddddddd Plsssssssssss helppppppp Need help pls! Answer asap Which is NOT true about a carrier for a genetic disorder? a. They are heterozygous for the disorder. b. They have the disorder. c. They had at least one parent with the disorder. d. They may have siblings that have the disorder. ***Giving brainlist*** A circle has diameter 18 inches, and a chord is 14 inches long. What is the distance in inches from the chord to the center of the circle, to the nearest hundredth? write a descriptive essay on a local market which court involves customs or other trade issues? Help please :) {not for game show}If your daily commute time is an hour and today you worked an hour of overtime, how much time is added to your commute time for the day?nonefive hoursthirty minutesone hour 20x9 and I need help I dont do math so can u help me HEEEELPlambic pentameter has __ feet in meter.FiveSixSevenEight Make x the subject of the formula: y=x^{2} + 5 A moving car initially has kinetic energy K. The car then moves in the opposite direction with four times its initial speed. What is the kinetic energy now What part or parts of the body aremost affected by alcohol? Loto begins at his back door and walk 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door? Jennifer competed in a race that included running and biking. She ran 134 miles and bicycled 3.6 miles. Her total time was 0.7 hour. What was her approximate average speed in miles per hour?