Assignment Goal:
Describe the motion of a rocket using a quadratic model.
Instructions:
Respond to each of the questions. Your solutions must document all of your work.
Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec.
Use the general formula for the vertical position (height) of an object moving under the influence of gravity s=-1/2 gt^2+ v_0 t+ s_0 where s0 is initial vertical position, v0 is initial velocity, and s is vertical position of the object.

1. Define a model (equation) to express the vertical position (height) of the rocket s (in meters) above ground level t seconds after launch. Let g = 32 ft/sec2.

Answers

Answer 1

Answer:

Your question is a little unclear if it wants meters or feet because it has everything listed in nicely feet then you say "(in meters)" at the bottom.

If it wants feet, the answer is

[tex]s=-16t^2+80t+10[/tex]

If it wants meters, the answer is

[tex]s=-4.8768t^2+24.384t+3.048[/tex]

Step-by-step explanation:

To solve, use the quadratic equation.

[tex]y=ax^2+bx+c[/tex]

It wants the x-axis to represent time (t) and the y-axis to represent position (s)

[tex]s=at^2+bt+c[/tex]

It gives us a formula that tells us what a, b, and c equal.

[tex]s=(-1/2)gt^2+v_0t+s_0[/tex]    where g is gravity, v_0 is the initial velocity, and s_0 is the initial starting position.

From here, it is just a plug and chug to get the final answer.

[tex]s=(-1/2)(32)t^2+80t+10\\s=-16t^2+80t+10[/tex]

If it wants everything in meters, just convert feet to meters at every step. You can search to find that 1 meter=3.28084 feet.


Related Questions

Write a linear function f give f(0)=2 f(3)=-1

Answers

Answer:

f(x) = ax + b,

Step-by-step explanation:

Am Not Really Sure About The Answer, So Pls Try And Cross Check It

This circle is centered at the point (3,2) and the length of its radius is 5 what is the equation of the circle

Answers

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Help! This assignment is due at 7:00 and this is the last question!

Solve for all values of b in simplest form (delta math)
|6-3b|=4

Answers

Answer:

b=2/3, b=10/3

Step-by-step explanation:

first equation

6-3b=4

6=4+3b

3b=2

b=2/3

second equation

6-3b=-4

10=3b

b=10/3

Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans

Answers

Answer:

I will say %39.56 for 7 pairs because you'll have 7 pair of jeans so you don't have to buy more if some of your jeans rips or something happens so yeah.

Answer:

$39.55 for 7 pairs of jeans

Step-by-step explanation:

The LCM of 7 and 4 is 28, so I decided to use that as an example.

4×7=28

22.48×8=179.84

So if you wanted 28 jeans, you'd be paying $179.84

- - - - -

Now the first deal.

7×4=28

39.55×4=158.2

For 28 jeans, you'd be paying $158.20

For 28 jeans, the first choice offers a better deal than the other.

Mind you, I know the word problem isnt about 28 jeans. But since 28 was the LCM of 4 and 7, I decided to use it as an example

PLEASE HELP! Economics

Answers

Answer:

C is the answer.

Step-by-step explanation:

the US capital account was in surplus and Japanese current account

Can you help me please I will mark the BRAINLIEST ​

Answers

Answer:

c.7203

d.26244

Step-by-step explanation:

please mark me as brainliest

Answer:

[tex]3 \times 7 \times 7 \times 7 \times 7 = 3 \times {7 }^{4} = 7203[/tex]

[tex]2 \times 9 \times 9 \times 2 \times 9 = {2}^{2} \times {9}^{4} = 26244[/tex]

Relatively Simple Math, pls lend a hand. 50 points and Brainliest

Answers

I think the answer is A

Answer:

B. 192 miles in 3 hours

Step-by-step explanation:

Mr. Anderson's rate is:

480 / 7.5 = 64 mph

Given options, find rates and compare with the above number:

A. 120/2 = 60 mph, NoB. 192/3 = 64 mph, YesC. 100/1.5 = 66.66 mph, NoD. 240/3.25 = 73.85 mph, No

Let f(x)=3x-8 and g(x)=x^2+4.
Find f(g(-2)).

Answers

Answer:

16

Step-by-step explanation:

Given:

f(x) =3x - 8 and g(x) = x² + 4f(g(- 2)) = ?

First find g(- 2):

g(- 2) = (-2)² + 4 = 4 + 4 = 8

Find f(8):

f(8) = 3*8 - 8 = 24 - 8 = 16

g(-2):-

[tex]\\ \sf\longmapsto (-2)^2+4[/tex]

[tex]\\ \sf\longmapsto 4+4[/tex]

[tex]\\ \sf\longmapsto 8[/tex]

Now

[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]

[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]

[tex]\\ \sf\longmapsto 3(8)-8[/tex]

[tex]\\ \sf\longmapsto 24-8[/tex]

[tex]\\ \sf\longmapsto 16[/tex]

help extremely quick plsssssssssssssssssssssssssssssssssss
Select all the expressions that have a value of 180 when b = 4.
A. 87b - 179 + 957 ÷87
B. 33b/12
C. b² + 120
D. 51b - 24
E. 11b + 187 - 2,756 ÷ 13

Answers

Answer:

A and E

Step-by-step explanation:

Describe an example in which two variables are strongly correlated, but changes in one do not cause changes in the other.

Answers

Just because 2 things are related doesn't mean they will both be changed when one thing happens. For example steak and candy, just because they are both food doesn't mean they taste the same or interact with each other.

Please help me answer it please no links or you will be reported

Answers

Answer:

what answer

Step-by-step explanation:

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4. Suppose you have a map of Charlotte where 2
inches equals 4 miles. On the map, the distance
from your house to school if 3.5 inches. How
many miles is this?

Answers

convert inches to miles .

the value of x in the solution to the system x+y=10 and x-y=4

Answers

Answer:

x = 7; y = 3

Step-by-step explanation:

I used the Trial and Error Method and found that x = 7 and y = 3

=> 7 + 3 = 10

=> 10 = 10. ✔

=> 7 - 3 = 4

=> 4 = 4. ✔

Therefore, x = 7 and y = 3

Hoped this helped.

A partnership begins its first year with the following capital balances:
Alexander, Capital . . . . . . . . . . . . . . . . . . . . . . . . $ 90,000
Bertrand, Capital . . . . . . . . . . . . . . . . . . . . . . . . . 100,000
Coloma, Capital . . . . . . . . . . . . . . . . . . . . . . . . . . 160,000
The articles of partnership stipulate that profits and losses be assigned in the following manner:
∙ Each partner is allocated an interest equal to 5 percent of the beginning capital balance.
∙ Bertrand is allocated compensation of $45,000 per year.
∙ Any remaining profits and losses are allocated on a 3:3:4 basis, respectively.
∙ Each partner is allowed to withdraw up to $25,000 cash per year.
Assuming that the net income is $115,000 and that each partner withdraws the maximum amount
allowed, what is the balance in Coloma’s capital account at the end of the year?
a. $143,000
b. $135,000
c. $168,000
d. $164,000

Answers

Based on the information given the balance in Coloma’s capital account at the end of the year is: d. $164,000.

First step is to calculate the interest on capital for each partner

Alexander=$90,000×5%=$4,500

Bertrand=$100,000×5%=$5,000

Coloma=$160,000×5%=$8,000

Second step is to calculate Coloma capital and drawing

Coloma capital =$160,000 + (5% x $160,000)

Coloma capital=$160,000+ $8,000

Coloma capital=$168,000

Coloma drawing=$168,000-$25,000

Coloma drawing=$143,000

Third step is to calculate Coloma share of profit

Share of profit=$115,000-$45,000-$4,500-$5,000-$8,000

Share of profit=$52,500

Coloma profit=4/(3+3+4)×$52,500

Coloma profit=4/10×$52,500

Coloma profit=4/(3+3+4)×$52,500

Coloma profit=$21,000

Fourth step is to calculate balance in Coloma’s capital account

Coloma’s capital account balance=$143,000+$21,000

Coloma’s capital account balance=$164,000

Inconclusion the balance in Coloma’s capital account at the end of the year is: d. $164,000.

Learn more here:https://brainly.com/question/21270829

if there was a group of ten people the probability of two of them being born on the same day of the same week is 1? is this correct yes or no explain you answer.

Answers

Answer:yes

Step-by-step explanation:

Im not that good but if there is a birth rate of 1000 people per day then if you estimate that awnser you have a possibility of 60%

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,380 ft Determine the​ flag's width and length if the length is ft greater than the width.

Answers

Answer:

Length is 50ft, width is 160ft

Step-by-step explanation:

Can somebody answer this with A ANSWER and not sum else whoever does I will give brainiest

Answers

Answer:

911,250

Step-by-step explanation:

4050 · 225 = 911,250

b(n)=−8−2(n−1)b, left parenthesis, n, right parenthesis, equals, minus, 8, minus, 2, left parenthesis, n, minus, 1, right parenthesis
Find the 9^\text{th}9
th
9, start superscript, start text, t, h, end text, end superscript term in the sequence

Answers

Step-by-step explanation:A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence

A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence

What is a sequence?

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.

To learn about sequence refer to:

https://brainly.com/question/1480398

#SPJ2

Eleven more than five times a number is equal to the difference between −38 and twice the number. Find the number.

Answers

Answer:

x = -7

Step-by-step explanation:

Eleven more than five times a number is equal to the difference between −38 and twice the number.

let x represent the number.

11 + 5x = -38 - 2x

7x +11 = -38.............add 2x to both sides

7x = -49................... subtract 11 from both sides

x = -7........................divide both sides by 7

figure b is a scaled copy of figure a

Answers

Step-by-step explanation:

figure B is a scaled copy of figure B

by scale factor : 1/2

Please take a look at the picture

Answers

-10 since each is going down in increments of 4

At Arnold's Arcade, a child can buy 21 tokens for $6. At this rate, how many tokens would $20 get someone?

Answers

Based on the information given, the number of tokens that will be bought if a child has $20 will be 70.

Since a child can buy 21 tokens for $6, the cost of one token will be:

= $6 / 21 = $0.2857143

Therefore, if a child has $20, the number of tokens that will be gotten will be:

= $20 / $0.2857143

= 70

Therefore, 70 tokens will be bought.

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https://brainly.com/question/25776703

Solve the following of:

11/15 × 7/8 ÷ 3/4​

Answers

Answer:

Well following the order of operations

You just do this from left to right

11/15* 7/8 = 77/120

77/120 ÷ 3/4

or

77/120 * 4/3

77/90 (simplified)

77/90 is the answer

help me pls I'm so confused

Answers

Answer:

I feel like it's A

Step-by-step explanation:

The dot looks closer

Answer and Step-by-step explanation:

The first graph (option) is the correct answer.

The line create in this graph is called the "Line of Best Fit", in which the line has to be somewhere in the middle of all the points on the scatter plot graph. The line shows the relation of the points to each other.

The line is in more proportion to the points than with the other graph.

#teamseas #PAW (Plant And Water)

I hope this helps!

45 cows can graze a field in 13 days. How many cows will graze the same field in 9 days​

Answers

Answer:

65 cows

Step-by-step explanation:

Inverse rule of three

[tex]45-------13\\x -------- 9[/tex]

[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]

Hope this helps

how can you simplify 24 to 96 ​

Answers

Step-by-step explanation:

Reduce 24/96 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.

24 ÷ 2496 ÷ 24.

Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.

Step-by-step explanation:

Here is an Explanation

Reduce 24/96 to lowest terms

The simplest form of

24

96

is

1

4

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 24 and 96 is 24

Divide both the numerator and denominator by the GCD

24 ÷ 24

96 ÷ 24

Reduced fraction:

1

4

Therefore, 24/96 simplified to lowest terms is 1/4.

a function is given, 2^x + 3. find f(-2)

Answers

Answer:

2_3_4_4/547767()9897568. thank

simplify fully
2√3 x 3√8​

Answers

Answer: 12√6

Step-by-step explanation:

Given the expression;

2√3 * 3√√8

= (2*3) * (√3*√8)

= 6 * (√24)

= 6 * √4*6

= 6 * (2√6)

= (6*2)√6

= 12√6

Therefore, the simplified form of the expression is 12√6.

Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.

Answers

Answer:

17.8 miles

Step-by-step explanation:

His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.

Since it asks for the distance he reduced to the office, we would do

21.45 - 3.65 = 17.8 miles

work out the area of this quarter circle take p2b 3.14 to and read and other digits given by a calculator ​

Answers

Answer:

Step-by-step explanation:

area of a full circle is A = πr²

so a quarter of a circle area is A = πr²/4

A = 3.142(7²)/4

A = 38.4895 cm²               picture answer

Using π =  3.14 results in

A = 3.14(7²)/4

A = 38.465 cm²                  written question answer

For comparison purposes,

Carrying the precision of π into many more significant digits results in

A = 38.484510006474...cm²

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