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.
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.
Hey can anyone help me with these please and thank you !
Answer:
I would be able to help you but I cant see the work that well. hope you figure it out.
Step-by-step explanation:
PLEASE HELP>>>>>
25 POINTS...................
Answer:
y = 2/3x - 9
Step-by-step explanation:
note the slope, then note the y intecept, then plug it into the equation y = mx+b
Answer:
So its d
Step-by-step explanation:
Y intercept is 6, and the slope is 3/2. hope i help! And if it isn't that, its c
At football practice on Monday, Brandon threw a football into the target 5 times. The next Monday, he tripled the number of targets he hit. On the following Monday, his hits double that of the week before. Write and evaluate a numerical expression to find how many times he hit the target during those three weeks.
Enter the correct answers in the boxes.
Expression:
Answer:
try using a different app, it helps with all types of mathematical equations
2x+5y=(-24),3x+y=(-10) solve for using elimination method
Answer:
x equals -2 and y equals−4
Help help help help help help
Answer:
70.2
Step-by-step explanation:
28.08 / 0.4 = 70.2
There are three compartments for luggage and each compartment has a capacity of 25 pieces of luggage. The first two compartments are full up and the last one contains 8 pieces of luggage. How many pieces of luggage are there?
Answer:
the first 2 compartments have 25 so 25+25=50, and the last has 8 in it so 50+8=58
Q1). A={1,2,3} B={2,3,4}. Find (A∩B) xA
Step-by-step explanation:
Given sets are :
A = {1, 2, 3}
B = {2, 3, 4}
AnB = {1, 2, 3} n { 2,3,4 }
AnB = {2,3}
Now
(AnB) X A
⇛ { 2,3 } X { 1 , 2, 3 }
⇛ { (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }
(AnB) X A for the given problem is
{ (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }
please help i seriously don’t know this at all lol
Answer:
156m^2
Step-by-step explanation:
label the shapes A and B) triangle=shape b and rectangle=shape a
shape a)10x12=120m^2
shape b)(12x6)/2=36m^2
add the values of shape a and b together to get the area of the shape)120+36=156m^2
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
Answer:
10
Step-by-step explanation:
What is negative 10 divided by .22
Answer:
That would be negative 45 or - 45
Please correct me if im wrong
I don’t know the answer for this
Answer:
I think it is probably -12
Step-by-step explanation:
Determine the ordinary simple interest on a 90-day loan of Php8000 at 8 ½ % interest rate.
Answer:
$170
Step-by-step explanation:
What is the value of m
35.6 355⅝5555555555555555555545455555555
Twice the sum of a number and 3 is equal to three times the difference of the number and 6. Find the number.
ENER
The number is a
(ANSWER QUICKLY)
Answer: 5
Step-by-step explanation:
The difference of a number and six is negative four
From a club with 12 members, how many ways could you choose a committee of 5?
Step-by-step explanation:
that is 12 over 5
12! / (5! × (12-5)!) = 12×11×10×9×8/5×4×3×2 =
= 11×9×8 = 792
Find X for brainiest
Answer:
136°
Step-by-step explanation:
Look at the attached paper for the steps.
Answer:
136°
Step-by-step explanation:
In quadrilateral ABCD,
[tex]m\angle A = 180\degree - 107\degree = 73\degree[/tex](Angles in linear pair)
[tex]m\angle B = 61\degree [/tex](Vertical Angles)
[tex]m\angle C= 90\degree [/tex](Given)
[tex]m\angle A +m\angle B+m\angle C+m\angle D= 360\degree[/tex](Interior angle sum postulate of a quadrilateral)
[tex]73\degree +61\degree+90\degree+x= 360\degree[/tex]
[tex]224\degree+x= 360\degree[/tex]
[tex]x= 360\degree-224\degree[/tex]
[tex]x= 136\degree[/tex]
e/kaid_274404147475337871026587/assig!
Khan Academy
Percent word problems
Of the 50 U.S. states, 4 have names that start with the letter W.
What percentage of U.S. states have names that start with the letter W?
0
Stuck? Review related articles/videos or use a hint.
Answer:
Step-by-step explanation:
4/50 = 0.08
0.08(100) = 8%
fast hurry no link no bot please right
9514 1404 393
Answer:
(d) 972π in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³
The sphere has a diameter of 18 in, so a radius of 9 in. Its volume is ...
V = (4/3)π(9 in)³ = (4/3)729π in³ = 972π in³
The container can hold 972π in³ of water.
In order to join a dance class at Dancing’s Lily’s Academy, you must pay a $335 annual fee plus $13.75 for each class you attend. You plan to spend $500 dollars on your dance classes. Write and solve an equation for how many dance classes you will take.
Answer:
12
Step-by-step explanation:
335 + 13.75x = 500
Subtract 335 from each side
13.75x = 165
Divide each side by 13.75
x = 12
You can attend 12 dance classes with $500.
9514 1404 393
Answer:
12 classes
Step-by-step explanation:
The total cost for c classes will be ...
335 + 13.75c = 500
13.75c = 165 . . . . . . . . . .subtract 335
c = 12 . . . . . . . . . . . divide by 13.75
You will take 12 classes.
Solve the following equation for x: 5x-3 1/2 = 9x+4 Enter answers as a decimal with no variable, no spaces, and no equal sign. DO NOT ROUND.
Answer:
− 1.875
Step-by-step explanation:
Do you want an explanation?
A suit was marked with a 20% discount.
If the discount is $26.00, what was the original price of the suit?
Answer:
130
Step-by-step explanation:
Simplify the expression 2.1(3.7 +5.7u) using the Distributive Property.
PLEASE HELP! :(
Answer:
7.77+11.97u
Step-by-step explanation:
2.1(3.7+5.7u)=7.77+11.97u
NO WORK INCLUDED! JUST ANSWERS!!! PLS HELP
Answer:
6) = 55
7) = 68
8) = 148
9) = 102
10) = 38
5) = 48
4) =30
3) = 10
2) = 6
1) =4
find 66 2/3 of 900
27 1/2% of 1200
17 1/2% of 1000
33 1/2% of 600
9514 1404 393
Answer:
600330175201 (as written) 200 (if it should be 33 1/3%)Step-by-step explanation:
The easiest way to do these is to make use of your knowledge of the decimal equivalents of fractions and percentages.
66 2/3% of 900 = 2/3 × 900 = 600
27 1/2% of 1200 = 0.275 × 1200 = 330
17 1/2% of 1000 = 0.175 × 1000 = 175 . . . . move the decimal point
33 1/3% of 600 = 1/3 × 600 = 200
or 33 1/2% of 600 = 0.335 × 600 = 201
_____
Additional comment
The repeating decimal for 1/3 is 0.33333.... As a percentage, that is 33 1/3%. Then 2/3 = 66 2/3%.
To change a percentage to a decimal, divide it by 100%.
17.5% = (17.5%)/(100%) = 17.5/100 = 0.175
__
The product 0.275 × 1200 can be rewritten as ...
0.275 × 1200 = 0.275 × 1000 × 1.2 = 275 ×1.2 = 275 + 0.2×275
= 275 +55 = 330
This is a calculation you can do in your head.
__
We suspect a couple of typos in your question. If you mean 66 2/3, not 66 2/3%, then multiply the first answer by 100 to get 60,000.
We have shown answers for both 33 1/2% as your problem says, and 33 1/3%, which would be the more usual fraction.
Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They have
traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108 + x < 352.
Select from the drop-down menu to correctly interpret the solution of this inequality.
Amanda family cannot travel more than 244 miles without needing to refill the gas tank.
Inequality is the non equal comparison of numbers or variables.
Let x represent the number of miles that they can travel before filling their gas tank.
Their car can travel no more than 352 miles without filling their tank. Also, they have traveled 108 miles since they last filled the gas tank. Hence:
x + 108 < 352
x < 244
This means that Amanda family cannot travel more than 244 miles without needing to refill the gas tank.
Find out more at: https://brainly.com/question/25285332
Explain how you would use mental math to solve this
proportion.
Graph the image of this figure after a dilation with a scale factor of 12centered at the origin.
Use the polygon tool to graph the dilated figure.
Answer:
1.(-4,2)
2.(2,4)
3.(-2,8)
Answer:
(1,2) (0,4) (-4,2)
Step-by-step explanation:
took the quiz and got it right.
SectionA
find A and B?
B=
6 9-5
A:
- 10 -4 -8
4 16 6
7
8 4
1 2 -9
19 5 6
9 6
Answer:
B=24
A= I don't know what that means
Step-by-step explanation:
