A ball is thrown from an initial height of 2 feet with an initial upward velocity of 21 fts. The ball's height h (in feet) after seconds is given by the following.

Answers

Answer 1

Answer:

h(t)=

h(t)=vt-21t+2

Step-by-step explanation:

initial height =2

initial velocity=21ft/s

dh/dt=v

dh=vdt

intergrating both sides

h(t)-h(i)=vt-v(i)t

h(t)-2=vt-21t

h(t)=vt-21t+2


Related Questions

Find the area of the smaller sector round to the nearest tenth. Need help fast!!

Answers

The area of the sector is  76. 95 m

How to determine the area of a sector

Using the formula;

Area of  sector of a circle  = /360° (r2)

where r is the radius of the circle

is the angle of the sector

From the diagram,

= 77°

r = 10. 7m

= 3. 142

Substitute into the formula

Area of the sector = 77/ 360° * (3. 142* 10. 7 * 10. 7)

Area of the sector = 0. 2139 * 359. 72

Area of the sector = 76. 95 m

Thus, the area of the sector is  76. 95 m

Learn more about the area of a sector here:

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Each day for the next 4 days, there is a 20% chance of a thunderstorm. Use the simulation shown, where the digits 1 and 2 represent days with a thunderstorm, to estimate the probability of a thunderstorm on at least 2 of the next 4 days. Round your answer to the nearest tenth of a percent if necessary.

Answers

Answer:

It’s 6/1

Step-by-step explanation:

The estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).

What is probability?

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain to occur.

To estimate the probability of a thunderstorm on at least 2 of the next 4 days, we can use the simulation as follows:

The outcomes with at least 2 thunderstorms are: 112, 121, 122, 211, 212, and 221.Out of the 16 possible outcomes (each day can either have a thunderstorm or not), the number of outcomes with at least 2 thunderstorms is 6.Therefore, the estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).

Thus, this is only an estimate based on the given probability of a thunderstorm each day, and the actual probability may be different.

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If you shift the linear parent function, f(x) = x, down 6 units, what is the
equation of the new function?

Answers

F(x)=x-6 because -6 is the y value

A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5

what is the total surface area​

Answers

Answer:

237.5

Step-by-step explanation:

2·(5·7.5+6.5·7.5+6.5·5)=237.5

Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has.
If r is 23 cup, how many batches of cookies can Tyra make?

Answers

Answer:

She can make 19 batches of cookies.

How many different meals can you order from a restaurant that has a menu with 8 appetizers, 3 entrees, 5 desserts, and 8 drinks? (Assume that you are getting one item from each section of the menu.)​

Answers

4 because there's 4 sections and if ur getting 1 from each then ur ordering 4 meals
There are 960 different combinations

8 x 3 x 5 x 8 = 960

what is the
the distance between a point at (-3,4) and a point at (2,-5)

Answers

Question:-

What is the distance between a point at (-3,4) and a point at (2,-5) ?

Solution:-

Let the two points be A and B .

And, let the distance be P .

Now, the distance P between the point A (-3,4) and the point B (2,-5) is

[tex] \bf P \: = \sqrt{(-3 \: - \: 2)^2 \: + \: (4 \: + \: 5)^2} [/tex]

[tex] \implies [/tex] [tex] \bf P \: = \sqrt{(-5)^2 \: + \: (9)^2} [/tex]

[tex] \implies [/tex] [tex] \bf P \: = \sqrt{25 \: + \: 81} [/tex]

[tex] \implies [/tex] [tex] \bf P \: = \sqrt{106} [/tex]

[tex] \implies [/tex] [tex] \bf P \: = \: 10.3 [/tex]

The distance between a point at (-3,4) and a point at (2,-5) is 10.3 . [Answer]

One year, the population of a city was 143,000. Several years later it was
138,710. Find the percent decrease.

Answers

Answer:

One year, the population of a city was 143,000. Several years later it was

138,710. Find the percent decrease - 3% decrease.

The cost of interest of a $3,000 loan at 12% interest per year is $1003.80.
What is the term length for this loan in years?

Answers

9514 1404 393

Answer:

  2.79 years

Step-by-step explanation:

If we assume simple interest, the interest amount is computed from ...

  I = Prt

Then the length t is ...

  t = I/(Pr)

  t = 1003.80/(3000×0.12) ≈ 2.788333...

The term of the loan is about 2.79 years.

Sue at 30 cherries. She ate 5 times as many cherries as bob. How many cherries did bob eat

Answers

Answer:

6

Step-by-step explanation:

6 times 5 is 30. You would've divided 30 by 5

Bob ate 6 cherries
Explanation if she ate 30 and 5 time more then you need to divide

Andy's age is 67, which is 17 less than 12 times bills age. What is bills age?

Answers

Bill is about 49 years old.

Answer:

7

Step-by-step explanation:

67 + 17 = 84

84/12 = 7

what other classifications can a rhombus be​

Answers

Answer:

Classification of rhombus

Step-by-step explanation:

The opposite angles of a rhombus are equal.each diagonal bisect the vertical angles.the diagonals are not equal and bisect each other perpendicularly.the triangles formed by the diagonals are congruent.the area of a rhombus=1/2d1×d2

- En una tienda, durante las rebajas, encontramos los siguientes carteles: “ De 150 euros a 90 euros” y “De 40 euros a 24 euros”. ¿Tienen los dos artículos el mismo porcentaje de rebaja ?

Answers

Answer:dwadwdwd

Step-by-step sadawdwdwadwdwexplanation:

Marcie conducts an experiment with a bag of marbles. She draws one marble from the bag, records its color, returns the marble to the bag, and draws again. The results of her experiment are shown below.

Marble Color Number of
Times Drawn
red 5
blue 6
green 4
purple 1
yellow 4
Based on Marcie’s experiment, what proportion of the marbles in the bag would she expect to be purple?

A.
20%
B.
5%
C.
1%
D.
10%

Answers

Answer:

B. 5%

Step-by-step explanation:

add them:

5 + 6 + 4 + 1 + 4 = 20

now use it to divide from the number of times purple is drawn = 1 so,

1/20 =  0.05 = 5%

What is the surface area of the square pyramid, in square inches (Please Help)

Answers

Answer:

220.8 in.²

Step-by-step explanation:

Area of the pyramid = area of the square + 4(area of the triangle)

Area of square = s²

s = 9.2 in.

Area of the square = 9.2² = 84.64 cm²

✔️Area of the 4 triangles = 4(½*bh)

b = 9.2 in.

h = 7.4 in.

Area = 4(½*9.2*7.4) = 136.16 in²

✅Surface area = 84.64 + 136.16 = 220.8 in.²

pls help! one week you spent $24 on 6 metro tickets and 4 bus tickets. the next week you spent $27 on 3 metro tickets and 7 bus tickets. how much would it cost to buy 5 metro tickets and 2 bus tickets?

Answers

Answer:

I will use x for # of subway tickets, and y for # of express bus tickets.

24 = 6x + 4y

27 = 3x + 7y

x = 2

y = 3

16 = 10 + 6

Answer is 16

The price of a necklace was increased by 10% to £121.
What was the price before the increase?

Answers

Answer:

£108.90

Step-by-step explanation:

[tex]121 \times 10\% \\ = 121 \times 0.10 \\ = 108.90[/tex]

3. Determine the area under the standard normal curve to the right of z = 0.55.

a.)0.2912
b.)0.7054
c.)0.7088

Answers

The area under the standard normal cure is. B-) 0.7054

Please help immediately !!

Answers

With what? I don’t see anything

How many faces does the solid made from the net below have? ​

Answers

There are 5 triangles and 1 pentagon for a total of 6

The answer is 6

What is the mean for these numbers?
5,5,5,5

Answers

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT'S A COMPUTER PHONE AND TABLET VIRUS

Answer:

5

Step-by-step explanation:

Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van

Answers

Answer:

C. No, this is not a good statistical question because there are not a.

Step-by-step explanation:

Because you need a big amount of people to ask for it to be a A good statistical question.

Your welcome! Please mark brainliest!

(Or please correct me if I'm wrong)

A rectangular garden has an area of 144ft. If the base is 8ft long, what is the height ?
A.18
B.36
C.64
D.72

Answers

A. 18
Formula for area is LxW.
Divide 144 by 8 and you get 18.

Find the x-intercept of the line whose equation is 8x+2y=4.
1/2
4
2

Answers

Answer:

1/2

Step-by-step explanation:

8x+2y=4

To find x-intercept say y=0 and solve the equation.

8x+2(0)=4

8x=4

x=4/8

x=1/2

Let Y = 0
8x = 4
X = 1/2

help its due in 1 hour !!!​

Answers

Answer:

Hello its 78 I believe good luck!

4.78 times 10 to the 6th power was the largest attendance record of the polar bear express. chilly football extravaganza. 3.98 times 10 to the 6th power attended at the last last pb express event. how many more people were in attendance on the record-setting day?

Answers

9514 1404 393

Answer:

  8×10⁵ = 800,000

Step-by-step explanation:

The difference is ...

  (4.78×10⁶) -(3.98×10⁶) = 0.80×10⁶ = 8×10⁵

8×10⁵ = 800,000 more people attended at the largest extravaganza.

_____

Your calculator (or a spreadsheet) can do the subtraction and display the number in whatever format you want.

A random sample of 10 fields of durum wheat has a mean yield of 39.8 bushels per acre and standard deviation of 3.87 bushels per acre. Determine the 90% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

Ccritical value = 1.833

give three rational Number lying between 1/3 and 1/5​

Answers

I think 4/2/1 I hope that helps I hope you have a wonderful day

Does anybody have the answer

Answers

Answer:

You're answer is right it is -2,2

Step-by-step explanation:

remember x comes before y

Elaine cannot spend more than $90 each
month for her cell phone and text
messaging service. Her plan states that she
has to pay a set fee of $45 for phone
service and $0.05 per text message she
sends. Which inequality represents the
relationship between the number of text
messages she can send each month, t, and
the total amount she can spend for the cell
phone and text messaging service?

Answers

Answer:

b = 90 >- 45 + 0.05t

Step-by-step explanation:

She can't spend more than 90 and this the only equation that makes sense.

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