In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?

Answers

Answer 1

Answer:

The ball was 0.5 m above the ground before it was punted.

Step-by-step explanation:

Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is  ht=vt-at

ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes

ht = 13.7t + 0.5 - 4.9t²

ht = 13.7 × 0 + 0.5 - 4.9 × 0²

ht = 0 + 0.5 - 0

ht = 0.5 m

So the ball was 0.5 m above the ground before it was punted.


Related Questions

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

42 square feet

Step-by-step explanation:

the smaller square at the bottom

3 x 2 = 6 square feet

the larger square

3 x11 = 36

add the two areas together

36+6 = 42

The phone company makes 2 defective phones for every 145 made. How many phones will be defective in a batch of 870 phones?

Answers

Answer: 12 defective phones

Steps: Divide 870 by 145.

870 ÷ 145 = 6

6 batches are in this amount. If 1 batch has 2 defective phones, then 6 batches have 12.

Therefore the amount is twelve.

Plz mark brainliest:)

2-10n plez helppppppppppppppppppppp

Answers

Answer:

2-10n=.............what. We can't figure out n given 2-10n without a solution

Step-by-step explanation:

This doesn’t make sense

Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?

Answers

Answer:

18.3

Step-by-step explanation:

384.3 divided by 21

Name the property that the statement illustrates.

Answers

Answer:

Symmetric property of angle congruence

symmetric property of angle congruence

Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).

a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3

Answers

9514 1404 393

Answer:

  a line labeled g of x that passes through points (-1, -2) and (0, 2)

Step-by-step explanation:

We can find the function g(x) to be ...

  g(x) = f(x+1) = 4(x+1) -2

  g(x) = 4x +2

This tells us the y-intercept is (0, 2), so the only viable answer choice is ...

  a line labeled g of x that passes through points (-1, -2) and (0, 2)

Answer:

Your answer would be C:]

Step-by-step explanation:

which line is perpendicular to a line that has a slope of 1/2​

Answers

Line FG is the answer

Answer:

It’s line AB

Step-by-step explanation:

The equation for like AB is y=1/2x+0 and is perpendicular to HJ

Pls answer for brainliest!

Answers

Answer:

h<2

Step-by-step explanation:

5×2h+5×8<60

10h+40<60

10h<60-40

10h<20

10. 10

h<2

Answer:

Step-by-step explanation:

5(2h + 8) < 60

10h + 40 < 60

10h < 30

h < 3

help please i'll love you forever thanksssss . *btw i am going to post a lot of questions if you answer & explain I'll give you brainliest each time .*

Isabella noticed that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour she studies, on average she scores an additional 7 points. Which of the following represents g, get average test score she studied for h hours?

a. 7-5h=g
b. 7+5h=g
c. 45+7h=g
d. 45-7h=g

Answers

Answer:

C. 45 + 7h = g

Step-by-step explanation:

This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.

Example:

Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.

45 + 7(3) = g

Now you just have to solve the equation.

45 + 21 = g

Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.

g = 66

Pls halp due today thank you!

Answers

Answer:

k

Step-by-step explanation:

Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

Will mark brainliest if correct!!!
Evaluate 8a + 3b - 10 + c² when a = 2, b = 5, and c = 4.

Answers

Answer:

37

Step-by-step explanation:

8(2)+3(5)-10+c^2=37

What is X? −7x−8= -10x+4

Answers

Answer: x=4

-7x-8=-10x+4

+8 +8

-7x=-10x+12

+10x +10x

3x=12

3x/3=12/3

X=4

Will give BRAINLIEST if it’s correct pls explain why rol

Answers

she’s serving 20% I know this because there are 5 pieces cut evenly! so 100 divided by 5 is 20.

Answer:

think of the pie as 100, each slice is worth 20 so she served 20% of the pie.

Step-by-step explanation:

Benjamin must have 120 credit hours of instruction to receive his college degree. Benjamin wants to graduate in 8 semesters without attending summer sessions. How many credit hours must Benjamin take on average each semester to graduate in 8 semesters? (8) Simplify this expression: -4^2

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Benjamin must have 120 credit hours of instruction to receive his college degree and that he wants to graduate in 8 semesters without attending summer sessions.

The number of credit hours that Benjamin must take on average each semester to graduate in 8 semesters will be:

= 120/8

= 15 credit hours

(8) Simplify this expression: -4^2. This will be:

= -4 × -4

= 16

Order these in descending order (greatest to least). 1 is the greatest. 2 is the middle. 3 is the least.

Answers

Answer:

3/20 then 0.015 then 0.15%

Step-by-step explanation:

3/20 then 0.015 then 0.15%

3/20 is 0.15

0.15% is .0015

0.015 is 0.015

An empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride . The weight of the flask and carbon tetrachloride is found to be 444.6 g. From this information , calculate the density of carbon tetrachloride .​

Answers

Answer:

The density is 1.59 g/mL. Therefore, the substance will NOT float in water.

Step-by-step explanation:

The following data were obtained from the question:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Mass of CCl₄ =.?

Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)

Mass of CCl₄ = 444.6 – 245.8

Mass of CCl₄ = 198.8 g

Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:

Mass of CCl₄ = 198.8 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Density = mass / volume

Density of CCl₄ = 198.8 / 125

Density of CCl₄ = 1.59 g/mL

The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.

The density of carbon tetrachloride is 1.59 grams per milliliter.

Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:

Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).

(444.6 - 245.8) / 125 = X 198.8 / 125 = X 1.59 = X

Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.

Learn more in https://brainly.com/question/952755

Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?

Answers

Answer:

2.5 miles

Step-by-step explanation:

Let the distance be x

Then Jonathan biked for

x/15 hours

His mother drew for

x/25 hours

The time difference is

1/15 hours

So we have

x/15 - 1/15 = x/25(x - 1)/15 = x/2515x = 25x - 2525x - 15x = 2510x = 25x = 25/10x = 2.5 miles

8 7/90 in decimal form

Answers

Answer:

0.07–

Step-by-step explanation:

The answer is above :)

Answer:

to express in decimal form , we have to join convert the mixed fraction into a improper fraction.

8 7/90 = d * w + n

          =  90 * 8 + 7

        =    720 + 7

          = 727 / 90

 now you have to make the denominator into a mutiple of 10

         = 727 / 90  divided by 9

        =  80 / 10

       = 0.80

Step-by-step explanation:

hope it helps .

how do i do this
10 x 10 x 10 =
10 squared =
10 6

Answers

Answer:

Well 10 to the 6th power right?

Step-by-step explanation:

well u multiply 10x10x10x10x10x10

1000000

im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc

1000000 that is your answer

how do you convert fractions to decimals?​

Answers

Answer: division :3

Step-by-step explanation:

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

What is the domain of f(x)?
O {xl-4 O {xl-3 < x < 4}
O {x|1 < x < 4}
O {x|2 < x < 4}

Answers

The answer is d and if it is not d then it is c.
I hope this helps you

1
4
a +
1
3
a + 8 = 22

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

a=14/27

Decimal Form:

a=0.¯¯¯¯¯¯518

Step-by-step explanation:

i need help with this

Answers

Answer:

1. -9

2. -2

3. -3

4. 2 (positive)

Step-by-step explanation:

positive + negative= positive

negative + positive =negative

positive +positive =positive

negative +negative =negative

hope you like it ( ' - ' )

Write down an example of an equation that has:
a. One solution
b. Two solutions
c. An infinite number of solutions
d. No solutions

Answers

Well one could be like B•A=C•X what is the value of X

Answer:

a. 2x+3=7

b. x^2=9

c. x=x

d. x+4=x+3

Step-by-step explanation:

A) can be proved correct by x=2 as 2(2)=4+4=7

B)x^2=9 can be proven correct by either (3,3) or (-3,-3) as 3*3 is 9 and -3*-3=9 as well because two negatives equal a postive

C) x=x is the simplest equation w/ infinite solutions-you could have 2=2 or 4=4

D) There is no answer that can make this equation correct

Reema spends $19.25 on 100 lead pencils. what is the price of one pencils? round the answer to the nearest penny.​

Answers
$0.02
$0.19
$1.93
$19.25

Answers

0.19 it’s B and I know cause it’s common sense

Answer:

0.19 aka B

Step-by-step explanation:

What is the area of this tile?
10 in.
8 in.
6 in.

Answers

Answer:

I belive the area is 24...........

Step-by-step explanation:

i know it is 24  reason becuase if you add like this (10 + 8) + 6 you get 24 so means the area is 24 inches.

I think answer should be 24 please give me brainlest let me know if it’s correct or not okay bye

i need help with this ​

Answers

Answer:

1. x=9

2. x=2

3. x=6

Step-by-step explanation:

I only know 1-3 sorry, but hope this helps

HELP ME PLS ITS 3AM IM TIRED // geometry HL AND CPCTC

Answers

Answer:

b

Step-by-step explanation:

angle b = angle e = 90 (given) R

if ac = df H

bc = ef (given) S

Which of the choices below best describes the domain and range of this problem. Domain would be tickets sold and range would be amount of money he collected. Elijah has already sold $40 worth of tickets for a local raffle. He has 5 tickets left to sell at $5 per ticket.

Answers

Answer:

Step-by-step explanation:

Amount of ticket sold = $40

If one ticket is $5, we need to know the amount of ticket he sold that fetched Elijah $40

$5 = 1ticket

$40 = x tickets

Cross multiply

5x = 40

x = 40/5

x = 8tickets

If he has 5tickets left to sell at $5 per ticket, the total tickets the sold will be 8+3 = 13 tickets

The domain of the problem will be [1, 13]

For the range:

The amount of the remaining 5tickets will be (5×$5) = $25

Initial amount made = $40

Total amount he collected = $25+$40

= $65

The range if the problem will be [$5, $65]

11 1 point Jannet used 155 beads to create 5 necklaces. How many beads did she use to create 9 necklaces?​

Answers

Answer:

155 bead to create 5 necklace therefore for 9 bead we should divide 155 by 5 and multiply the answer by 9

=155/5*9

=31*9

=279

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