A basketball tosses a ball to a teammate. The ball reaches a maximum height of 11 feet 3 seconds after it was released. If the ball is thrown from a height of 6 feet, write a quadratic equation that represents the height of the ball as a function of time

Answers

Answer 1

Answer:

h = - 16t² + 49.67t + 6

Step-by-step explanation:

The expression for the height of the basketball, h at time, t is given by

h - h₀ = u₀t - 1/2gt² where h₀ = initial height of ball = 6 feet, h = maximum height of ball = 11 feet, u₀ = initial vertical velocity of ball, t = time taken to reach maximum height = 3 s and g = acceleration due to gravity =9.8 m/s².

We need to find u₀ from u = u₀ -

So, h - h₀ = u₀t - 1/2gt²

h - h₀ + 1/2gt² = u₀t

u₀ = (h - h₀)/t + 1/2gt

substituting the values of the variables into the equation, we have

u₀ = (h - h₀)/t + 1/2gt

u₀ = (11 ft - 6 ft)/3s + 1/2 × 32 ft/s² × 3 s

u₀ = 5 ft/3s + 1/2 × 96 ft/s

u₀ = 1.67 ft/s + 48 ft/s

u₀ = 49.67 ft/s

Using h - h₀ = u₀t - 1/2gt² where h is the height of the basketball at time, t

h = u₀t - 1/2gt² + h₀

substituting the values of the variables into the equation, we have

h = u₀t - 1/2gt² + h₀

h = (49.67ft/s)t - 1/2(32 ft/s²)t² + 6 ft

h = 49.67t - 16t² + 6

h = - 16t² + 49.67t + 6


Related Questions

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3 which graph is an example of a function??

Answers

Answer:

The middle one because there is only 1 value of y for every value of x.

Pls help i don’t know how to answer

Answers

Answer:

I'm pretty sure your answer is 3, -4

Step-by-step explanation:

.please solve
b) 3 2/3 - 2 5/6
show steps​

Answers

Answer:

Step-by-step explanation:

3*3+2/3-2*6+5/6

=9+2/3-12+5/6

=11/3-17/6

take lcm of the denominator

=11*2-17*1/6

=22-17/6

=5/6

Answer:

5/6

Step-by-step explanation:

3 2/3 - 2 5/6

= 3 4/6- 2 5/6

=5/6

What is the area of the figure? (PLSSS HELP QUICKLY!!)

Answers

Answer:

416 cm^2

Step-by-step explanation:

The formula for the area of a trapezoid is:

[tex]\frac{(b1+b2)*h}{2}[/tex]

where b1 and b2 are the bases and h is the height. We can plug what we have into the formula:

[tex]\frac{(14 + 38)*16}{2}[/tex]

[tex]\frac{(52)*16}{2}[/tex]

[tex]52*8[/tex]

416 cm^2

Find the surface area of the rectangular prism.
9mm on the left side 3mm tall and 13mm wide

Answers

Surface area of rectangular prism= 2(wl+hl+hw)

So,

➠ 2(13×9 + 3×9 + 3×13)

➠2 × 183

Ans ➠ 366mm²

Answer:

[tex]Area = 3.66 * 10^{-2}[/tex]

Step-by-step explanation:

Formula to find area of rectangular prism:

[tex]A = 2(wl+hl+hw)[/tex]

Add the values in the formula & solve:

[tex]A=3.66 * 10^{-2}[/tex]

I hope this helps :)

If you can travel 120 miles in 3 hours (180 minutes), what is the distance you could travel in 75 minutes
a. 50 miles
C. 70 miles
b. 60 miles
d. 80 miles

Answers

Answer:

[tex]Speed = \frac{Distance}{Time } = \frac{120}{3} = 40mph[/tex]

T = 75minutes = (75/60) hours

[tex]Distance = Speed \times Time = 40 \times \frac{75}{60} =\frac{40\times 75}{60} = 50miles[/tex]

option A

Answer:

B. 60 miles

Step-by-step explanation:


Victor just bought a new television for $738.00. He made a down payment of $78.00 and will pay monthly payments of $30.00 until it is paid off.
How many months will Victor be paying? (Assume that Victor pays no interest.

Answers

Answer:

22

Step-by-step explanation:

738.00 - 78.00 =  660

Am subtracting because he made a down payment so I can get  the remaining of the money.

Let x = # of months

You use the remaining of the money to divide by 30 because of his monthly payments.

660 / 30x =

x = 22

Divide by 30 to isolate the variable x.

Help! How many pairs are circled?

Answers

Answer:

41

Step-by-step explanation:

A particle travels along the x-axis such that its position at time t is given by the function x(t) = 2€ + t. What is the average

speed of this particle over the interval 2 sts 10?

4

25

32

200

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

The function is not clear, so I will use:

[tex]x(t) = 2+ 3t + t^2[/tex]

Required

Speed over 2 to 10s

This is calculated as:

[tex]Speed = \frac{x(a) - x(b)}{a - b}[/tex]

Where

[tex](a,b) =(2,10)[/tex]

So, we have:

[tex]Speed = \frac{x(2) - x(10)}{2 - 10}[/tex]

[tex]Speed = \frac{x(2) - x(10)}{-8}[/tex]

Calculate x(2) and x(10)

[tex]x(2) = 2+ 3*2 + 2^2 =12[/tex]

[tex]x(10) = 2+ 3*10 + 10^2 =132[/tex]

So, we have:

[tex]Speed = \frac{12 - 132}{-8}[/tex]

[tex]Speed = \frac{-120}{-8}[/tex]

[tex]Speed = 15[/tex]

Write the correct order of letter to the finish line! Urgent help btw it’s not L

Answers

Answer: hello your question is incomplete attached below is the complete question

answer : AEIJKGFCH

Step-by-step explanation:

The first Image is the first part of the question, to write the correct order of letter to the finish line, we will use the details on the first image.

Hence the Correct order of letter to the Finish line: AEIJKGFCH

Someone please help me thank you


5x5

Answers

Answer:

25

Step-by-step explanation:

can someone help a brotha out

Answers

Answer:

x = 5

y = 6

Step-by-step explanation:

Let's Solve for x-value first:

By the midsegment theorem we can say;

18 = 2x + 8

18 - 8 = 2x

10 = 2x

10/2 = x

5 = x

Now that we have x-value, let's figure out y-value similarly;

22 = 4y - 2

22 + 2 = 4y

24/4 = y

6 = y

There is the answer!

x = 5, and

y = 6

Hope this helps!

X°, y° and z °are three angles lying on a straight line having vertices at same point. If y° =45° and z °=86°. Find the value of x.

Answers

Answer:

49degrees

Step-by-step explanation:

The sum of angle on a straight line is 180degrees, hence;

x + y + z = 180

x + 45 + 86 = 180

x + 131 = 180

x = 180 - 131

x = 49degrees

Hence the value of x is 49degrees

Delia flew 2,416 miles the first year on the job. She flew 3,719 miles the second year. Delia flew 2,076 more miles the third year than the first and second years combined. How many miles did Delia fly the third year?

Answers

Answer:

8211 miles

Step-by-step explanation:

Delia flew 2416 miles on the first year of the job

She flew 3719 miles on the second year of the job

She flew 2076 miles more than the first and second year combined on the third year

= 2416+3719

= 6135

= 6135+2076

= 8211

Hence Delia flew 8211 miles on the third year

Lola rolls two fair number cubes. What is the probability that the two numbers Lola rolls include at least one 4 and have a product of at least 16?

Answers

Lola rolls two fair number cubes what is the probability that the two numbers Lola rolls include at least one 4 and have product of at least 16? Probably half of a chance

Please help I will give brainliest

Answers

Answer:

ez

Step-by-step explanation:

ez

x=y-8 7x+2y=16 what is the answer???

Answers

Answer:

x = 0 , y = 8

Step-by-step explanation:

x = y - 8 -----(1)

7x + 2y = 16 --------(2)

Substitute (1) in (2)

7(y - 8) + 2y = 16

7y - 56 + 2y = 16

9y = 72

y = 8

Substitute y in (1)

x = 8 - 8 = 0

Determine the approximate area of trapezoid

Answers

Answer:

25 squared cm

Step-by-step explanation:

Use the formula A = [tex]\frac{1}{2}[/tex]h ([tex]b_{1} + b_{2}[/tex])

h = height

[tex]b_{1}[/tex] = base 1

[tex]b_{2}[/tex] = base 2

A = [tex]\frac{1}{2}[/tex] (5) (7.2 + 2.8)

A = 25

60 POINTS TO QUICKEST AND CORRECT ANSWER!
Let f(x)=2x and g(x)=2x. Graph the functions on the same coordinate plane. What are the solutions to the equation f(x)=g(x) ? Enter your answers in the boxes. x = or x =

Answers

Answer:

x=2

Step-by-step explanation:

Since the are the same equation they are already equal

Answer:

x=2

Step-by-step explanation:


Chris found the equation of a trend line. The equation
is shown below. y= 3x + 10. If x is 5, what is the
predicted value of y?

Answers

The predicted value of y = 25

y = 3(5) + 10
= 15 + 10
= 25

Answer:

y = 25

Step-by-step explanation:

Substitute x = 5 into the equation for value of y

y = 3(5) + 10 = 15 + 10 = 25

A girl works a basic week of 40 hours and her basic rate is $6.25 per hour. Calculate her basic wage for the week​

Answers

Answer:

$250

Step-by-step explanation:

To find the total multiply 6.25 and 40 together

6.25x40

$250 (Don't forget the dollar sign)

Answer:

250

Step-by-step explanation:

If she work 40 hours and earns $6.25 per hour for 40 hours you multiply howmuch she makes by the amunt of time she worked, so 6.25x40 = 250

Solve by using substitution

y=2x
3x-y=3

Answers

answer:

x = 3

y = 6

step-by-step explanation:

we have two equations —

y = 2x

3x - y = 3

we have to use substitution so we will replace y with 2x since y = 2x

3x - 2x = 3

now that we have like terms, we can solve this to find x

3x - 2x = 3

x = 3

now, we will use this to find y

y = 2x

y = 2(3)

y = 6

what is the function ???? please help fast

Answers

Answer:

hope it's helpful my dear gana

What is the surface area of the solid that this net can form?

Answers

you just find the surface area for each rectangle/square and then add them together

5x8=40

5x8=40

25x5=125

8x25=200

5x25=125

8x25=200

add those numbers and you get 730 :)

Jay, Sheila and Harry share £7200 in the ratio 1 : 2 : 5. How much does Harry receive?

Answers

Answer:

Harry receives £4500

Step-by-step explanation:

Sum of the ratio = 8

Total amount - 7200

[tex]Jay's\ share = \frac{1}{8} \times 7200 = 900\\\\Sheila's \ share = \frac{2}{8} \times 7200 = 2 \times 900 = 1800\\\\Harry 's \ share = \frac{5}{8} \times 7200 = 5 \times 900 = 4500[/tex]

someone pls help!

Exponential function fis represented by the table.
Х
-2
-1
0
1
2
f(x)
-46
-22
-10
-4
-1
Function g is represented by the equation.
I
g(x) = -18
18(1) + 2
Which statement correctly compares the two functions on the interval [-1, 2]?
ОА.
Both functions are increasing, but function fincreases at a faster average rate.
OB.
Only function fis increasing, but both functions are negative.
OC.
Both functions are increasing, but function g increases at a faster average rate.
OD.
Only function fis increasing, and only function fis negative.

Answers

Answer:

okkkkk

wait

helping see the attachment

The statement that correctly compares the two functions on the interval [-1, 2] is that Both functions are increasing, but function g increases at a faster average rate.

How do you know an exponential function?

Exponential functions are kwon to be a type of function that is often written in the form: y = abx.

Where:

b = constant ratio.

a = initial value.

One can known this function if a given table of ordered pairs, has  x increasing by a constant value and the value of y increases by a common ratio.

From the Exponential table, we can see that the two functions (x, fx)are increasing, but only that of function g was said to have increases at a faster average rate.

Learn more about Exponential function from

https://brainly.com/question/12940982

In the Tide Pool tank at the Atlantic Aquarium, there are 10 crustaceans and 25 fish. The Deep Blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the Deep Blue tank.
How many fish are in the Deep Blue tank?

Answers

Answer:

It would be 125 fish.

Step-by-step explanation:

This is because since there are 10 crustaceans for every 25 fish, there are 2.5 times more fish than crustaceans. Therefore, if there were 50 crustaceans, you would do 50 * 2.5 to get 125 fish.

18. What is the greatest common factor of the terms 6q^5 – 21q^4 - 15q^2
A. 3q^2
B. 6q^2
C. 3q
D. 2q^2​

Answers

Answer:

A. 3q^2

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

I WILL WORSHIP U PLS WHATS THE ANSWER

Answers

Huh what is it I cant see

Answer:

A. is not true

Step-by-step explanation:

[tex]\angle{BCA}[/tex] appears to be acute, and [tex]\angle{BCD}[/tex] appears to be its obtuse supplement.

Just to be sure the diagram isn't lying to you, set this up:

4x + 9 + (9x - 11) = 180

13x - 2 = 180

13x = 182

x = 14

[tex]m\angle{BCA}=65^\circ\\m\angle{BCD}=115^\circ[/tex]

Those two angles are not congruent.

find the total cost if a pair of shoes cost $49.95 and the tax is 5.5%

Answers

Answer:

52.70

Step-by-step explanation:

49.95x.055=2.75 tax

49.95+2.75=52.70 total costs

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