A lacrosse player throws a ball into the air from a height of 8 feet with an initial vertical
velocity of 32 feet per second. What is the maximum height of the ball? When will the ball hit the ground?

Answers

Answer 1

Answer:

256

Step-by-step explanation:

Read the answer carefully and then you'll know hey i need to multiply 8 times 32.

And what do you get...... 256
Answer 2

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]

In which:

[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.

In this problem:

Height of 8 feet, thus [tex]h_0 = 8[/tex].Initial velocity of 32 feet per second, [tex]v_0 = 32[/tex]

The equation is:

[tex]h(t) = -4.9t^2 + 32t + 8[/tex]

Which is a quadratic equation with [tex]a = -4.9, b = 32, c = 8[/tex].

The maximum height is the output of the vertex, which is:

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Then, with the coefficients of this question:

[tex]h_{MAX} = -\frac{32^2 - 4(-4.9)(8)}{4(-4.9)} = 60.2[/tex]

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which [tex]h(t) = 0[/tex], thus:

[tex]\Delta = b^2 - 4ac = 32^2 - 4(-4.9)(8) = 1180.8[/tex]

[tex]t_{1} = \frac{-32 + \sqrt{1180.8}}{2(-4.9)} = -0.12[/tex]

[tex]t_{2} = \frac{-32 - \sqrt{1180.8}}{2(-4.9)} = 3.39[/tex]

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

A similar problem is given at https://brainly.com/question/24626341


Related Questions

How to find the slope for (2,2) and (-1,2)

Answers

Answer:

Slope = 0

slope is the same as gradient, so you will use the formula

M = y2 - y1 / x2 - x1         in this case (2,2)          and (-1.2)

    the first 2,is x1.then the other 2 in the first coordinate is y1 , for the last coordinate -1 is x2 and 2 is y2, use the formula I gave you , you will see that the answer is 0

Paragraph One

He drives a racecar 80 miles per hour. He motivates audiences of hundreds. He's earned awards for his performance on and off the racetrack, and he's traveled the country to compete. Did we mention that he's 13 years old? One look at his accomplishments and it is easy to see that Noah "Little Gator" Cornman is on the fast track to success. "Little" might be a part of his nickname, but it does not describe his determination to succeed and his heart to make a difference for kids like him.

In paragraph 1, which sentence implies that the author is impressed with the teen's accomplishments?

He drives a racecar 80 miles per hour.
He motivates audiences of hundreds.
Did we mention that he's 13 years old?
He's traveled the country to compete.

Answers

Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

because he inspire alot of people by driving a racecar 80 mph that is fast for a kid at his age.

Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

Did this in middle school 1 year ago it right

Solve x2 - 10 = 0. If necessary, round to the nearest hundredth.

Answers

9514 1404 393

Answer:

  3.16 or -3.16

Step-by-step explanation:

Add 10 and take the square root.

  x^2 = 10

  x = ±√10 ≈ ±3.16

x is 3.16 or -3.16

Select the correct answer.
What is the value of y?
A.3
B.8
C.4
D.16

Answers

A. It’s 3..............

Write an equation of the line that passes through (1,2) and is parallel to the line y = -5x+4

Answers

Answer:

y =-5x + 7

Step-by-step explanation:

y = -5x + 4

Slope = -5

Parallel lines have same slope

Slope of the parallel line to this line = -5

(1 , 2)

y -y1 =m(x - x1)

y - 2 = -5(x - 1)

y -2 = -5x + 5

   y = -5x + 5 + 2

  y = -5x + 7

If x+3/3 = y+2/2, then x/3 = ______

Answers

X+1=y+1

X-Y= 0

Hope this helped you

A cube has a side length of 4 feet. What is the volume of the cube?
48 ft3
64 ft3
96 ft3
12 ft3

Answers

Answer:

64 square ft^3

Step-by-step explanation:

If the side lengh is 3 then you would have 4^3 which is 64.

Answer:

64

Step-by-step explanation:

Mac Cosmetics sells a lip gloss for $15.50, but it only costs the company $6 to make it. What is the percentage markup on the lip gloss? Show all of your work and record your final answer in the space below. ​

Answers

Answer:

258 percent

Step-by-step explanation:

15.5/6 is 2.58, which is 258 percent

Maria has 64 flowers. She makes 8 bouquets with the flowers. How many bouquets of flowers will she have if she has 80 flowers?​

Answers

Answer:

10 bouquet of flowers

Step-by-step explanation:

64÷8=8

80÷8=10

URGENT PLEASE !!!! Please answer correctly !!Will mark Brianliest !!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Square Root of 85

Tell me 5 things you have learned about scientific notation.... pls

Answers

Answer: 1) If the decimal is being moved to the right, the exponent is negative. 2) It’s it’s moved to the left, the exponent is positive.

Step-by-step explanation:

fnejfkenfejdb that’s all I know that is correct.


Three sides of a kite measure 8 inches, 10 inches, and 8 inches. What is the perimeter of the kite?
A 26 inches
B. 28 inches
C. 34 inches
D. 36 inches

Answers

Answer:

26

Step-by-step explanation:

8+10+8=26

The Perimeter of the Kite whose dimensions 8 in., 10 in. and 8 in. is 26 inches.

What is the Perimeter of Kite?

A kite has two pairs of equal size. Total distance around the outside is called the perimeter of a kite. This distance can be found by calculating the sum of the lengths of each pair.

Here, the perimeter of kite = a + b + c

                                              = 8 + 10 + 8

                                             = 26 inches.

Thus, the Perimeter of the Kite whose dimensions 8 in., 10 in. and 8 in. is 26 inches.

Learn more about Perimeter of Kite from:

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who can help me with some math homework

Answers

I can help you, if it’s not too hard for me :))

Answer:

I can help you dude if any trouble (:

The list price on a winter coat is $84. It is being sold at a 23% discount. What is the sale price of the coat?
A)$64.68
B)$61.32
C)$47.48
D)$22.68

Answers

Answer:

A) $64.68

Step-by-step explanation:

Note that 23% = 23/100 = 0.23

First, multiply $84 with 0.23:

84 x 0.23 = 19.32

Next, subtract 19.32 from the total cost:

84 - 19.32 = 64.68

A) $64.68 is your answer.

~

Answer:

A)$64.68

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocelyn the correct solution.

Answers

Complete Question:

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.

We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle

Answer/Step-by-step explanation:

Jocelyn used a wrong equation and statement.

Here's what she should have stated and done.

Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².

Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.

Therefore, in this case,

c = 45

b = 27

a = 36

Thus, what we need to check to be true would be:

36² + 27² = 45² (this is where Jocelyn made a mistake. Jocelyn wrote 27² + 45² = 36² rather)

Let's check if it's true.

2,025 = 2,025 (this is true)

Therefore, the triangle is a right triangle.

2y-4x=-18 slope intercept form

Answers

Answer:

y=−2x−9

Step-by-step explanation:

Hello,

Solving Process:
1. Isolate y
2. Make coefficient of y equal 1

Steps:
1. (2y - 4x) / 2 = 18 / 2
2. y - 4x = 9
3. y = 4x + 9 <<<<

Good luck to you!

Yoo Helpppp meee outt

Answers

Answer:

I going to go with B $2378.30

Answer:

I going to go with B $2378.30

Step-by-step explanation:

what is x? (7x+1)=(9x-7)

Answers

Step-by-step explanation:

Given

7x + 1 = 9x - 7

9x - 7x = 1 + 7

2x = 8

x = 8 / 2

x = 4

Hope it will help :)❤

12 NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

x = 4

8(4) - 2 = 30

15(4) = 60

All triangles equal 180 degrees and there is already a right angle. 60 plus 0 is 90, and 90 plus 90 (or 90 times 2) is 180

60 + 30 = 90

90 + 90 = 180

Step-by-step explanation:

How do i find "40% is 80 of what number?"

Answers

Answer:

hhhsunf

Step-by-step explanation:

The Answer
Look it up

Please Help!!! I'll give brainliest

Answers

Please see photo hope it helps

GIVING 20 POINTS, HELP ASAP!! DUE IN 45 MIN!!!!!

Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The graph below represents what Health Club B charges.

Answers

The equation of line is solved and Health Club B costs $ 7 less in monthly membership fees that Health Club A

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , 106 )

Let the second point be Q ( 6 , 187 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 187 - 106 ) / 3

Slope m = 27

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 106 = 27 ( x - 3 )

y - 106 = 27x - 81

Adding 106 on both sides , we get

y = 27x + 25   be equation (1)

Now , let the equation of line be represented as B

And , the value of B is

Let the first point be R ( 3 , 105 )

Let the second point be S ( 6 , 165 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 165 - 105 ) / 3

Slope m = 20

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 105 = 20 ( x - 3 )

y - 105 = 20x - 60

Adding 105 on both sides , we get

y = 20x + 45   be equation (2)

Now , when x = 1

Substitute the value of x = 1 in equation (1) and equation (2) , we get

y₁ = 27 + 25 = $ 52

y₂ = 20 + 45 = $ 65

So , health club B costs $ 7 less than health club A every month

Hence , the equation of lines is solved

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What is the next term of the geometric sequence?

48,-36,27....

Answers

Answer:

-15 is the next number in the sequence

LE
Majid rents a bicycle to ride around the city.
There is AED 80 deposit plus AED 22 per hour charge.
If Majid pays AED 146, Majid can ride the bicycle for
hour
B
22
12
80

Answers

Answer:

3 hours

Step-by-step explanation:

The rent of the bicycle comes with a charge of:

Initial deposit = AED 80

cost per hour = AED 22

If Majid pays AED 146, then;

AED 146 - AED 80 = AED 66

Given that the charge per hour is AED 22, then to determine the number of hours that Majid can ride;

number of hours = [tex]\frac{AED 66}{AED 22}[/tex]

                            = 3

Majid would be able to ride the bicycle for 3 hours when he pays AED 146.

A restaurant has a total of 30 employees there are 14 who work in the evening and the rest work during the day what is the ratio of employees who work in the evening to employees who work during the day?



A: 7:8
B: 7:15
C: 8:7
D: 8:15

Answers

A is the answer I hope it’s correct

lillian works 7 hours each day for 5 days a week. she earns £420 each week. how much does she earn per hour?


need ASAP I will mark beainlist for correct t answer​

Answers

Answer:

Lillian gets paid $12 an hour.

Step-by-step explanation:

I multiplied 7 times 5, which gives you 35. The you divide 420 by 35, which then gives you 12 dollars

• 1.Find the scale factor of a blueprint if the scale is 3 inches = 6 feet. A. 1/2 B. 1/24 C. 1/3 D. 1/72

Answers

Answer:

B. 1/24

Step-by-step explanation:

Given: 3 inches = 6 feet

Convert 6 feet into inches.

6 feet = 72 inches

3/72. Simplying it, you get 1/24

PLEASE ANSWER WILL GIVE POINTS!!!!!!!!!!!!!!!!

Answers

(7)From the diagram

cos 34=y/37

y=37 × cos34

y=30.673 approximately 31

and x+y=52

therefore we have our x=21 and y=31

Please help me i really need it please

Answers

Answer:

1. 12 outcomes 2. 24 outcomes

Step-by-step explanation:

HELP ANSWER GETS BRANLIEST ANSWER!

Answers

Answer: -5/4

Step-by-step explanation: You can use the graph to count the slope. The change in y is -5 and the change in x is 4, and slope is change in y over change in x.

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