Alacrosse player throws a ball in the air from an initial height of 7 feet.
The ball has an initial vertical velocity of 90 feet per second. Another player catches the ball when it is 3 feet
above the ground. How long is the ball in the air? Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

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.

In which:

is the initial velocity.

is the initial height.

In this problem:

Height of 8 feet, thus .

Initial velocity of 32 feet per second,  

The equation is:

Which is a quadratic equation with .

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

Then, with the coefficients of this question:

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which , thus:

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

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

Step-by-step explanation:


Related Questions

which points of concurrency are always inside the triangle?

Answers

Answer: The centroid is the point of concurrency of the three medians in a triangle. It is the center of mass (center of gravity) and therefore is always located within the triangle.

Perpendicular bisectors: acute/right/obtuse …… ...

Construction: Location of Point of Concurrency

Explanation: The point of concurrency is the point where three or more lines, segments, or rays intersect forming a point. Out of the four namely the Centroid, Incenter, Circumcenter, and Orthocenter, only the Centroid and Incenter is always located inside the triangle.

Centroid: where the medians intersect.

Incenter: where the angle bisectors intersect.

Step-by-step explanation. Hope this helps lol!

Can someone help me pls!? Question 5 (Essay Worth 5 points) Determine the answer to (-5) + 4 and explain the steps using a number line​

Answers

Answer:

-5+4= -1

Step-by-step explanation:

On a number line, look at -5, then add 4 to that, aka moving it up 4 places. -1 would be where it ends up.

Find the measure of X

Answers

Answer:

x = 6

Step-by-step explanation:

When parallel lines are intersected by a transversal

alternate exterior angles are congruent

Therefor

15(x + 2) = 120

Divide both sides by 15

x + 2 = 8

Subtract 2 from both sides

x = 6

Answer:

Step-by-step explanation:

here 120 degrees would be the same as 15(x+2)

Just like how angle R on the other side of 120 Degrees is the same

so 15(x+2) = 120 degrees

let us distribute

15x +30 = 120

      -30     -30

15x=90

15x/15=90 /15

x=6

so what you have selected is correct

Which two ratios make a proportion. a) 9÷12 and 15÷20 b) 4/25 and 17/101


PLZ ANSWER QUICK will mark branilyist.

Answers

Answer:

I think the answer would be b

5y+40z what is the factor

Answers

Answer:

the factored form is 5(y + 8z)

Step-by-step explanation:

Because 5 divides evenly into both 5y and 40z, the GCF is 5 and the factored form is 5(y + 8z)

hurry please im dead meat if i cant do this picture below

Answers

Answer:

4 divided by 1/8

hope it helps

Step-by-step explanation:

PLZZZZ HELPPPP MEEEEEE​

Answers

Answer:

13

Hope this helps, have a nice day/night! :D

If it helped, please mark as brainliest!

I'll mark u as brainliest pls help with these 2 questions ​

Answers

Answer:

3, 10

Step-by-step explanation:

1.

5x-1=14 ->

5x=15 ->

x=3.

2.

15+3x=45 ->

3x=45-15=30 ->

3x=30 ->

x=10.

Hope that help! :)

Answer:

1.) x=3

2.)x=10

Step-by-step explanation:

for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14

for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.

If
x
=
5
and
y
=
7
, evaluate the following expression:
100

3
(
3
y

4
x
)

Answers

Answer:

97

Step-by-step explanation:

100-3(3y-4x)

97(3×7-4×5)

97(21-20)

97(1)

=97

please give me the correct answer. T^T

Answers

Answer:

All pairs of corresponding sides are congruent

Step-by-step explanation:

∠A≅∠D

∠B≅∠E

∠C≅∠F

I 3) Give the steps you will use to separate the variable and the solve the equation.
a) у/3 = 4
b) Zn - 6 = 8
pls pls pls pls give step by step answer I will mark brainlist ​

Answers

(1)

Multiply both sides by 3

y = 4 * 3

Simplify 4 * 3 to 12

y = 12

(2)

There are two possibilities for both z & n.

Solving for z:

add 6 to both sides

2n = 8 + 6

simplify 8 + 6 to 14

zn = 14

divide both sides by n

z = 14/n

Solving for n:

add 6 to both sides

zn = 8 + 6

simplify 8 + 6 to 14

zn = 14

divide both sides by z

n = 14/z

Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot and
enter the number only.

I need the answer quick please!

Answers

Answer:

125.1698 Ft

Step-by-step explanation:

Solve for x
9(x + 5) = -9

Answers

Answer:

x = -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

9(x+5)=−9

(9)(x)+(9)(5)=−9(Distribute)

Step 2: Subtract 45 from both sides.

Step 3: Divide both sides by 9.

Hello there! :)

9(x+5)=-9

Use the Distributive Property:

9(x+5)=-9

9x+45=-9

9x=-9-45

9x=-54

Divide both sides by 9:

x=-6

Hope it helps you! :) Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

find the area of the largest square that can be cut from a circle of radius 18

Answers

Answer:

approx 161.3 square units

Step-by-step explanation:

the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7

these four triangles would produce a square with sides of 12.7 units

so area would be 12.7² or approx 161.3 square units

watch out for people who post links as an answer to your questions. they will mess up your account​

Answers

Answer:

OK THX

Step-by-step explanation:

Andrew owns stock in Hyren Airlines and as a result gets paid dividends worth $539. 70 every year. If Andrew owns 105 shares of Hyren Airlines, how big is the dividend each share yields? a. $3. 60 b. $2. 78 c. $5. 67 d. $5. 14.

Answers

Answer:

the answer to your question is B $3.60

Answer the questions below, no links.

Answers

Answer:

[Graph] See attached

[Question] A, C, & E

Step-by-step explanation:

[Graph] 0.4 -> 2/5

     () It will go through the origin (0, 0) because we have no b, or y-intercept

     () From (0, 0) it will go 2 up and 5 over, 2 up and 5 over, etc etc

     () See attached

[Question]

     () A, C, E

     () It is proportional (one to one as it is a straight line) so A is correct

     () The slope in y = mx + b is m, and our m is 0.4 so it is the slope

     () 3 * 0.4 = 1.2, so E is correct

if f(n) = -6n + 2, find t 5/6

Answers

So you need to add 6n with +2 then 5-7

please calculate the area for this triangle

Answers

Answer:

30

Step-by-step explanation:

The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle? ​

Answers

length=22m

breadth=14.67

3. Consider the product -11 7 6/7.
(a) Determine the product by rewriting the mixed number and applying the distributive property. What is the product?
(b) Multiply the integer and mixed number by multiplying fractions. What is the product?

Answers

Answer:

Did you get the answer to this. I am struggling on this as well.

Step-by-step explanation:

angel 1 and angel 2 form a right angle. Writ a conjecture about each value or geometric relationship

Answers

Answer:

it's angle not angel.

Step-by-step explanation:

Evaluate the expression-3 x + 4 when x = 2.

Answers

Answer:

-2

Step-by-step explanation:

-3x + 4

-3(2) + 4

-6 + 4

-2

Substitute in 2 for x, and solve.

-2 (hope this helps)

CHINESE SOCIAL CREDIT POINTS

What do you think about Mao Tse-tung

Answers

Answer:Stuff Step-by-step explanation:

3.) What would 9 gallons of gas cost at $2.12 per gallon? *
$18.80
O $17.56
$19.08
$11.12

Answers

Answer:

19.08

Step-by-step explanation:

each gal = $2.12

gals filled = 9

9 x 2.12 = 19.08

This table shows the input and output values for a linear function f(x).

What is the difference of outputs for any two inputs that are one value apart?

A. -5
B. 1
C. 21.2
D. 27.2

Answers

Answer:

C

Step-by-step explanation:

The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.

PLZZZ I need help on this. I have to answer it in less than 10 minutes. I have short term memory loss and forgot everything I learned on this subject

Answers

Answer:the question is not there

Step-by-step explanation:

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Answer: 250=70x+50 For A

Step-by-step explanation:

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

3 out of 20 apples are bad what percentage are bad​

Answers

Answer:

15% or 0.15

Step-by-step explanation:

3/20 = 0.15

How many prime numbers are there between 50
and 75?

Answers

Answer:

All the prime numbers between 50 and 75 are 53, 59, 61, 67, 71 and 73.

Step-by-step explanation:

Answer:

51 53 57 59 61 69 71 73 these are the prime numbers

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