A soccer ball on the ground was kicked with an initial velocity of 35 ft/sec at an elevation angle of 40º. Create a set of parametric equations to model the path of the soccer ball. Approximately how far away did the soccer ball hit the ground?


19 feet

26 feet

38 feet

52 feet

Answers

Answer 1

Answer:

38 feet.

Step-by-step explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 35 ft/s

Angle of projection (θ) = 40º

Acceleration due to gravity (g) = 9.8 m/s²

Range (R) =?

Next, we shall convert 9.8 m/s² to ft/s². This can be obtained as follow:

0.3048 m/s² = 1 ft/s²

Therefore,

9.8 m/s² = 9.8 m/s² × 1 ft/s²/ 0.3048 m/s²

9.8 m/s² = 32.15 ft/s²

Thus, 9.8 m/s² is equivalent to 32.15 ft/s².

Finally, we shall determine how far away the soccer ball hit the ground (i.e range) as shown below:

Initial velocity (u) = 35 ft/s

Angle of projection (θ) = 40º

Acceleration due to gravity (g) = 32.15 ft/s²

Range (R) =?

R = u² × Sine 2θ / g

R = 35² × Sine (2×40) / 32.15

R = 1225 × Sine 80/ 32.15

R = 1225 × 0.9848 / 32.15

R = 37.5 ≈ 38 feet.

Thus, the soccer ball hit the ground 38 feet away.

Answer 2

Answer:

The anwser is C.

Step-by-step explanation:


Related Questions

Phillip wants to buy a baseball cap. Sales tax in his city is 8%.
Select the prices of all caps Phillip could buy for less than or equal
to $20 once sales tax is added.

Answers

Answer:

Step-by-step explanation:

$18 would work

And anything below that number.

The price for the caps can be $18.

What is Tax?

A tax is a mandatory financial charge or other kind of levy placed on a taxpayer by a government agency to pay for government expenses and other public expenditures.

Given:

Sales tax in his city is 8%.

let the price be x.

x( 1+ 8%) ≤ 20

1.08x ≤ 20

x≤ 18.52

So, x can be 18.52 of less than 18.52.

Learn more about Tax here:

https://brainly.com/question/16423331

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The first team to solve the puzzle AND explain how they solved it will receive the point. Six people, whose names are Fred Alberts, Larry Smith, Brian Martin, Marty Jones, Bill Edison, and John Fox were in an elevator together. No two suspects have the same weight, color shoes, color umbrella, color car, or hair color. The suspect who owns a purple car was wearing tan shoes. The suspect who weighs 180 pounds owns a green car. Brian Martin owns a green car. The suspect who owns a black car was wearing blue shoes. The suspect who weighs 150 pounds was wearing tan shoes. Marty Jones was carrying a purple umbrella. John Fox has red hair. Larry Smith weighs 210 pounds. The suspect who weighs 190 pounds was wearing blue shoes. The suspect who was carrying a red umbrella is not the one who was wearing black shoes. The thief owns a black car. The suspect who owns a white car is not the one who weighs 170 pounds

Answers

Full Question:

Puzzle Details

Elevator Mishap

Six people, whose names are Fred Alberts, Larry Smith, Brian Martin, Marty Jones, Bill Edison, and John Fox were in an elevator together.

Suddenly, the lights went out. When the lights came back on, Fred Alberts' wallet was missing.

Detectives have investigated. They have questioned the suspects, the witnesses, and people who know the suspects. They have collected physical evidence (hair samples, fibre samples, etc.) from the crime scene. They have collected 14 clues, but have not been able to solve the crime.

Therefore, they have called in the world's greatest detective, YOU. You must now examine the clues and solve the crime.

No two suspects have the same weight, colour shoes, colour umbrella, colour car, or hair colour.

The suspect who owns a purple car was wearing tan shoes.

The suspect who weighs 180 pounds owns a green car.

Brian Martin owns a green car.

The suspect who owns a black car was wearing blue shoes.

The suspect who weighs 150 pounds was wearing tan shoes.

Marty Jones was carrying a purple umbrella.

John Fox has red hair.

Larry Smith weighs 210 pounds.

The suspect who weighs 190 pounds was wearing blue shoes.

The suspect who was carrying a red umbrella is not the one who was wearing black shoes.

The thief owns a black car.

The suspect who owns a white car is not the one who weighs 170 pounds.

Bill Edison was wearing brown shoes.

The suspect who weighs 190 pounds is not the one who has red hair.

Answer:

Marty Jones

Explanation:

Given that no two suspects have the same weight, colour shoes, colour umbrella, colour car, or hair colour.

There are six people in the elevator including Fred Albert. Fred Albert was the one whose wallet was stolen and so our suspects are the other five people in the elevator.

We know that the thief owns a black car and he was wearing blue shoes

( since the suspect who owns a black car was wearing blue shoes). The thief also weighs 190 pounds( since the suspect who weighs 190 pounds was wearing blue shoes)

Brian Martin has a green car so he is cancelled out

John Fox has red hair and is cancelled out(since the suspect who weighs 190 pounds is not the one who has red hair)

Bill Edison was wearing brown shoes so he is cancelled out(since thief was wearing blue shoes)

Larry Smith weighs 210 pounds and he is cancelled out( since thief weighs 190 pounds)

We are left with one suspect remaining Marty Jones, hence he is the thief

What is the slope of the line y+3=2(x-2) PLEASE SHOW WORK​

Answers

Answer:

2

Step-by-step explanation:

Put the equation into y = mx + b form, where m is the slope of the line

Distribute 2 to the parentheses:

y + 3 = 2(x - 2)

y + 3 = 2x - 4

Subtract 3 from both sides:

y = 2x - 7

So, the slope is 2.

please helpp:((((((.....

Answers

Answer:

False or it would be 1/2 = 7/14

Step-by-step explanation:


Find the slope: f(-2) = 3 and f(3) = -4*

Answers

Answer:

It's -7/5

Step-by-step explanation:

use rise(change in x) over run(change in y)

Answer:

-7/5

Step-by-step explanation:

work is in the picture

Which of the fractions are equivalent to 6/8 ? Select all that apply.
A) 9/16
B) 15/20
C) 39/48
D) 45/60
E) 48/64
F) 78/104

SELECT ALL THAT APPLY

Answers

Answer:

abcdef

Step-by-step explanation:

Two isosceles triangles are similar. The first
triangle has two sides that measure 6 in. and one
side that is 5 in. The second triangle has two
sides that measure 3 in what is the length of
the missing side on the second triangle?

Answers

i think the answer may be 11

PLEASE HELP ASAP EASY WILL GIVE BRAINLIEST

Answers

It should be x = -2.

3 tacos cost $18. complete the table to show the cost of 4,5 and 6 tacos at the same rate. HELP MEH pweez

Answers

Answer: 12 ,15, 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

which of the numbers is irrational
A.
[tex] \frac{2}{7} [/tex]
B.
-2.7

C.
[tex] \sqrt{7} [/tex]
D.
[tex] 2.7777777....[/tex]

Answers

Answer:

c. √7

Step-by-step explanation:

:)

(-33.28 ÷ -5.2) ÷ -1.6 = ?

Answers

Answer:

-4

Step-by-step explanation:

Use PEMDAS

Answer:

-4

Step-by-step explanation:

answer asap please will mark brainiest

Answers

There’s no question showing up brother

I’m stuck and I would really like your help.

Answers

Answer:

Answer: 1/12

Step-by-step explanation:

2/5x-4=8-3/5x.

We want to tank x out of the denominator by multiplying x on both sides.

2/5-4x=8x-3/5

Now we simplify

-12x=-1

x=1/12

Put x in the equation to check it

Answer:

x= 12

Step-by-step explanation:

2x-20=40-3x  multiply both sides of the equation by 5

2x+3x= 40+20 move the terms

5x= 40+20 collect like terms

5x = 60 add the numbers

5x= 60 divide both sides by 5

x=12

Tim runs a business and he pays his two employees $12.25 an hour for 40 hours a week. He spends an additional 300 dollars on rent, 150 on utilities and 45 on other business expenses per week.
His business makes 240 dollars a day, what is Tims weekly [7 days] profit? (Worth 2 points)


worth all my points

Answers

Answer:

1,160.50 per week

Step-by-step explanation:

He spends $1475 and rakes in $1680, 1680-1475=$205 total profit

What value of x makes this equation true?

-6x + 3 = 45

Answers

Subtract 3
-6x = 42
Divide by -6
x = -7

Answer:

Subtract 3

-6x = 42

Divide by -6

x = -7

Can someone plz help

Answers

Answer:

its an acute angle

Step-by-step explanation:

so whats the answer someone get the answer for this guy

Answer:

x = 15

Step-by-step explanation:

For the lines to be parallel , then

∠ MYX = ∠ PXW  = 11x - 25 ( corresponding angles ) , so

∠ ∠ MYX = ∠ ZYN ( vertical angles ) , substitute values

11x - 25 = 7x + 35 ( subtract 7x from both sides )

4x - 25 = 35 ( add 25 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Lexi took 15 shots on goal during the Columbus Day tournament, and she made 20% of them. How many goals did Lexi score?​

Answers

Answer:

3

Step-by-step explanation:

First, you have to turn the percent into a decimal. Which would give you 0.20. Then multiple 15 by 0.20. Which gives you 3.

I hope this explanation was helpful.

I'll mark you the brainiest if you get this right
thx x

Answers

Answer:

A=99

Step-by-step explanation:

The height is 11cm and the base is 18cm. You multiply 11 times 18, then divide it by 2, which equals 99.

Sarah rides her bike three days a week. She rides for 10 minutes a day. How many minutes does Sarah spend riding her bike after two weeks?

Answers

Answer:

1 hour after 2 weeks

Step-by-step explanation:

She rides 3 days a week, and 10 minutes a day. Multiplying 3 and 10 gets you 30 minutes a week. Over a 2 week period, that is 60 minutes (1 hour)

Answer:

140 mins

Step-by-step explanation:

add 70+20

The graphs of f(x) and g(x) are shown below.
For what interval is the value of (f-9)x) negative?

Answers

Answer:

B, infinity and two

Step-by-step explanation:

Took the test and got it right

A large bucket contains 1 4/5(mixed number 1 and 4/5) pounds of dough.
How many loaves of bread can be made if you need 2/3 a pound of
dough for each loaf?
(The picture are the answers) please help me I’m failing school

Answers

Answer:

2  7/10 loaves

Step-by-step explanation:

2/3 pounds= 1 loaf

1 4/5(9/5)pounds = 9  x  1  

                                 5        

                                    2/3

= 9   /   2   =   9   x   3  =  27

  5        3          5        2        10

= 2 and 7/10 loaves

Write an addition expression with one positive and one negative number that has a sum of 3.

Answers

Answer:

4 + (-1) = 3

Step-by-step explanation:

4 + (-1) = 3

Hope it helps you in your learning process

Answer:

-1 + 4 =3

Step-by-step explanation:

WILL MARK BRAINLIEST! HELP ASAP!!!!

Answers

Can you explain what exactly you need to do because I know how to do this but I need more context

A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply. It is unlikely the point is in region A. It is likely the point is in region C. It is likely the point is in region G. It is impossible for the point to be in region H. It is certain that the point will land in a lettered region.

Answers

Answer:

A,D,E

Step-by-step explanation:

I just took the quiz.

Answer:

A, D, E

Step-by-step explanation:

a number plus 7.1 is less than 5. write this word sentence as an inequality

Answers

Answer:

-2.1+7.1=5

Step-by-step explanation:

What is the mABC? help plz

Answers

Answer:

mB=12-x

Step-by-step explanation:

mA+mC+mB=180

9x-12+5x+24+mB=180

9x+5x-12+24+mB=180

14x+12+mB=180

14x+mB=180-12

14x+mB=168

x+mB=168÷14

x+mB=12

mB=12-x

Solve the problem 3g+7g+8=-10+g

Answers

First simplify like terms (things with the same letter):

3g + 7g + 8 = -10 + g

10g + 8 = -10 + g

Next we should take g off both sides:

9g + 8 = -10

Next isolate 9g by taking 8 off both sides:

9g = -18

Next divide both sides by 9 to find the value of g:

g = -2

HELP ASAP
What is the solution to the equation?

7(1+5m)+2m=7+2m

explain step by step plz

Answers

Answer:

m = 0

Step-by-step explanation:

distribute

7 + 35m + 2m = 7 +2m

add 35m + 2m

7 + 37m = 7 + 2m

subtract 2 from 37m

7 + 35m = 7

subtract 7 from 7

35m = 0

0 ÷ 35 = 0

so technically the answer is 0

I'm not 100% sure but I do believe this is right


Marissa sees a flying saucer. The diameter of the flying saucer is 13
feet.
What is the area of the flying saucer

Answers

Answer:

132.73228961417

Step-by-step explanation:

area = pi/4 * diameter^2(squared)

Estimate the following product in scientific notation, and then select the best answer for the product’s power of 10.


2.7
14
15
27

Answers

..........15 I think ,.....

Answer:

15

Step-by-step explanation:

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