A boy is playing ball in a garden surrounded by a wall 2.5 m high kicks the ball vertically up from a height of 0.4 m with a spee d of 14 m/s.For how long is the ball above the height of the wall .

Answers

Answer 1

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)

[tex]V^{2}[/tex] = 196 - 41.202

[tex]V^{2}[/tex] = 154.8

v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

a = -9.81 m/s^2

0 = [tex]14^{2}[/tex] + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]

7.49 = (0 x t) +  [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )

7.49 = 0 + 4.9[tex]t^{2}[/tex]

[tex]t^{2}[/tex]  = 7.49/4.9 = 1.53

t = [tex]\sqrt{1.53}[/tex] = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec


Related Questions

HELP ME FOR BRIANETEST

Answers

As indicated on the number line 1/3 is the same as 2/6 so we get

Answer: 2/6 + 5/6 = 7/6

Correctly identify the first step in solving the system of equations by using the elimination method given the following equations:

5x+y=5
10x+3y=20

Answers

Answer:

x=-1 and y=10

Step-by-step explanation:

-3(5x+y=5)

10x+3y=20

-15x-3y=-15

10x+3y=20

10x-15x+3y-3y=20-15

-5x=5

x=-1

5x+y=5

(-1)5+y=5

-5+y=5

y=10

I need help pleas help me it’s worth 38 pointsss I need help asap

Answers

Answer:

C

Step-by-step explanation:

The parent graph of this function is the absolute value, or |x|. However, it is shifted 8 units to the right and 2 units up. Therefore, the equation of this function is y=|x-8|+2, or answer choice C. Hope this helps!

5. Write down the nth term of each of the following G.Ps
whose first two terms are given as follows. Also find
the term stated besides each G.P. i) 12,-3b,......sixth term​

Answers

Answer:

1i) nth term = 12(-b/4)^(n-1)

ii) nth term = 3(-1/9)^(n-1)

2i) Sixth term= (-3b^5)/256

ii) Eight term = -1/1594323

Question:

The complete question as found on brainly (question-10746111):

Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.

i) 12,-3b,......sixth term

ii) 3,-1/3,..........;8th term?

Step-by-step explanation:

1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.

i) 12,-3b,......;sixth term

1st term = a= 12

r = common ratio = 2nd term /1st term

r = -3b/12 = -b/4

Then we would find the nth term

See attachment for details

ii) 3,-1/3,..........;8th term

1st term = a= 3

r = common ratio = 2nd term /1st term

r = (-⅓)/3 = (-⅓)(⅓) = -1/9

Then we would find the nth term

See attachment for details

2) we are to determine the sixth term in (i) and eight term in (ii)

See attachment for details

Sixth term= (-3b^5)/256

Eight term = -1/1594323

What does BC equal? Round your answer to the nearest tenth.
A. 22
B. 15.01
C. 2.14
D. 455

Answers

[tex]answer \\ = 15.01 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Question 9
1) Which number is a rational number?
134
49
9
13
2
16​

Answers

Answer: all of them

Step-by-step explanation:

Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.

What is the value of x in trapezoid ABCD?
x=15
x=20
x=45
X=60

Answers

Answer:

A. X = 15 is the correct answer.

Step-by-step explanation:

It's the only one that really makes sense.

Hope this helped :) :)

Answer:

15

Step-by-step explanation:

Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national rental car company that charges a 12$ daily fee plus .30 per mile, he also find a rental car company that charges a 10$ daily fee, plus a .40 per mile under what conditions would it be less expensive to rent from the national car company?

Answers

Answer:

When Jeff travels more than 20 miles

Step-by-step explanation:

Let 'x' be the number of miles traveled by Jeff.

In order for the national car company to be less expensive, then the following condition must be met:

[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]

This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.

What two whole, positive numbers that have a one-digit answer when multiplied and a two-digit answer when added?

Answers

Answer:

1 & 9

Step-by-step explanation:

I believe that the numbers 1 and 9 fit the statement- as they would be 1 x 9= 9 and 1 + 9=10.

Hope this helped!! Please mark as Brainliest and/or give a rating !! Thank You :)

Find the solution of ×\2-1/5=×\3+1/4 please help me with this​

Answers

Answer:

[tex]x=\frac{27}{10}[/tex]

Step-by-step explanation:

Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]

First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator

[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]

Now, we can multiply each side by 60, which will remove the fractions

[tex]30x-12=20x+15[/tex]

Now we can add 12 to each side

[tex]30x=20x+27[/tex]

Now subtract 20x from each side

[tex]10x=27[/tex]

And lastly, divide each side by 10

[tex]x=\frac{27}{10}[/tex]

There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%,
92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
79%
82%
87%
92%

Answers

Answer:

79%

Step-by-step explanation:

median is the middle no.

arrange the scores in descending order

72,74,76,(78,80),82,92,92

78+80, divide 2= 79%

anybody please help me :( I’m so bad with graphing

Answers

Answer:

the correct answer is D

Factor this polynomial completely over the set of complex numbers: f(x)=x^3-x^2-4x+4 Pleaseee answer asap! Thanks!

Answers

f(x)=(x-1)(x+2)(x-2) over all it equals to zero

Answer:

(x-1) (x-2) (x+2)

Step-by-step explanation:

1. Factorice x^2 y -4 de la expresion.

x^2(x-1) -4(x-1)

2. Luego, debemos de factorizar x-1 de la expresion.

(x-1)(x^2 -4)

3. Usando a^2 - b^2= (a-b)(a+b) factorice la expresion.

(x-1) (x-2) (x+2)

solve ... 5x + 4 < 3 - 3x

Answers

X< - 1/8 let me know if Uu need work

Jessica decides to mix grades of gasoline in her truck. She puts in 8 gallons of regular and 8 gallons of premium for a total cost of $41.04. If premium gasoline costs $0.21 more per gallon than regular, what was the price of each grade of gasoline?

Answers

Answer:

The price of the regular gasoline is $2.46, while the premium is $2.67.

Step-by-step explanation:

Let the price of regular gasoline be "x", while the price for the premium be "y", The sum of the amount of each type of gas multiplied by its cost should be equal to the total paid, therefore:

[tex]8*x + 8*y = 41.04[/tex]

We also know that the premium gas costs 0.21 more than the regular one, therefore:

[tex]y = x + 0.21[/tex]

We can apply the second expression on the first, in order to solve for "x".

[tex]8*x + 8*(x + 0.21) = 41.04\\8*x + 8*x + 1.68 = 41.04\\16*x = 41.04 - 1.68\\16*x = 39.36\\x = \frac{39.36}{16} = 2.46[/tex]

[tex]y = 2.46 + 0.21 = 2.67[/tex]

The price of the regular gasoline is $2.46, while the premium is $2.67.

Solve the equation: −4(+6)=−8

Answers

Answer: m=-4

Step-by-step explanation:

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

Answer: m= -4

step-by-step explanation:

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

What is an equation example?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

What is an equation easy definition?

1: a statement of the equality of two mathematical expressions. 2: an expression representing a chemical reaction by means of chemical symbols.

Learn more about Equation at https://brainly.com/question/1214333

#SPJ2

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300\text{ mL}300 mL300, start text, space, m, L, end text of cherry juice.

Answers

Answer:

1.2Litres

Question:

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?

Step-by-step explanation:

Let the total punch bowl be = P

Portion of Orange juice = ½ of total punch bowl

= ½ × P = P/2

Portion of grape = ½ of the remaining space

Remaining space = P - P/2 = P/2

Portion of grape = ½ × P/2 = P/4

The rest of the punch bowl is for cherry = 300mL

P/2 - P/4 = 300

(2P - P)/4 = 300

P/4 = 300

P = 300×4

P = 1200mL

1mL = 10^(-3)L

P = 1.2 ×10³ × 10^(-3)L

P = 1.2L

Wes made 1.2liters of fruit punch.

can someone plz help ​

Answers

Answer:27/28

1/4+5/7

TakingLCM

7+20/28

27/28

Answer: 27/28

Step-by-step explanation:

1/4 + 5/7

= 7/28 + 20/28

= 27/28

Anyone who can do this will be goated. B is the midpoint of segment AC Find the value of x. M is the midpoint of segment VW. Find the value of X

Answers

Answer:

The answer the to first image is X=2. The answer to the second image is X=4.

Step-by-step explanation:

Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.

Answers

Answer:

The percentage change is -21%

Step-by-step explanation:

The percentage change can be expressed by the formula;

(new price -old price)/old price * 100%

New price = £150

old price = £189

Inputing these values in the formula, we have;

(150-189)/189 * 100%

-39/189 * 100%

= -20.63% and that is approximately -21%

I need help ASAP I shall give brainlyist (idk how to spell)

Answers

Answer:

12 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 6 so the radius is d/2 = 6/2 = 3

108 pi = pi (3)^2 h

108 pi = 9pi h

Divide each side by 9pi

108 pi /9pi = 9pi h/9pi

12 = h

Answer:

12cm in height

Step-by-step explanation:

The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45.

What is the price per shirt?

a.) $69
b.) $23
c.) $53
d.) $159

Answers

Answer:

23

Step-by-step explanation:

j = jeans

s = shirt

j + 3s = 114

jeans = 45

45+ 3s = 114

Subtract 45 from each side

45-45+3s = 114-45

3s =69

Divide each side by 3

3s/3 =69/3

s = 23

Each shirt is 23

Answer:

b.) 23

Step-by-step explanation:

114-45=69

69/3=23

HELP PlZ
Which of the following graphs represents the equation

y-4=3(x-1)?

Graph A.

Graph B.

Graph C.

Graph D.​

Answers

Answer:

D

Step-by-step explanation:

The point slope form of a line is y-h=m(x-k), where h is the y coordinate of the point, k is the x coordinate, and m is the slope. Therefore, a line with the equation given will have a slope of 3 and go through the point (1,4). The only graph here that matches that is graph D, meaning that it is the answer. Hope this helps!

Answer:

D is the answer

Step-by-step explanation:

Which expression is equivalent to this one??? Cuhhhhhhhhhh...,,,!!!

Answers

Answer : The equivalent expression of the given expression is 1.

Step-by-step explanation :

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

The given expression is:

(11²)⁴ ÷ 11⁸

First we have to solve bracket.

= (11)⁸ ÷ 11⁸

By dividing this expression, we get:

= 1

Therefore, the equivalent expression of the given expression is 1.

Probability: Please help me answer the question attached.

Answers

Answer:

most probably A part 1 by 12 . and i think it's also . d part 1 by 3

What is the numerical solution to the equation five less than three times a number equals four more than eight times rhetorical number?

Answers

Answer:

3n-5=8n+4

Step-by-step explanation:

(n + 18)
(2n)
What is the value of n

Answers

Answer: if this is what you wanted ,I think that n=0 and /or n= -18

Step-by-step explanation:

In an equation equal to 0 you can say that if it is a product like that : A x B =0 so A or / and B can be equal to 0 so you have to search when A=0 and when B=0 separately then you know when n is equal to 0 so the values of n . I’m sorry if it is not what you needed as an answer.

The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Elm and Oak stations. Write your answer to the nearest tenth of a mile.

Answers

Answer:

4.5 miles

Step-by-step explanation:

On the graph,

Elm station is located at (-3,-6)Oak station is located at (-1,-2)

We use the distance formula to find the distance between Elm and Oak.

[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\(x_1,y_1)=(-3,-6), (x_2,y_2)=(-1,-2)\\Distance=\sqrt{(-1-(-3))^2+((-2)-(-6))^2} \\=\sqrt{(-1+3)^2+(-2+6)^2} \\=\sqrt{2^2+4^2}\\=\sqrt{20}$ Units \\ Distance =4.5 mile (to the nearest tenth of a mile.)[/tex]

A professor must randomly select 4 students to participate in a mock debate.
There are 20 students in his class. In how many different ways can these
students be selected, if the order of selection does not matter?

Answers

Answer:

Step-by-step explanation:

We can use combinations

20 choose 4:

20!/(16!*4!)

= (20*19*18*17)/4!

= 4845

What is the approximate value of tan C?
B
13.93
5
13

Answers

Answer:

B you need to plug it in the calculator

The approximate value of tan C is 0.38 (Option D).

To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:

Hypotenuse (c) = 13.93

Base (b) = 13

Height (a) = 5

The tangent of angle C is defined as the ratio of the height (a) to the base (b):

tan C = a / b

tan C = 5 / 13

Now, let's calculate the approximate value of tan C:

tan C ≈ 0.3846

Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.

Therefore, the approximate value of tan C is 0.38.

To know more about tan, refer here:

https://brainly.com/question/12754887

#SPJ2

Complete Question:

What is the approximate value of tan C?

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