When a stone is dropped from a height, the time taken to fall, t, is proportional to the square root of the distance fallen, d.

Write down a formula, using k, connecting the time taken to fall and the distance traveled.

Answers

Answer 1

Step-by-step explanation:

We know that in kinematics we can write the formula for uniformly accelerated bodies:

s = 1/2 a t^2 + v0 t + s0

In our case s0 (initial deployment)  = 0m and v0 (initial velocity) = 0

So:

s = 1/2 a t^2

Now we isolate t:

t = [tex]\sqrt[2]{\frac{2s}{a} }[/tex]

All proportionalities are obvious.

Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.


Related Questions

(1)Pradnya had 5 dozen copies. She gave half of the copies to Anushka and 1/5 times of the copies to Prajwal. How many copies are remaining with her ?
(2) Shrikant bought a watch at Rs. 900. He gave equal number of notes of denomination Rs. 10, Rs. 20, Rs. 50 and Rs. 100. Find the number of notes of Rs. 20 that he gave to the shopkeeper.
(3) Mangalakaku purchased 6016 saplings of lemon. She planted 47 saplings in each row. How many rows will be formed of those saplings?​

Answers

Explanation:

(i)Total number of copies are at Pradnya = 5 dozen

We know that 1 dozen = 12

⇛5×12 = 60

Given copies to Anushka = half of 60

⇛60/2 = 30 copies

Given copies to Prajwala = 1/5 the copies

⇛ (1/5)×60

⇛60/5

⇛12 copies

Total number of given copies = 30+12 = 42

Remaining copies = 60-42 = 18

Answer: Remaining copies = 18

(ii)Let the number of Rs. 10 notes be X

So given that

all are equal in number

So, Number of Rs 20 notes = Number of Rs. 50 notes = Number of Rs. 100 = X

Total number of notes

= X+X+X+X = 4X

Value of Rs. 10 = 10X

Value of Rs. 20 = 20X

Value of Rs. 50 = 50X

Value of Rs. 100 = 100X

Total amount = Rs. 900

⇛10X +20X +50X+100X = 900

⇛180X = 900

⇛X = 900/180

⇛X = 5

Number of Rs. 10 notes = Number of Rs. 20 notes = Answer: number of Rs. 50 notes = Number of Rs. 100 = 5

(iii) Let the number of rows be X

Number of saplings per each row = 47

Total number of saplings of X rows = 47X

According to the given problem,

Total number of saplings purchased by Mangalakaku = 6016

⇛47X = 6016

⇛X = 6016/47

⇛X = 128

Answer: Total number of rows = 128

help me divide me 1/4 divided my three

Answers

Answer:

1/12

Step-by-step explanation:

1/4 divide by three= 1/4*1/3=1/12

Answer: 1/4 ÷ 3 = 1/12

Explanation: In order to divide fractions, you must follow these 3 simple steps:

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal.

Step 3. Simplify the fraction (if needed).

please help me, please and thank youuu! :D

Answers

Answer:

f = - [tex]\frac{19}{7}[/tex]

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition f = - 19 when m = 14

- 19 = 14k ( divide both sides by 14 )

- [tex]\frac{19}{14}[/tex] = k

f = - [tex]\frac{19}{14}[/tex] m ← equation of variation

When m = 2 , then

f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]

Divide. Then check using multiplication. The first one is done for you. Lesson 22 5.2 485 divided by 15.

Answers

Answer:

Its answer is 32.33

Step-by-step explanation:

Twice the difference of a number and 2 is at least 16 use the variable y for the unknown number

Answers

Answer:

2(y-2) is greater then or equal to 16

Step-by-step explanation:

The 250 gallons of maple sap will be
boiled until only 3% of its original
volume is left. How many gallons are
left?

Answers

Answer:

7.5 gallons

Step-by-step explanation:

3 x 250/100

= 7.5

Giving brainliesttttttt

Answers

Answer:

I think it is the line D as a thought

please help me with this question.

Answers

Answer:

Exact Form: 309/25

Mixed Form: 12 and 9/25

Step-by-step explanation:

What is the answer to -6n^2 - 5n - 7 = -8

Answers

Answer:

n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6n² - 5n - 7 = - 8 ( add 8 to both sides )

6n² - 5n + 1 = 0 ← in standard form

Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × 1 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the n- term

6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )

3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term

(2n - 1)(3n - 1) = 0 ← in factored form

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]

2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]

whats 1 + 1

ahsdugiywayhdyhawdwahdwahidwadad

Answers

2 or 11 or window or whatever

Answer:

11

Step-by-step explanation:

It's clearly 11

1 + 1 = 11

just put the 2 numbers together

solve similar triangles (advanced)

Answers

Answer:

12 =x

Step-by-step explanation:

We  can use proportions to solve

6           x

---- = -------

10        10+10

Using cross products

6 ( 10+10) = x*10

6*20 = 10x

120 = 10x

Divide by 10

120/10 = x

12 =x

Answer:

x = 12

Step-by-step explanation:

ABC ~ ADE

AB/AD = BC/DE

 10/20 = 6/x

x = 20 x 6 ÷ 10

x = 12

HELP ME PLZ DONT USE DEMOS GRAPHING



graph y=-1/4x+6​

Answers

Answer:

.

Step-by-step explanation:

y=-2x-3
y=2x-1

y=x+ 4
y=-x+ 2

y=-2x-3
y= x+ 4

y=2x-1
y=-x+ 2

match with WXYZ

Answers

Step-by-step explanation:

I don't understand. what are W, C, Y, Z ?

all I can do is solving the 4 systems of equations for x and y.

y = -2x - 3

y = 2x - 1

adding the equations

2y = 0 - 4 = -4

y = -2

-2 = 2x - 1

-1 = 2x

x = -1/2

y = x + 4

y = -x + 2

adding the equations

2y = 0 + 6 = 6

y = 3

3 = x + 4

x = -1

y = -2x + 3

y = x + 4

multiply second equation by 2, add the result to first

2y = 2x + 8

3y = 0 + 11 = 11

y = 11/3

11/3 = x + 4 = x + 12/3

x = -1/3

y = 2x - 1

y = -x + 2

multiply second equation by 2, add the result to first

2y = -2x + 4

3y = 0 + 3 = 3

y = 1

1 = -x + 2

-1 = -x

x = 1

What is the equation of a line that is perpendicular to the line y = - 1/2 x + 1 and passes through the point (8, - 1)? A y = −1/2 x + 8 B y = 2x - 17 C y = −1/2 x − 2 D y = 2x - 1

Answers

Answer is B y = 2x - 17

First find the negative reciprocal of the gradient for y = -1/2 x + 1 to find the perpendicular line gradient.

-1/2 = 2

Gradient of perpendicular line = 2

Perpendicular line is y=2x + c

Substitute (8,-1) into the line to find the y-intercept (c).

-1 = 2(8) + c
-1 = 16 + c
c = -17

Therefore, the perpendicular line is y = 2x - 17.

3. Calculer le volume d'un cylindre de rayon 4 cm et de hauteur 15 cm ( valeur exacte puis arrondie au centième

Answers

Answer:

4*15*pi

188.495559215

188.50

Answer:

188.50

Step-by-step explanation:

Gas grills are on sale 20% off. The sale price of the grill that I like is $399.20. What was the original price of the grill?

Answers

Answer:

499

Ste-by-step explanation

80 percent of the original price is left.

If you divide by 4 you get 99.8 which is 20% of the original price. Then if you multiply 99.8 by 5 you will get 100% of the original price which is 499

You can also do 399.2 * 1.25 = 499

Which graph represents the solution of the inequality |3x+12| ≥ 3?

Answers

Answer:  A

Step-by-step explanation:

The solution to the inequality is x <= -5 and x>=-3 so A is correct

After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The total
increase was 10.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 10.5 °F.

Answers

x=hours

7.5=2.5x

3=x

x=3

3 hours until the power was restored

Help me solve these

Answers

Answer:

hello  you need to tell me the equation not the worksheet

Step-by-step explanation:

put b for everything‍️

I need to know if they are simular or not, i also need an explanation

Answers

Answer:

Step-by-step explanation:

11

Choose the angle which is represented by the name.

RUN and NUG

Answers

Answer:

Option C

Step-by-step explanation:

Both RUN and NUG have U in the middle of them, so the bottom one would be correct as U is in the center.

Which relation is a function?

Answers

Answer:

only the v-shaped graph is a function

Step-by-step explanation:

the circle, the vertical line, and the sideways parabola would not pass the 'vertical line test' which is where, if a vertical line is drawn through the graph then the line would not intersect the graph in more than one point

Find the value of x.

Answers

Answer:

x = 19

Step-by-step explanation:

(5x+4)+(x-2)+(3x+7) = 180

5x+4+x-2+3x+7 = 180

9x+9 = 180

9x = 171

x = 171/9

x = 19

X=19 hope this helps

DOM
The weight of a car is modeled with the polynomial 3x2 – 25x + 204. The weight of a truck is modeled with the polynomial x² + 17x + 40
What polynomial represents the total weight of the car and truck?

Answers

Answer:

4x^2-8x+244

Step-by-step explanation:

help pls !! i am confused

1. 2. 3. 4.

Answers

<NOR and <ORS<QRO and < ROP

Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.​

Answers

Given that

Money of a man = Rs. X

Money given to his wife = half of the money

= Rs. X/2

Money given to his son = 1/4th of the money

⇛Rs. X/4

Money given to his daughter = Rs. 1200

Total money

⇛ (X/2)+(X/4)+1200 = X

⇛ (2X+X+4800/4 = X

⇛ (3X+4800)/4 = X

⇛ (3X+4800) = 4X

⇛4X=3X+4800

⇛4X-3X = 4800

⇛X = 4800

⇛X-4800 = 0 is the required equation

⇛X = 4800

The money of the man = Rs. 4800 Ans.

also read similar questions: what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?

https://brainly.com/question/23613815?referrer

What is the length of EF in the right triangle below?

Answers

I think it would be A.

Answer:

A.24

Step-by-step explanation:

EF=√(25)²-(7)²

EF=√625-49

EF=√576=24

WHICH PROPERTY IS BEING USED IN THE FOLLOWING?

15 × 1 = 15​

Answers

Answer:

This is the Idenity Property

Step-by-step explanation:

The Identity Property for multiplication states that anything times 1 is the same number.

3x1=3, and 8192x1=8192 (Do you play 2048?)

The zero property: Anything multiplied by zero is zero.

1000000000000000000000000000000x0=0, 4096 x 0 = 0, and so on.

The associative property: Any where numbers are grouped in parenthesis or brackets, you still get the same answer.

(6 x 7) x 78 is the same as 6 x (7 x 78)

The commutative property: When you switch the order of numbers, you get the same answer.

256 x 32 is the same as 32 x 256

What is the area of 2.4

Answers

4.8 because that’s the area of 2.4

Pls help pls help it’s my last question

Answers

Answer:

5

Step-by-step explanation:

Answer:

3 3/4

Step-by-step explanation:

Other Questions
in digging a well, crew records the location of the bottom of the hole relative to groundlevel. After 4 hours the hole is 164.4 feet deep. What integer represents the change inlocation in feet after 1 hour? what are the advantages of obeying social rules ? Qu es una restriccin FACTIBLE?El tema es sobre Programacin Lineal.Por favor no se roben los puntos, necesito una respuesta.NO WIKIPEDIA. Analyze this timeline illustrating one period of the modern era:184819221949197519911848: Karl Marx and FriedrichEngels publish The CommunistManifesto.1922: The communistSoviet Union is foundedby Russian revolutionaries.1949: Chinese communists establishthe People's Republic of China.1975: The Vietnam War ends witha complete communist victory1991: Communism ends in Russiawith the collapse of the Soviet UnionWhich historical theme does the timeline most reflect?A. Interactions between humans and the environmentBThe transformation of social structuresC The expansion and inter-action of political systemD culture of development and exchange Please help me answer the following question!What is the momentum of a 750-kg Volkswagen Beetle when at rest?Please give the Value and Unit Write the correct form of the verb "prendre":Est-ce que tuun desserts. A red die is tossed and then agreen dieis tossed. What is the probability thatthe red die shows an even number andthe green die shows an even number?Make sure your answer is reduced. Math isn't really my thing, so if you could help I would really, really appreciate!! Find cos 2; the angle is in the fourth quadrant, and sin = -0.45. Which double-angle identity should you use?cos2 = 1 2sin^2sin()cos() - cos()sin()sin()cos()2sin()cos() Which equation choice could represent the graph shown below? What Island country was China threatening to take over? (and still is) how do you solve x^0.5=8 Liquid X of volume 0.5m3 and density 900kgm-3 was mixed with liquid Y of volume 0.4m3 and density 800kgm-3. What was the density of the mixture? 2. In which state of matter do particles vibrate in place? *1 pointA. gasB. solidC. liquid Help help help math math 6.23 X 10^6 KL + 5.34 10^6 kL Andrew is half his brother's age. Three years ago, the sum of their ages was 24. How old are they each now? Please answer Fast. Ancient Indus sculptures were _____________________ a. Extremely large and usually made out of clay or sandstone. B. Created to show people how Buddha came to become deity. C. Contained inscriptions along the top edge that we cannot understand today. D. Always carved into the sides of mountains and in the walls of caves in the valley. Please select the best answer from the choices provided A B C D. 1 gallon is equal to 4 quarts or 8 pints. How many pints are in 3 gallons? Which pair of words included the basic elements of argumentation.