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

10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer

Answers

Answer:

$175.45

Step-by-step explanation:

8.25 / 0.75 = 11

15.95 x 11 = 175.45

Which of the following is the rational exponent expression of 4 square root of f?
OF
Of4
O4f
4

Answers

the answer is A f1/4

Who has the shorter insect?

Answers

Connie does because

The population proportion for a certain characteristic is 0.28. In a sample of
100 people, 25 had that characteristic.
Which equation correctly describes the point estimate?
A. P = 0.28
B. p = 0.28
O c. p = 0.25
D. p = 0.25

Answers

Answer:

B. p= 0.25

Step-by-step explanation:

Pls give brainliest if helps

The land area of Connecticut is about 12,549,000,000 square meters. The land area

of Rhode Island is about 2,707,000,000 square meters. How many times greater is the land area of Connecticut than the land area of Rhode Island?

Answers

Answer:

  4.636

Step-by-step explanation:

The ratio is the same when it is written in terms of billions of square meters:

  CT/RI = 12.549/2.707 ≈ 4.636

The area of CT is about 4.636 times as large as the area of RI.

If it is sunny, then we will go fishing.
Choose the equivalent statement.
A. If we go fishing, then it is not sunny.
B. If we do not go fishing, then it is not sunny.
C. If we do not go fishing, then it is sunny.

Answers

B. If we do not go fishing, then it is not sunny

534 divided by 43. Please help..

Answers

Answer:

Step-by-step explanation:

The numbers in the fraction cannot be reduced to create a simplified fraction. Therefore there are 3 ways to write this answer ...

1) [tex]\frac{534}{43}[/tex]

2) 12[tex]\frac{18}{43}[/tex]

3) 12.41861

Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.

The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.

a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.

b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.

Answers

Answer:

Step-by-step explanation:

a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit

b. 50n > 135 + 4.50n

Use the diagonals to determine whether a parallelogram with vertices A(2, 7), B(7, 9), C(5, 4), and D(0, 2) is a rectangle, rhombus, or square. Give all the names that apply.

Answers

Step-by-step explanation:

A and B have among each other the same distance relation as D and C : +5 in x, and +2 in y direction

and D and A have among each other the same distance relation as C and B : +2 in x, and +5 in y direction.

that means the slope of the first pair of sides is 2/5, and the slope of the second pair of sides is 5/2.

and that means that these 2 pairs of lines are not perpendicular (for this not only would we need to have the ratio upside down but also the sign would need to be flipped). there are no 90° angles.

so, there is no rectangle or square.

but because the sums of x and y coordinate differences are the same, we have the same distances between neighboring points.

and that makes it a rhombus.

In a school day each student has to participate either in music or sport . Out of 350 students of the school 250 participated in sports and 145 in music then,
a. How many students have participated in both activities?
b. How many of them have participated in one activity only?
c. Represent the above information in a Venn Diagram.​

Answers

Answer:

a. 45

b. 305

(left side) just sports, (middle) amount that did both, (right side) kids that just did music

Step-by-step explanation:

a. 250 + 145 = 395 395-350 = 45

b. 350-45= 305

ope this helps :)

The graph of y = f(x) is the solid black graph below. Which function represents the
dotted graph?
Submit Answer
O y = f(x + 3) - 5
O y = f(x - 3) - 5
O y = f(x - 3) + 5
O y = f(x + 3) + 5

Answers

Answer:First option, y=f(x+3)+5

Step-by-step explanation:

analyse the transformation first

From the dotted function, when compared to the solid black line, is moved 3 units to the left, and moved upwards by 5 units

Input transformation

In graphing, when a value is shifted horizontally, its transformation is equal to: -(x2-x1), and in this instance, we end up with a value of +3so, f(x+3) is the first componentWhen a function is shifted horizontally, it is proportiante to the distance it moves, so (y2-y1)in this instance, it is 0 - -5=5so the transformation vertically is +5

Final answer, when all values are added is y=f(x+3)+5

The total number of gallons of water in a tank, w, after t minutes is given in the table and the graph below. What is an equation showing the relationship between w and t? A. w = 2t B. w = 2 + t C. w = 4t D. w = 4 + t

Answers

Answer:

C. w = 4t

Step-by-step explanation:

Let's examine the way t and w are related to each other, one point at a time starting with (0, 0). This point really doesn't tell us much, but we do know that this relationship must be proportional since any line that goes through the origin (the point (0, 0)) is proportional. we can rule out B. 2 + t and D. 4 + t since neither of these go through the origin. 2 + t goes through the point (0, 2) and 4 + t goes through the point (0, 4).

Now, we have two options left: A. w = 2t and C. w = 4t. Which one is correct? Well, let's look at the point (1, 4). 1 × 2 is not equal to 4, but 1 × 4 is equal to 4, so C. w = 4t must be the correct option.

We can test this on the rest of the points as well: 2 × 4 = 8 and 3 × 4 = 12. Hopefully that's helpful! If you have questions or need clarification on anything, let me know. :)

I need a fast answer because I’m about to get on a plane

Answers

Answer:

C

Step-by-step explanation:

-6 is less than 7

Determine whether the following pairs of lines are parallel, perpendicular, or neither. y=1/3x+4 3x+y=2​

Answers

Answer:

parallel

Step-by-step explanation:

Answer:

The lines are perpendicular

Step-by-step explanation:

Y=1/3x+4

Y=-3x+2

The negative reciprocal of -3 is 1/3

What is the value of z?

Answers

X* = 180*- 125* = 55*
Hence X* = 55*, then Z* = 55*

Check whether (19/9, 15/3) is
a solution of the equation 3a + b = 8 or
not where (a,b) is co-ordinate point.​

Answers

Answer:

No, it is not a solution to the equation.

Step-by-step explanation:

If [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is a solution of the equation, the left-hand side (LHS) of the equation would equal to the right-hand side (RHS) of the equation.

3a +b= 8

When a= [tex] \frac{19}{9} [/tex], b= [tex] \frac{15}{3} [/tex],

LHS

= [tex]3( \frac{19}{9} ) + \frac{15}{3} [/tex]

[tex] = \frac{19}{3} + \frac{15}{3} [/tex]

[tex] = \frac{34}{3} [/tex]

[tex] \frac{34}{3} ≠8[/tex]

Since the left-hand side is not equal to the right-hand side of the equation, [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is not a solution of the equation.

Given equation is 3a+b = 8

Given point = (19/9,15/3)

Put a = 19/9 and b = 15/3 in LHS of the given equation then

⇛ 3(19/9)+(15/3)

⇛(19/3)+(15/3)

⇛ (19+15)/3

⇛ 34/3 ≠ 0

LHS ≠ RHS

Given point not satisfies the given equation

Therefore, it is not the solution of the given point.

also read similar questions: The equation of a straight line is 2y = 3x + 4. a. Find the graduent of this line. b. Find the co-ordinates of the point where the line crosses the y-axis. Plea...

https://brainly.com/question/14809418?referrer

What is the value of a in the equation 3a + b = 54, when b = 9? 15 18 21 27..

https://brainly.com/question/164361?referrer

A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Moussa measures the distance from the pole to the stake and from the pole to the tower. Find the length of the guy wire, to the nearest foot.

Answers

Answer: The answer is 189 ft.

Using a calculator or otherwise, calculate the exact value of 498.79×14.38. Round your answer to one (1) decimal place.

Answers

Answer:

7172.6

Step-by-step explanation:

Brainiest if good answer!
No links!!! I won’t view them

Given the system of linear equations:
{x+6y=6
y=1/3 x−2

Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B

Answers

Answer:

QUESTION 1

The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.

To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up

Then, we use this value to find the other one

Therefore, the solution is (-1,-5), which is the same showed graphically.

QUESTION 2.

Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).

To verify the solution algebraically, we must multiply the second equation by -6

Then, we use this value to find the other one

Therefore, the solution is (6,0), the same showed graphically.

Step-by-step explanation:

If you don't get it

question 1

solution is (-1,-5)

question 2

solution is (6,0),

The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The system of linear equations:

x+6y=6

y=1/3 x−2

Part A: Graph is shown in the picture.

Part B: The intersection point is (6, 0)

x = 6

y =0

Part C: By substitution method.

[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]

x  = 6

y = 0

Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

find the domain of y=1/2 square root of x+2-3

Answers

35 ——————————————————

10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.

Answers

The given ratio becomes 6x : 3x : x.

6x = black paint

3x = green paint

x = blue paint

6x + 3x + x = 500

10x = 500

x = 500/10

x = 50

6x = 6(50) = 300

3x = 3(50) = 150

x = 50

Answer:

300 ml of the black paint.

150 ml of the green paint.

50 ml of the blue paint.

The Appalachian Trail is about 2,175 miles long.

a. If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?

b. Katia’s friend Joelle joins her for the last quarter portion of the hike. How many full days will Joelle hike?

PLZ HELP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS THIS QUESTION!

Answers

Answer:

121 days; 30 full days

Step-by-step explanation:

to find how much days she takes you divide 2175 by 18

2175 / 18 is 120.833333

it will take her at least 121 days because you need to round up

the last portion of the hike would be a quarter of the hike

you would divide the final time by 4 and that is your answer

121 / 4 is 30.25

you have to round down because .25 is not a full day

she hiked 30 full days

2. The area of a rectangle is 721 quare yards, M the length of the rectarije v fards, Wuch enpresion represent
the width of the rectangle in yards?

Answers

Answer:

721/M

Step-by-step explanation:

Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)

Please help with this question!!!!

Answers

Answer:

what is your question ?

Step-by-step explanation:

Plz answer bhhk f hi j

Answers

Answer:

its just rhombus and trapezoid i think.

Step-by-step explanation:

How i can answer this question

Answers

Answer:

Your correct Awnsers are A and D

It’s for sure A for one but not sure on the second!

Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18. How much money did Josh have left after he purchased his lunch? *

Answers

Answer:

3.27

Step-by-step explanation:

the money he spent in total is 9.53 subtract it to 12.80

The amount of money left after he purchased his lunch is $3.27.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18.

The amount of money left will be calculated as,

Money left = 12.80 - [(2 x 2.75 ) + 1.85 + 2.18]

Money left = 12.80 - 9.53

Money left =  $3.27

Therefore, the amount of money left after he purchased his lunch is $3.27.

To know more about an expression follow

https://brainly.com/question/20460320

#SPJ5

On a scale drawing, a statue is 8.3 inches tall. The scale factor is 212. Find the actual height of the statue.

Answers

Answer:

1759.6

Step-by-step explanation:

8.3 multiplied by 212 i think

Evaluate the following expression 6⋅2+6^4 khan academy

Answers

Answer:

6.2+6^4

6.2+1.296

7.496

36 ÷ ____ = 9 15 points

Answers

Answer:

36 ÷ __4__ = 9

Step-by-step explanation:

36/9 = 4, so

36 ÷ __4__ = 9

Other Questions
A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 21 minute? In 1 hour? A farmer's total payment for tools and compost over the course of two years is $27,894. Write and solve an equation to find the payment for the second year if the first years payment is $10,205. What would the world be like without books? It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 20 min, the bucket is 1/8 of the way full. What is the rate at which the water is leaking per hour? and what is the longest time he can be away from the house before the bucket will overflow? Q10. Five t-shirts and a hat cost 83.00. Two t-shirts and a hat cost 38.00. How much does one t-shirt cost?No spam links and plz write down the answer. what holiday movie sequel includes a cameo by donald trump? .............................. A user calls the help desk to report that a mobile device exhibits very slow performance. What could cause this problem the weight of a chimpanzee ,y in pounds x months after birth is modeled by the equation y=1.5x+8. Which represents the equation when solved for x? To what extent are human inherently evil? *include evidence from lord of the flies book* Thank you!! A solid object where the radius of bse is 7cm and height is 12cm The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Use analytic methods to do each of the following: (a) Determine when the particle is moving to the right, to the left, and stopped. (b) Find the particle's displacement for the given time interval. If s(0) = 3, what is the particle's final position? (c) Find the total distance traveled by the particle. v(t) = 5 (sint)^2(cost); 0 t 2 What is virtopsy? What are some of its advantages? 21. Which of the following is the best way to clean up an acid spill?A. Wash down the acid spill with plenty of water.B. Wipe up the acid spill with paper towel.C. Spread sawdust on the acid spill to absorb it.D. Neutralize the acid spill with a base; then wash it with plenty of water.T1 Someone help me please If ABCD is a parallelogram, m what is the energy (in j) of a photon required to excite an electron from n = 2 to n = 8 in a he ion? submit an answer to three signficant figures. Read this excerpt from a passage. Robots have been around longer than many people realize. Archytas, who lived in Greece over 2,300 years ago, is believed to have created the first robot. Archytas built a steam-powered mechanical bird that was able to flap its wings and fly over 200 yards. However, it was not until the late 1700s, with the beginning of the Industrial Revolution, that the world saw the large-scale use of more complex machines. Mechanization took another leap during the 1930s, when machines were introduced into many workplaces in order to increase productivity. Instead of hiring workers to perform tasks on an assembly line, factory owners used automated machines that could do the work of several people. Then, in 1954, George Devol created the Unimate, a robotic arm. The Unimate began working on the assembly line at General Motors in 1961, taking on unpleasant, dangerous, and repetitive tasks. This robotic worker had many advantages over human workers. The Unimate did not require a salary, followed company rules, and never called in sick (although it did require the occasional repair). In addition, the Unimate could work twenty-four hours a day, seven days a week. Manufacturers that used the Unimate and other industrial robots saw a marked increase in productivity and a decrease in labor costs.What features show this is an example of historical writing? a. It uses primary research that is based on the scientific method. b. It explains, outlines, and analyzes current trends. c. It focuses on the causes and consequences of certain events. d. It relies on anecdotes, examples, and testimonies as evidence. Select the correct answer.If a = 0.3 and b =0.5, what is the value of a+b?A.8/10B.8/9 C.80/99D.88/100 d20) A department store buys 200 shirts atof $2,400 and sells them at a selling price of $20each. Find the percent markup.Pls answer now I need it pls