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

there is 60 girls and 90 boys in the 7th grade at sycamore middle school of theses students 14 boys and 10 girls write left handed what percentage of the 7th graders at sycamore middle school write left handed

Answers

Answer:

16%

Step-by-step explanation:

60+90=150 total students

14+10=24 left handed students

24/150= 0.16 or 16% of the population being left handed

Write an equation that represent the line

Answers

the formula that is needed is y=mx+b, so the answer is y=5/6x+2.5

Hi Brainly community, it's me again!!

Answers

Answer:

I don't know

Step-by-step explanation:

Because I don't have a protractor and a scaled representation of the image you sent.

Answer:

D.) AFD and EFD

Step-by-step explanation:

supplementary angles equal 180° and this is the only set that produces 180 when added together. the supplementary angle is basically the whole straight line

Emma pays 10$ to join a gym. For the first 5 months she pays a monthly 15$ membership fee. For problems 6-7 use the explicit rule f(n)=15n+10

6. Complete the table, then use the table to create ordered pairs.

7. Graph the sequence using the ordered pairs.

Answers

Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10

Step-by-step explanation:

The table of the ordered pairs and the graph is plotted.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.

We have the function as -

f(n) = 15n+10.

We can create a table as follows -

[n]         f[n]

1            25

2           40

3           55

4           70

5           85

Refer to the graph of the function f(n) = 15n+10 attached.

Therefore, the table of the ordered pairs and the graph is plotted.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?

Answers

.25
you can come to this conclusion by calculating 13/52

Help please due today!

Answers

Answer:

36.87 degrees

Step-by-step explanation:

Use the law of sines

sin(90)/70 = sin(x)/42

Multiply each side by 42

42 * sin(90)/70 = sin(x)

use a calculator to get 0.6

Use inverse sin to find angle sin^-1 = 0.6

The angle is approximately 36.87 degrees

where is it located on the number line

Answers

move it 0.25 units right

Emma is making a recipe that needs 2 1/2 cups of sugar. Each
scoop contains 1/4 cup of sugar. How many scoops of sugar
does she need to add for the entire recipe?

Answers

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

The number of scoops of sugar needed is 10 scoops.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

[tex]\displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}[/tex]

Which gives;

[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}}[/tex]

[tex]\displaystyle 2 \frac{1}{2} = \frac{5}{2}[/tex]

[tex]\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } = \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10[/tex]

Therefore;

[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}} = 10 \, scoops[/tex]

The number of scoops she needs for the entire recipe is 10 scoops

Learn more about division by fractions here:

https://brainly.com/question/20591763

What is the distance from point D to point C?
A.1 unit

B.2 units

C.3 units

D.4 units​

Answers

Answer:

the distance from point D to point C.

B.2 units

Answer:

B:-2

Step-by-step explanation:

just count the box and you will get your answer

Solve for HL hypotenuse leg theorem
-GEOMETRY

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Additional information needed to prove the Triangles congruent by HL criteria is ~ D

[tex] \sf ST \cong SE \: \: or \: \: US \cong FS[/tex]

Answer:   Choice D

ST = SE or US = FS

===========================================

Explanation:

As you mentioned, HL stands for hypotenuse leg. The sides EF and UT marked with triple tickmarks are congruent, and they are the congruent hypotenuses. That takes care of the "H" part of "HL". So we can cross off choice C because it mentions TU = EF, which is already taken care of.

The "L" part can involve either leg of the triangles. So we could involve the legs ST and SE (they appear to be the shorter legs), or we could involve the longer legs US and FS. We only need to pick one of those options to handle the "L" portion. If we knew all three aspects, then we could easily refer to the SSS (side side side) congruence theorem.

The HL theorem only applies to right triangles.

cos(x+2)=sin(3x). Need done for a test please help.

Answers

Can you specify the question please I can answer it but I need more specification 87

Will mark brainly!! :)

Answers

Answer:

(2,1)

Step-by-step explanation:

The answer is (2,1)

Alright I need help.. I will mark brainliest .
;-;

Answers

Answer:

  x - y = 9

Step-by-step explanation:

When x goes up by 1, y goes up by 1. That means there is a constant difference between the values. That difference is x1 -y1 = 1 -(-8) = 9.

An equation relating the values is ...

  x - y = 9

_____

Some folks like to see the relation in "y =" form. You can add y-9 to both sides to get that form:

  y = x -9

a movie rental service charges a $15 fee plus $1.50 per rental. suppose you have $40 to spend. how many movies can you rent

Answers

Answer:

16

Step-by-step explanation:

y = mx+b, where y is cost x is # of movies, m is $ per rental and b is the flat charge.

y = 1.50x+15

40 = 1.50x+15

25 = 1.50x

16.666... = x

You can rent about 16 movies

Hope that helps

Answer:

40 = 1.50x+15

25=1.50x

x=16

16 movies

Step-by-step explanation:

please help with hegarty algebraic fractions and quadratic equations

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf \dfrac{3}{x} - \dfrac{3}{x + 4} = 1[/tex]

[tex] \sf \dfrac{3(x + 4) -3x }{x(x + 4)} = 1[/tex]

[tex] \sf \dfrac{3x + 12-3x }{x(x + 4)} = 1[/tex]

[tex] \sf 12 = {x(x + 4)} [/tex]

[tex] \sf {x}^{2} + 4x = 12[/tex]

[tex] \sf{ {x}^{2} + 4x - 12 = 0 }[/tex]

[tex] \sf{ {x}^{2} + 6x - 2x - 12 = 0}[/tex]

[tex] \sf{x(x + 6) - 2(x + 6) = 0}[/tex]

[tex] \sf(x - 2)(x + 6) = 0[/tex]

Hence,

[tex] \sf x = 2 \: \: or \: \: x = - 6[/tex]

Write an equation in point-slope form of the line that passes through the point (−3,6) and has a slope of 5.

Answers

Answer:

Below in bold.

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1)

where m = the slope of the line and (x1, y1) is a point on the line.

Here m = 5, x1 = -3 and y1 = 6.

So we have:

y - 6 = 5( x - (-3))

y - 6 = 5(x + 3)   (Answer)

Given the equations x^2 + 8x + 12 = 0 and 3x + 6 = 0, what is the common
solution?

Answers

[tex] {x}^{2} + 8x + 12 = 0 \\ = > {x}^{2} + 6x + 2x + 12 = 0 \\ = > x(x + 6) + 2(x + 6) = 0 \\ = > (x + 2)(x + 6) = 0 \\ = > x = - 2 \: \: or \: \: - 6[/tex]

[tex]3x + 6 = 0 \\ = > 3x = - 6 \\ = > x = \frac{ - 6}{3} \\ = > x = - 2[/tex]

Here, the common solution is -2.

Answer:

x = -2.

Hope you could get an idea from here.

Doubt clarification - use comment section.

3x+12-6x less than or equal to -9

Answers

Answer:

less than, it is the answer

i cant fail this class

Answers

Answer:

what are you asking?

Step-by-step explanation:

Why does demand for a product or service play a significant role in starting a new business?

Answers

Answer:

Basic economics like demand should important to you whether you run a seasonal business, buy a vacation property for passive income, or run a more traditional firm.

4
en 2 = 21,426
6%-
*8 = 21 - 22 - 24
8
-8=24
16
44-8-8=24 -
2x
47.
4y

Answers

Answer:

Step-by-step explanation:

BOX #1 -- 2x

BOX #2 -- 4x

BOX #3 -- 8

BOX #4 -- 16

BOX #5 -- 4

empat angka setelah angka tiga

Answers

Answer:

hindi ko po gets

yan sorry

Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply. F(x) = |x| f(x) = |x â€" 2| f(x) = |x| 3 f(x) = 2. 9|x| f(x) = 1. 2|x 8| f(x) = 0. 7|x| â€" 3. 2.

Answers

The absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x|  and f(x) = 1.2|x + 8|

For an absolute value function to be narrower than its parent function, the following highlights must be true:

The function must be dilatedThe scale of dilation must be greater than 1

From the given options, the dilated functions are: f(x) = 2.9|x|, f(x) = 1.2|x + 8| and f(x) = 0.7|x| – 3.2

However, the dilated functions that have a scale of dilation greater than 1 are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|

Hence, the absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x|  and f(x) = 1.2|x + 8|

Read more about absolute value functions at:

https://brainly.com/question/7515527

In a bag of candies, the total number of yellow candies and blue candies is 75. The number of yellow candies is
15 more than twice the number of blue candies. How many yellow candies are in the bag?
Help!!

Answers

Answer:

Step-by-step explanation: 2x+15 = 75

                                             2x=60

                                              x=30 blue candies

                                              30 + 15 = 45 yellow candies in the bag

How many Match sticks will be In Image 6?​

Answers

19

In the first image, we are given 4 match sticks.

In the second image, we are given 7 match sticks. The difference between the match sticks is 3.

In the third image, we are given 10 match sticks. The difference between the match sticks again is 3.

If in the third image we are given 10 match sticks, and for every new image, there is another 3 match stick added, then in the sixth image, there must be 19 match sticks. Image 4: 10 + 3 = 13. Image 5: 13 + 3 = 16. Image 6: 16 + 3 = 19.

Answer = 19. Hope this helps. :)

Answer:

19

Step-by-step explanation:

For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of a basic cable subscription for t months? What is the total cost for two years of service?

Answers

Answer:

t=23

Step-by-step explanation:

A car slows down at -5.00 m/s2 until it comes to a stop after traveling 15.0 m. How much time did it take to stop.

Answers

Answer:

2.45 seconds to the nearest hundredth.

Step-by-step explanation:

Acceleration a = -5, distance s = 15, time  = ?.

Final  velocity = v =  0.

We need to use the equations of motion under constant acceleration.

v^2 = u^2 + 2as       where u is the initial velocity

0 = u^2 + 2*-5*15

u^2 = 150

so u = √150

Now we use v = u + at:

0 = √150 - 5t

t = √150/5

t = 2.45 seconds.

Glven the function f(x) = (x-2)2 + 13, what is the equation of the new
function if it is translated to the left 5 units and moved down 7 units.

Answers

Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?

what is the scale factor of 3x + 2, 3y -1?

(will give brainliest)

Answers

21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.

Solve for x help me please *****

Answers

Answer:

it's so blury pls fix the picture so I can solve it NOW

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