The speed of a body falling freely from rest in a vacuum varies directly with the length of the time it falls. If after 6 seconds, a body was falling 58.8 m/s, how fast was it falling 4 seconds later? (Round off your answer to the nearest meter per second.)

Answers

Answer 1

Answer:

The body is falling at 98 m/s after 4 seconds later.

Step-by-step explanation:

The magnitude of the speed of a body dropped from rest is:

[tex] v = gt [/tex]

So, if the speed of a body dropped after 6 seconds is 58.8 m/s, after 4 seconds later is:

[tex] v = gt = 9.81 m/s^{2}*(4s + 6s) = 98.1 m/s = 98 m/s [/tex]

Hence, the body is falling at 98 m/s after 4 seconds later.

I hope it helps you!


Related Questions

There are 84 turkey and 63 ham sandwiches to be places on trays. Each tray should have only one kind of sandwich, and all trays have the same number of sandwiches. If you place the greatest possible number of sandwiches on each tray, how many trays will you have with turkey and how many with ham?

Answers

it should have 83 turkey and 83 ham and one extra.

Which of these numbers is irrational? O A. - 5 9 O B. 1.618 C. 43 O D. VO​

Answers

Answer:

D) [tex]\sqrt{6}[/tex]

Irrational numbers are numbers that cannot be expressed in the form of p/q where q is not equal to zero.

Here is how to understand if a number irrational or not:

Irrational numbers will have decimal expansions which are non-terminating and non-recurring (no pattern or repetition o certain groups of numbers couldn't be observed and the decimal expansion will not ever end)

EXAMPLE: For non-recurring and non- terminating decimal expansions.

2.258755655554517144516517849616128478462131...................76.2879485165886225568656559781230414746108....................4987.251484561515484513184964989494555121266....................

In the above examples, it can be observed that all the decimal digits had no pattern and they will never end.

In this question, the answer is root 6. but it is not necessary that we have to find the decimal expansion, but we ccanfind it easily just by findinf if the given number is a perfect square or not.

EXAMPLE:

[tex]\sqrt{4}[/tex] is a rational number as 4 is a perfect square.[tex]\sqrt{100}[/tex] is a rational number as 100 is a perfect square.[tex]\sqrt{8}[/tex] is not a rational number as 8 is not a perfect square

PLSS!!! HELP ME!! I WILL MARK U!!!

Answers

Answer:

i will

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

14-4(a-b)^2

14-4(2-3)^2

14-4(-1)^2

14-4*1

14-4

10

10. Which of the following rational numbers is the smallest?Required to answer. Single choice.

(1 Point)

4/7

-26/7

0

-1.6​

Answers

Step-by-step explanation:

-26/7 = -3 5/7

Because that is the smallest

'Hope it would help'

Answer:

0

Step-by-step explanation:

0 is the smallest rational number.

PICK ALL THAT ARE EQUIVALENT TO -5/19

Answers

Answer:

Step-by-step explanation:

The anwser is 2,3,4,5

Answer:

...

Step-by-step explanation:

hey your from my middle school! we are in the same class!

The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?

Answers

Answer:

p = (200 + 7.5t) psi

Step-by-step explanation:

The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.

The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t

so that;

p = 200 + 7.5t

  = (200 + 7.5t) psi

If the temperature increases by [tex]1^{o}[/tex] F, then;

p = 200 + 7.5(1)

  = 200 + 7.5

  = 207.5 psi

If the temperature increases by [tex]10^{o}[/tex] F, then;

p = 200 + 7.5(10)

  = 200 + 75

  = 275 psi

Please help???
-x + y=1
2x+y=-2

Answers

Answer:

(x, y) = (-1, 0)

Step-by-step explanation:

Here:

1. -x + y = 1

2. 2x + y = -2

so just temporarily....

multiply #1 by 2

and

multiply #2 by 2

1. -2x + 2y = 2

2. 4x + 2y = -4            then subtract top from bottom.

   -6x + 0  = 6

          -6x = 6

             x  = -1

Then implement x = -1 into the original state of #2

2. 2(-1) + y = -2

      -2 + y = -2

             y = -2 + 2

             y = 0

(x, y) = (-1, 0)

WooHoo! pls brainliest ;) !

1 quart to 1 gallon

Answers

4 quarts equal 1 gallon. 1 quart to 1 gallon is 0.25 of a gallon.

I dont understand this, plz help, will mark Branliest!

Solve for x: −3|x + 7| = −12 (2 points)

x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11

Answers

X will equal 11

Work:
-3(x+7)=-12
-3x - -21= -12
-21 + -12= -33
-33/-3 = 11

can anyone pls helppppp

Answers

hourly rate:
39(1.3r) = 541.80
(hours times hourly rate equals profit)

then solve
1.3r = 13.89
r = 10.69

the hourly rate is $10.69


to answer the bottom question, 390 + 117 = 507, but that’s not close to 541.80 so I have no idea what they’re asking there

I need help!!! :( pleaseeee

Answers

Answer:

2/8 more days

Step-by-step explanation:

5/8-3/8=2/8

I believe the answer would be 2/8 days:)

hellllp me with this plz thaks

Answers

The answer is 64 fluid ounces

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!

Answers

I got 2 : 3. You didn’t give answer choices but after you commented the answer choices I was able to determine that 2:3 is the answer.

What is the product of 2/12 and 1/14? If you get it correct ill mark ya brainly.

Answers

Answer:

1/84

Step-by-step explanation:

Answer:

1/84

Step-by-step explanation:

2/12 x 1/14

Can be simplified to:

1/12 x 1/7

12 x 7 = 84

1/84

Please let me know if I'm wrong :)

John bought a new TV. The tag in the shop said it cost £299 + VAT.
If VAT is charged at 20%, how much did he pay (to the nearest penny)?​

Answers

Answer:

59.8

Step-by-step explanation:

20÷100×299

0.2×299

59.8

On the map the distance between two towns is 10.5 centimeters. If 3 centimeters represents 90 miles what is the actual distance between the cities in miles?

Answers

Answer: 315 miles

Step-by-step explanation: First divide 10.5 and 3.

10.5 / 3 = 3.5

Then multiply that by 90.

3.5 x 90 = 315

The actual distance in miles between the cities is 315 miles.

Given,

On the map the distance between two towns is 10.5 cm.

If 3 cm represents 90 miles what is the actual distance between the cities in miles?

How to compare two quantities?

We need to multiply in such a way that we get the required expression in one side of the equation.

Example:

If 9 apples in 3 baskets.

9 apples = 3 basket.

In 2 basket we have,

3 basket = 9 apples

Multiply 2/3 on both sides.

2/3 x 3 basket = 2/3 x 9 apples

2 basket = 6 apples.

We have,

Distance between two towns = 10.5 cm

3 cm represents 90 miles.

We can write it as:

3 cm = 90 miles

Multiply 10.5/3 on both sides

10.5/3 x 3 cm = 10.5 / 3 x 90 miles

10.5 cm = 10.5 x 30 miles

10.5 cm = 315 miles

Thus the actual distance in miles between the cities is 315 miles.

Learn more about representing actual distance in km on a map in cm here:

https://brainly.com/question/16688000

#SPJ2

Q.4 Find the area and perimeter of a square of side 85/4​

Answers

Given:

• Side of the square = 85/4 m.

To find :

• Area of the square

• perimeter of the square .

Solution :

As we know that :

• Area of square = (side)²

=> Area of square = (85/4)²

=> Area of square = 7225/16

=> Area of square = 451.5 m².

Now ,

• Perimeter of square = 4 (side)

=> Perimeter of square = 4(85/4)

=> perimeter of square = 85 m.

HENCE, THE AREA IS 451.5M² AND PERIMETER IS 85M.

I hope it will help you.

Regards.

Anyone know the answer ?

Answers

Its A i think. Like ya cut g

Answer:

b

Step-by-step explanation:

hope this helps

Which graph represents the function f(x) = |x|-4?

Answers

Answer:

Which graph represents the function f(x) = 4|x|?

B is the correct answer

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Edg2021

2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°

Answers

Answer:

90°

Step-by-step explanation:

33+57=90

180-90=90

Which statement(s) apply to stratified random sampling? Check all that apply.

A) It can provide better estimates than a simple random sample.
B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.
C) A challenge is that it is necessary to have strata of the same size.
D) Creating strata of similar individuals to sample from reduces variability.
E) It can be difficult to obtain with a very large population.

Answers

Answer:

The correct options are;

A) It can provide better estimates than s simple random sample

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study

E) Creating strata of similar individuals reduces variability

Step-by-step explanation:

In order to reduce the variance in the population being studied the stratified sampling technique is used which consists of separating the given sample from the population into different strata based on known characteristics and finding out the result of the experiment in each strata. Each strata posses a common or shared attribute such as educational level or total level of income.

The statements that apply to stratified random sampling are;

A) It can provide better estimates than a simple random sample.

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.

D) Creating strata of similar individuals to sample from reduces variability.

E) It can be difficult to obtain with a very large population.

Stratified random sampling is a method of sampling from a population that involves dividing the entire population into homogeneous groups that called strata.

The way it is done is that a random sample from each stratum is usually taken in a number that proportional to the size of the stratum if we compare it to the population size.

From the definitions above, the options that apply are, A, B, D and E.

Read more about stratified random sampling at; https://brainly.com/question/1954758

Click through and select the graph that correctly shows the following points:

X(-2, 0), Y(3, -5), and Z(0, 3).

Answers

Answer:

The second graph

Step-by-step explanation:

each of the points you listed are graphed on there.

Answer:

the answer is graph number 2

it has X(-2, 0), Y(3, -5), and Z(0, 3) points on it !

plz help im biog help

Answers

Answer:

1.06 = 19.08

x = $5.75

The cost of the cat food is $5.75.

Step-by-step explanation:

solve the inequality 809>-11+5/8n write the solution in set notation

Answers

Answer:

-798>n

Step-by-step explanation:

emilythompson35464

hope this helps srry if it doesn't tho

Answer:

1312

Step-by-step explanation:

i just did it and got it right

If you cut a 3 ¾ ft. length of wire into pieces that are ¼ ft. long, how many pieces
of wire will you have?

Answers

Answer:

3 2/4

Step-by-step explanation:

3.5 or just 3 if you round

A tree that was 7 1/4feet tall grew 10 inches one
year and 1/6 of a foot the following year. How tall
was the tree after two years?
a. 8 feet, 3 inches
b. 8 feet
c. 7 feet, 6 inches
d. 7 feet

Answers

Answer:

A

Step-by-step explanation:

Please give brainliest!

write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12​

Answers

Answer:

y  = [tex]\frac{1}{2}[/tex]x - 2

Step-by-step explanation:

Given parameters:

    Coordinates = p(4,0)

  Equation of the line   -x+2y=12​

Solution:

A line parallel to the given line will have the same slope as it is;

     -x+2y=12​

          2y = x + 12

            y = [tex]\frac{1}{2}[/tex]x + [tex]\frac{12}{2}[/tex]

 Since this conforms to y = mx + c where;

    x and y are the coordinates

    m is the slope

   c is the intercept

Our slope is [tex]\frac{1}{2}[/tex]

The equation of the line is

      y = mx + c

let us find c;

     c  = y - mx

     c = 0 - ([tex]\frac{1}{2}[/tex] x 4)

     c = -2

Now the equation of the line parallel to the line given is;

     y  = [tex]\frac{1}{2}[/tex]x - 2

Find the equation of the line parallel to the line y = 4x + 10, that goes
through the point (5, 1)

Answers

Answer:  the slope of y=−4x+10 is: −4.

Step-by-step explanation:

A truck can be rented from Company A for ​$160 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

la respuesta correcta es $123.222per mile

Answer: T he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160miles.

Step-by-step explanation:

Step 1

Let us  write the rental cost with each company:

Company A , they will charge =$160 +$ 0.40x

Company B, They will charge = $80 + $0.90x

Where x =number of miles travelled

Step 2

we then find the number of miles in a day at which the rental costs for Company A and Company B will be  the same by equating both equations and solving for x

160 + 0.40x= 80 + 0.90x

160-80 = 0.90x-0.40x

80= 0.50x

x= 80/0.5

x= 160

Therefore t he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160 miles.

please help me with this.

Answers

Answer:

I think ans-d is the answer

Step-by-step explanation:

plz mark me as brainlist

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