A stone is thrown horizantally with a velocity of 50 m/s from the top of a building. Find its velocity after 2 seconds.

Answers

Answer 1

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°


Related Questions

Which answer describes the type
of sequence?
3, 4, 7, 11, ....

neither arithmetic nor geometric
geometric
arithmetic

Answers

arithmetic is the answer

Answer:

it's arithmetic.

Step-by-step explanation:

geometric sequence is when each term moves on by dividing or multiplying.

arithmetic sequence is basically addition and etc.

14cm
12 cm
22cm. Find the area.

Answers

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]

Una moto A consume 8,2 litros de gasolina por cada 100km y otra moto B 8,9 litros de gasolina también por cada 100km. Calcula la gasolina que consume una moto en 1 km

Answers

Respuesta:

Motocicleta A = 0.082 litros por km

Motocicleta B = 0.089 litros por km

Explicación paso a paso:

Dado :

Consumo de gasolina de la motocicleta A y la motocicleta B por 100 km

Motocicleta A = 8.2 litros

Motocicleta B = 8,9 litros

Consumo por kilómetro:

Litros consumidos por 100 km / 100 km

Motocicleta A:

8.2 / 100 km

= 0,082 litros por km

Motocicleta B:

8,9 / 100 km

= 0,089 litros por km

Which is larger? Convert to a decimal using long division. please show your work!!

Answers

Answer:

1.255

Step-by-step explanation:

10^-1 equals 0.1

1÷8=0.125

so our greatest one is 1.255


Find the product 8/6n - 4(9n^2 -4)

Answers

Answer:

- (27n^3 - 12n - 1) over 3n

Step-by-step explanation:

Jack and Jill each opened accounts that earn 5% interest compounded annually. Jack deposited $2500 and Jill deposited $3000. No additional money was deposited or withdrawn. At the end of 6 years, what will be the combined balance of these two accounts? (Round to the nearest cent)

Answers

Answer:

3,850

Step-by-step explanation:

have a good day!!

A snow storm hit Sanford
with 7 inches of snow in 28
hours. What was the rate of
the snowfall in inches per
hour?

Answers

Answer:

4 inches per hour

Step-by-step explanation:

7 x 4 = 28

PLZZ MHANIFA THIS THE LAST ONE
its all in the pic

Answers

Answer:

1) Use two points to find the slope

Points from the graph

(0, -1) and (1, 2)

Find the slope:

m = (2 - (-1))/(1 - 0) = 3

Slope is 3, y-intercept is -1

The line is:

y = 3x - 1

This is non-proportional as not passing through the origin (0, 0)

2) One point is sufficient to determine the slope as the line passes through the origin

Point (5, 2)

The slope is

m = 2/5

Line is:

y = 2/5x

This is proportional

3)  is answered here: https://brainly.com/question/23004781

Martha rolls a 6 sided number cube two times.
What is the probability that she will roll a prime number both times.

Answers

Answer:

25% chance

Step-by-step explanation:

There are 3 prime numbers on a 6-sided die so that means there is a 1/2 chance you roll a prime number. In order to calculate the probability of 2 or more events you multiply their probability which would be

1/2 * 1/2 = 1/4

So the chance of rolling a prime number on both rolls is a 1/4 chance or a 25% chance

The probability that she will roll a prime number both times is 0.25.

What is the probability?

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Martha rolls a 6 sided number cube two times.

And the prime numbers in the cubes are {2, 3, 5}.

The probability that she will roll a prime number both times,

= 3/6 x 3/6

= 1/2 x 1/2

= 1/4

= 0.25

Therefore, 0.25 is the probability.

To learn more about the probability;

brainly.com/question/11234923

#SPJ2

Find the 13th term of the arithmetic sequence -3x+7, -5x+3,−7x−1,...

Answers

Answer:

-27x - 41

Step-by-step explanation:

Answer attached

Hope it helps:)

Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is is ​P(​) . Write this probability as a decimal. Use a word or phrase to describe this probability.

Answers

Question:

Suppose you have a bag of colored plastic disks, and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25.

Write this probability as a decimal.

Use a word or phase to describe this probability

Answer:

[tex]P(yellow)=0.2[/tex]

Unlikely event

Step-by-step explanation:

Given

[tex]P(yellow)=\frac{5}{25}[/tex]

Solving (a): Express as decimal

[tex]P(yellow)=\frac{5}{25}[/tex]

As decimal, we have:

[tex]P(yellow)=0.2[/tex]

Solving (b): Description

Since the probability is closer to 0 than 1, we can say that the probability of picking a yellow is unlikely

A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price? Write an equation and solve to find the original price.

Answers

Answer: 341.4286

Step-by-step explanation:

A circle is graphed on a coordinate grid and then reflected across the y axis. if the center of the original circle was located at (x,y), which ordered pair represents the center of the new circle after the transformation?

Answers

Answer:

(-x,y)

Step-by-step explanation:

If it's positive and you flip it accross the y-axis, the x- coordinates become negative.

This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128

Answers

Answer:

rule multiply of 4

Step-by-step explanation:

beacause 4×1=4

4×2=8

4×4=16

4×8=32

4×16=64

4×32=128

that's all I know

The following ordered pairs model a linear function rule.
(-2,-9), (-1,-7), (0,-5), (1,-3), (2,-1)
Which ordered pair can be added to the given set and still have the set represent the same linear function?


a. (1,3)

b. (-3,-11)

c. (3,11)

d. (4,0)

Answers

The answer is c (3,11)

Answer:

c (3,11)

Step-by-step explanation:

What is the length of each leg of the triangle below?

explain it please so i know how to do it please

Answers

Answer:

I can't see the file. But I did something that sounded LIKE this. So try multiplying the parallel sides.

Step-by-step explanation:

A metal block is delivered to a construction site. The block is in the shape of a rectangular prism.

what is the approximate length of the highlighted diagonal

A. 8.9 Feet
B. 11.6 feet
C. 12.3 feet
D 13.2 feet

Answers

Answer:

C.

Step-by-step explanation:

Answer: c 12.3

Step-by-step explanation:

solve:
4sinx=3cosecx(0<=X<=180°)​

Answers

Answer:

x=60°,120°

Step-by-step explanation:

4sinx=3cosecx

4sinx-3cosecx=0

4sinx-3/sinx=0

4sin²x-3=0

sin²x=3/4

sinx=√(3/4)

sinx=√3/2=sin60°,sin(180-60)

Answer:

sin(180-60) is the correct answer Hope it helps you have a great day keep smiling be happy stay safe

What is the prime factorization of -14x^4

Answers

Here are the real answers to this besides the other person’s

Evaluating Expressions
Use the order of operations to help you solve.
67 - (8 X 6)
(100 + 25) = 5
18 X (32 +16)
67 - 48
125/5
19
-

Answers

Answer:

(100 + 25) / 5

125/5 = 25

18 x (32/16)

18 x 2 = 36

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

Which of the following is the equation of a line that has a slope of -2 and passes through the
point (1,6)?
A.y=x+6
B.y=-2x+8
C.y=-2x+4
D.y=1/2x+4

Answers

Answer:

B. y = -2x + 8

Step-by-step explanation:

So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.

And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)

6 = -2(1) + x

6 = -2 + x

x = 8

The one with both of these is B, which means B is the answer

Answer: B. (y=-2x+8)

explanation: use slope point intercept
y-y1=m(x-x1)
y-6=-2(x-1)
y-6=-2x+2
y=-2x+8

Solve for x.
5(x - 2) = 30

Solve for x.
9 - 3x = 1 + x

Solve for x.
-3 + x = 2(x+3)

Solve for x.
7 = 3x - 5

Solve for x.
5x + 8 = 3x - 2

Solve for x.
2x - 9 = x + 7

Solve for x.
3x + 3 = 4 + x + (-1)

Solve for x.
3(2x + 4) = -6

Answers

1. x= 8

2. x=2

3. x=-9

4. x=4

5. x= -5

6. x=16

7 x=0

8: x=-3

Hope this helps!

Answer:

x > -1

Step-by-step explanation:

Move the constant to the right

-3x  6 -3

Subtract the numbers

-3x < 3

Divide both sides of the inequality by -3 and flip the inequality sign

x> -1

solution:

x > -1

What are the measurements of each angle?

Answers

Answer:

2. 70

3. 70

4. 110

5. 110

6.70

7. 70

8. 110

Step-by-step explanation:

a straight line = 180 so 1+2 has to = 180 1+3 has to = 180 2+4 has to = 180 and so on

Find the values of the measures shown when each value in the data set increases by 25. Mean: 109 Median: 104 Mode: 96 Range: 45 Standard deviation: 3.6

Answers

Answer:

The new values are as follows:

Mean: 134

Median: 129

Mode: 121

Range=45

Standard Deviation=3.6

Step-by-step explanation:

When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

[tex]Mean_{new}=Mean_{old}+k[/tex]

Here [tex]Mean_{old}[/tex] is 109 and k is 25 thus

[tex]Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134[/tex]

Similarly

[tex]Median_{new}=Median_{old}+k[/tex]

Here [tex]Median_{old}[/tex] is 104 and k is 25 thus

[tex]Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129[/tex]

Also

[tex]Mode_{new}=Mode_{old}+k[/tex]

Here [tex]Mode_{old}[/tex] is 96 and k is 25 thus

[tex]Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121[/tex]

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

[tex]Range_{new}=Range_{old}\\Range_{new}=45[/tex]

Similarly

[tex]Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6[/tex]

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.

Mr. Todd runs 3/4 of a mile every 1/10 of an hour. What is his unit rate in miles per hour?​

Answers

Answer:

15/2 miles/hour

Step-by-step explanation:

this is the .answer in the pic

Xander had $24, he spent 3/4 of it how much money does he have left? What is the common mistake? Write in (show your work)

Answers

Answer:

6. The common mistake is believing that the 3/4 money is remaining.

Step-by-step explanation:

Since Xander spent 3/4 of the money, you would need to multily 24 dollars by  3/4 and find amount spent. This would be 18. Then subtract 24 -18 to get an answer of $6

last one i hope (no pictures).

Answers

Answer:

9

Step-by-step explanation:

RST = 90

90 - (22 + 41) = 27.

3x = 27

27/3 = 9

x = 9

Use your understandinh of rational functiosn to answer the followinh wuestions about the relationship of concert profit

Answers

Question:

Use your understanding of rational functions to answer the following question about the relationship of concert profit P(x)=-25x^2+875x-4750 to concert operating expenses c(x)=4750-125x.

Write an algebraic rule for the function T(x), which gives the ratio of profit to operating expenses, that is, the number of dollars earned for every dollar spent by the concert promoters.

Answer:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]

Step-by-step explanation:

Given

[tex]P(x)=-25x^2+875x-4750[/tex] --- concert profit

[tex]c(x)=4750-125x.[/tex] --- concert operating exercise

Solving (a): An expression for T(x)

T(x) is the ratio of P(x) to c(x)

So:

[tex]T(x) = \frac{P(x)}{c(x)}[/tex]

[tex]T(x) = \frac{-25x^2+875x-4750}{4750-125x}[/tex]

Factorize

[tex]T(x) = \frac{-25(x^2-35x+190)}{-25(-190+5x)}[/tex]

[tex]T(x) = \frac{x^2-35x+190}{-190+5x}[/tex]

Rewrite as:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]

Please help I will mark Brainiest for first and correct answer

Steven is making mini berry pies. For the filling, he mixes 1 pound each of raspberries, blueberries, and blackberries. Then, he scoops 6 ounces of the filling into each mini pie tin. If he wants to use up all of his filling, how many mini pies can he make?


Please help I will mark Brainlist for fastest and correct answer

Answers

Steven will be able to make 8 mini pies


16 + 16 + 16 = 48

48/6 = 8

At a football game, a vender sold a combined total of 181 sodas and hot dogs. The number of hot dogs sold was 51 less than the number of sodas sold. Find the
number of sodas sold and the number of hot dogs sold.

Answers

Answer: Number of hot dogs sold = 65

number of soda sold = 116.

Step-by-step explanation:

Let the number of hot dogs sold be represented by x.

Since the number of hot dogs sold was 51 less than the number of sodas sold, then the number of soda sold will be: = x + 51

Since the addition of both hot dogs and soda equals 181, we can form this into an equation which will be:

= x + (x + 51) = 181

x + x + 51 = 181

2x + 51 = 181

2x = 181 - 51

2x = 130

x = 130/2

x = 65

Number of hot dogs sold = 65

Since number of soda sold equals:

= x + 51

= 65 + 51

= 116

Therefore, number of soda sold is 116.

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