Sam kicks a ball from the ground with a starting velocity of 32 feet per second. The ball soars into the air, arcs down with parabolic motion, and lands back on the ground. Write an equation to describe the height of the ball as a function of time, using h(t)=-16t^2+vt+s. PLS HELP!!!!!!

Answers

Answer 1

Answer:

The function that describes the height of the ball in time is  [tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex].

Step-by-step explanation:

Let suppose that ball experiments a free fall motion, which means that the ball is accelerated because of gravity and gravitational acceleration can be considered constant since height reached by the object is too small in comparison with the radius of the Earth. Therefore, we can assume that ball is accelerated uniformly.

Hence, the kinematic formula for the height of the ball ([tex]h(t)[/tex]), in feet, is described below:

[tex]h(t) = s + v\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)

Where:

[tex]s[/tex] - Initial height with respect to the ground, in feet.

[tex]v[/tex] - Initial velocity, in feet per second.

[tex]t[/tex] - Time, in seconds.

[tex]g[/tex] - Gravitational acceleration, in feet per square second.

If we know that [tex]s = 0\,ft[/tex], [tex]v = 32\,\frac{ft}{s^{2}}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the function that describes the height of the ball in time is:

[tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex] (2)


Related Questions

what is the solution to the inequality 3x-42>3

Answers

Answer:

x > 15

Step-by-step explanation:

Try to get x on a side by itself...

3x - 42 > 3

3x > 45

x > 15

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.2 cm and 6 cm. If there are 150 tiles in the mosaic, what is the area of the mosaic?

Answers

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

[tex]A=\dfrac{1}{2}\times Base\times height[/tex]

So, the area of Each right triangular tile is:

[tex]A=\dfrac{1}{2}\times 5.2\times 6[/tex]

[tex]A=\dfrac{1}{2}\times 31.2[/tex]

[tex]A=15.6[/tex]

There are 150 tiles in the mosaic. So, the area of the mosaic is:

[tex]Area=15.6\times 150[/tex]

[tex]Area=2340[/tex]

Therefore, the total area of the mosaic is 2340 cm ².

What is the circumference of a circle with a radius of 6 inches?

Answers

Answer:

37.7in

Step-by-step explanation:

C=2πr=2·π·6≈37.69911in

Answer:

37.6 (simplified)

Step-by-step explanation:

The formula for circumference is 2[tex]\pi[/tex]*r. Simply replace r with 6 and multiply from there. Normally you would simplify pi down to 3.14 as well.

what is the x and y intercept of y=6x+13

Answers

Answer: x-intercept(s):  

(-13/6,0)

y-intercept(s):

(0,13)

Step-by-step explanation:

b) The graph of y = x^2 + 1 is drawn on
the axes on the left.
Use the graph to estimate the
values of x when y = 4.
Give your answers to 1 decimal
place.​

Answers

Answer:

(-1.7,1.7)

Step-by-step explanation:

OK, first draw the line y=4.

It's a bit misleading- where you think 4 should go is actually 2!

Check the scale and draw down where the two points meet on the line. They should be the same.

You get -1.7 and 1.7

The value of x is [tex]x=\pm\sqrt{3}[/tex]

Graph of parabola:

The given function is;

                        [tex]y=x^{2} +1[/tex]

We have to find value of x when [tex]y=4[/tex]

               [tex]y=x^{2} +1\\\\4=x^{2} +1\\\\x^{2} =4-1=3\\\\x=\pm\sqrt{3}[/tex]

Graph is also attached below.

Learn more about the parabola here:

https://brainly.com/question/12896871

At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?

Answers

Answer:

-17°C at sunset

15°C at sunrise

Help me with this please. .. . . . .

Answers

Answer:

Se attached

Step-by-step explanation:

Solution is in the picture

The total cost of 5 boxes of pasta is $13.00. There are 12 ounces of pasta in each box. Each box of past costs the same amount.

What is the cost, in dollars, of the minimum number of boxes needed to total 48 ounces of pasta?

Answers

Answer:

minimum =4 cost= 10.40

Step-by-step explanation:

hope this helps:))

Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?

Answers

Answer:

$2,560

Step-by-step explanation:

Just multiply 256 by 10, and you get his money earned.

Hey, if you can help I would love it.

Answers

Answer:

the answer is C

Step-by-step explanation:

the number line shows the numbers 70/100 - 80/100. the x appears 6 lines after 70/100 which is 0.76

r= 26, h = 16, S = ?​

Answers

Answer:

S = 6

I think

Answer:

s=6

Step-by-step explanation:

if you are figuering it out in order then r=26 then you subtract 10 and get h=16 so then you subtract 6 more and get s=6

Chloe made 8 out of 20 baskets in her basketball game. What is her
experimental probability? ???

Answers

10 would be 50% so 1 is 5% 5x8 =40

Her experimental probability is 40%

Find the slope of the line through the points (4,5) and (-7,6)

Answers

Answer:

m = -1/11

Step-by-step explanation:

m = rise/run = (y2-y1)/(x2-x1)

Guys pls help me!!!!!

Answers

Answer:

Fourth

Step-by-step explanation:

This isn’t high school math by the way.

The circled object is number 4 in the sequence of the object, thus, being the fourth object.

The answer is B forth

What are the values of x and y, in the given figure?​

I'll give brailiest to the first response

Answers

Answer:

y = 52

x = 5

Step-by-step explanation:

Side BC and Side BA are congruent sides ( indicated by the two dashed lines. )

This meaning that their opposite angles are also congruent

Side BC's opposite angle is ∠A and side BA's opposite angle is ∠C

Hence ∠A ≅ ∠C

And because ∠A = 52°, ∠C also equals 52°

Hence y = 52°

Now we want to find x

We can do this by creating an equation using the triangle angle rule which states that the angles in a triangle add up to equal 180

so...

180 = 14x + 6 + 52 + 52

now we solve for x

step 1 combine like terms

52 + 52 + 6 = 110

now we have 180 = 110 + 14x

step 2 subtract 110 from each side

180 - 110 = 70

110 - 110 cancels out

now we have 70 = 14x

step 3 divide each side by 14

14x/14 = x

70 / 14 = 5

we're left with x = 5

suppose I have a 30, 60, 90 right triangle. The hypotenuse is 10 units long. How long are the other sides?

a) short leg = 5; long leg = 5 √2

b) short and long leg = 5 √2

c) short leg = 5; long leg = 5 √3

d) short leg = 5; long leg =8

Answers

Answer:

option c

Step-by-step explanation:

The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.

⇒ sin 30 = p/h

⇒ 1/2 = p/10

⇒ p = 10/2

p = 5

Using Cosine now ,

⇒ cos 30° = b/h

⇒ √3/2 = b/10

⇒ b = √3/2 × 10

b = 53

Short leg = 5Long leg = 53 Hence option C is correct.

Answer:

c) short leg = 5; long leg = 5 √3

Step-by-step explanation:

How long are the other sides?

short leg = 5; long leg = 5 √3

Equation of a line


Equation of a line.

⚠️IF YOU KNOW, PLEASE HELP ME THIS I HAVE TO SUBMITTED TODAY!!! ( ⚠️


Write the Equation of the line in fully simplified slope- intercept form


Answers

Answer:

y=-6/5x-2

Step-by-step explanation:

We are given points (5,-8) and (-5,4)

Slope = m = (y₂-y₁)/(x₂-x₁) = (-8-4/(5-(-5)) = -12/10 = -6/5

Y-intercept = b = (0,-2)

Final equation: y=-6/5x-2

Answer:

y=-6/5x-2

Step-by-step explanation:

y=mx+b

Its sloping downwards, so a negative slope.

two points: (-5,4) and (5,-8)

---------------------------------------------

so first find the slope.

y2-y1 / x2-x1  <= formula

so: -8-(4) / 5-(-5)

which becomes => -12/ 10

which is 6/5 the slope is 6/5

------------------------------------------

plug this into y=mx+b, where m is the slope

so: y=6/5x+b

------------------------------------------

obviously b is the y intercept, where the line meets y

the y intercept is -2

sooooooo final answer is

----------------------------------

y=6.5x+(-2)

-----------------------------------

Negative slope, so becomes y=6/5x-2

Please help me i need to turn this in by the end of the day

Answers

Answer:

n must be greater than 5 for the product to be greater than 10.

Step-by-step explanation:

10 times 2/5 = 4 (no)

10 times 6/5 = 12 (yes)

10 times 5/5 = 10 (no)

Answer:

The 3rd one I believe

Step-by-step explanation:

How many solutions does this equation have?

8z − 5 = 8z

Answers

Answer:

Zero

Step-by-step explanation:

Solve the equation by subtracting 8z from both sides:

8z − 5 = 8z

-5 = 0

-5 [tex]\neq[/tex] 0

This is a false statement, because -5 is not equal to zero.

This means that there are no solutions to the equation.

So, the equation has zero solutions

Because both sides of the equation have the same variable ( they both have 8x) this equation does not have any solutions.

Which expression is equivalent to: 4x - 2 + 6x
a- 10x - 2
b- 2x - 2
C- - 2x - 2
d- 24x - 2

Answers

You add the like terms which are 4x and 6x
4x + 6x= 10x

10x-2 Which is choice A

Answer:

a. 10x - 2

Step-by-step explanation:

4x - 2 +6x ( collect like terms )

4x +6x - 2

10x - 2

What is the Mode? 21,28.27.26.27.27.33.28.26.31​

Answers

Answer:

The mode is 27.

Step-by-step explanation:

To find the mode we must first put them in order from least to greatest.

21, 26, 26, 27, 27, 27, 28, 28, 31, 33

The mode means the most common number out of the data.  Therefore since 27 is the most common number, it is the mode.

Hey there!

The mode is basically the number you see MORE THAN ONCE.

So, the numbers in your data plot is/are

“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”

(I’m assuming)

21 is shown ONE TIME

28 is shown TWO TIMES

27 is shown THREE TIMES

26 is shown TWO TIMES

33 is shown ONE TIME

31 is shown ONE TIME

THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times

Answer: 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The graph represents the length and
I height of a wheelchair ramp. Find the
slope of the ramp.

Answers

Answer: 1/4

Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.

What is another word for relative frequency?

Answers

Answer:

frequency, relative frequency(noun) the ratio of the number of observations in a statistical category to the total number of observations. Synonyms: frequency, oftenness, absolute frequency, frequence.Step-by-step explanation:

brainliest?

Answer: frequency; ratio.

Step-by-step explanation:

1) Find a formula for a sub n for the arithmetic sequence a sub 1 = 7, d = 12.


2) Write the first 5 terms of the geometric sequence a sub 1 = 2, r = 2.

Answers

Answer:

Step-by-step explanation:

nth term = a₁ + (n-1)d = 7 + (n-1)12

:::::

nth term = a₁rⁿ⁻¹ = 2×2ⁿ⁻¹ = 2ⁿ

a₁ = 2

a₂ = 4

a₃ = 8

a₄ = 16

a₅ = 32

what is 1/3(w+18)=12 using distributive property?​

Answers

Answer:

w = 18

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] (w + 18) = 12 ← distribute parenthesis on left side

[tex]\frac{1}{3}[/tex] w + 6 = 12 ( subtract 6 from both sides )

[tex]\frac{1}{3}[/tex] w = 6 ( multiply both sides by 3 to clear the fraction )

w = 18

anyone know the answer?

Answers

5 maybe (I’m not pretty sure)

whats 2 +2 plss help me i need help

Answers

The answer to this question is 4
2+2=4 hope this helped lol


Find the scale factor that was used

Answers

scale factor is 2
30/15 = 2
20/10 = 2
The scale factor is 1.5.

15/10=1.5

30/20=1.5

Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]

We can assume the parent function to be:

[tex]y = \cos (x)[/tex]

The new function can be represented as:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]

[tex]A = 3[/tex]

[tex]c = \pi[/tex]

[tex]\frac{2\pi}{B} = 10[/tex]

Solve for B

[tex]B = \frac{2\pi}{10}[/tex]

[tex]B = \frac{\pi}{5}[/tex]

Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:

Vertically stretched by [tex]3[/tex]Horizontally compressed by [tex]\frac{\pi}{5}[/tex]Right shifted by [tex]\pi[/tex]

helppppppppppppppppppppp​

Answers

Answer:

1/3

Step-by-step explanation:

because the x axis or horizontal line intersex the line

Answer:

help is done...........................

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