A baseball is thrown in parabolic arc its position above the ground at a given point in time can be represented by a quadratic function p(t)= 1/2gt^2 + v0t +p0 where t > 0, g is -32ft/sec/sec, V0 is additionally velocity and P0 SH initial position above the ground. If the ball is thrown straight up 16ft/sec when it was 5ft above the ground how high did it go

Answers

Answer 1

Answer:

13 ft.

Step-by-step explanation:

Since  p(t)= 1/2gt² + v₀t +p₀ and it us given that v₀ = 16 ft/s, p₀ = 5 ft and g = -32 ft/s².

Since the ball is thrown straight up, it does not follow a parabolic path.

So, If the ball is thrown straight up 16ft/sec when it was 5ft above the ground, then its height above the ground h(t) = v₀t +p₀. Substituting v₀ = 16 ft/s, p₀ = 5 ft , we have

h(t) = v₀t +p₀

Using v = v₀ + at, we calculate the time it takes to reach maximum height. At maximum height, v = 0, so,

v = v₀ + at

v - v₀ = at  

t = (v - v₀)/a where  a = g

So, t = (0 - 16 ft/s)/-32 ft/s²

=  - 16 ft/s/-32 ft/s²

= 1/2 s

= 0.5 s

Substituting t = 0.5 s, v₀ = 16 ft/s and p₀ = 5 ft into h(t), we have

h(t) = v₀t +p₀

h(t) = 16 ft/s × 0.5 s + 5 ft

h(t) = 8 ft + 5 ft

h(t )= 13 ft

The ball will go 13 ft above the ground.


Related Questions

Graham graphs the following system of equations to determine its solution.

2x + 4y = 12
2x - y = 2

What is the correct solution?

Enter your answer by filling in the boxes.

(__,__)

ASAP plz

Answers

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

After solving the equation, the value of for the points x and y are (2, 2).

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation in the question,

2x + 4y = 12   (i) and

2x - y = 2  (ii)

Solve the value for y,

5y = 10

y = 10/5

y = 2

Substitute y=2 in equation (i)

2x + 4(2) = 12

2x = 12 - 8

x = 4/2

x = 2

Therefore, the point is (2, 2).

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Point AAA is at {(-6,-5)}(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and point CCC is at {(4,0)}(4,0)left parenthesis, 4, comma, 0, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3. B=\large(

Answers

Answer:

(0, 2)

Step-by-step explanation:

Given the following

coordinate A (-6, 5)

Coordinate C (4, 0)

Ratio is 2:3

Required

Coordinate of B

Using the midpoint formula expressed as;

M(X,Y) = [(ax1+bx2/a+b), ay1+by2/a+b]

x1 = -6, y1 = 5, x2 = 4 and y2 = 0

a = 2  b = 3

Get X;

X = ax1+bx2/a+b

X = 2(-6)+3(4)/2+3

X = -12+12/5

X = 0/5

X = 0

Get Y;

Y = ay1+by2/a+b

Y= 2(5)+3(0)/2+3

Y = 10/5

Y = 2

Hence the coordinate of B is at (0, 2)

Answer:

the answer is (-2,-3)

Step-by-step explanation:

i got it right

30 Points and will mark brainliest: Bruce has $1200 in the bank. He wants to Save a total of $3000 by depositing $40 per week from his paycheck. Write and use an equation to find how many weeks he needs to reach his goal.

A - 1200x + 40 = 3000; x=45 weeks

B - 1200 + 40x = 3000; x = 45 weeks

C - x(1200 + 40) = 3000; x = 45 weeks

D - x(1200 - 40) = 3000; x = 45 weeks

Answers

B looks about right.


The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?

Answers

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x

Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1

Perimeter of a rectangle = 2(length + breadth)

50 = 2(2x + 1 + x)

50 = 2(3x + 1)

50 = 6x + 2

6x = 50 - 2

6x = 48

x = 48/6

x= 8

Width = 8ft

Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft

Area = Length × Width = 17 × 8 = 136ft^2

196 divided by 3.5 show your work

Answers

The value of 196 ÷ 3.5 is 56

What is division?

Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division. The main goal of dividing is to see how many equal groups are formed or how many are in each group when sharing fairly.

For example, if 50 apples are to be shared by 5 people , the number of apples allocated bto a person is 50/5 = 10 apples

196/3.5

to solve the we can multiply the numerator and denominator by 10 to make all whole number

= 1960/35

we can now simplify

divide through by 5

392/7

divide through by 7

= 56

therefore the value of 196/3.5 is 56

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is f(-2) positive or negative

Answers

Answer:

Depends on [tex]f(x)[/tex]

Step-by-step explanation:

Example:

if [tex]f(x) = |x|[/tex]

then [tex]f(-2) = 2[/tex]

if [tex]f(x) = x ^ 3[/tex]

then [tex]f(-2) = -8[/tex]

research: even & odd functions.

Answer:

negative

Step-by-step explanation:

because in number 2 got the little line in one side

8 - 5.5 =
10.5 - 8=
13 - 10.5 =
15.5 - 13=

Answers

1. ) 2.5
2.) 2.5
3.) 2.5
4.) 2.5
Lol wow :)

1) 2.5

2) 2.5

3) 2.5

4) 2.5

An isosceles triangle has an angle that measures 50°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

is their any options cause what the question says is to choose or am I wrong.

Help ill give brainlist

Answers

Answer:

x=2

Step-by-step explanation:

PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!

Which equation models the trend line?

A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2

Answers

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

Determine the measure of the unknown angle in the triangle.

Answers

you add 78 plus 37 then subtract from 180

Answer:

65°

Step-by-step explanation:

Let the unknown angle be ∠ABC

∠ABC + 78° + 37° = 180° (angle sum property of a triangle)

∠ABC + 115° = 180°

∠ABC = 180° - 115°

∠ABC = 65°

∴the unknown angle in the triangle is 65°

what is the sales tax of 9.25% on a tv costing 234.25

Answers

Answer:

[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

I NEED THE ANSWER I HAVE 15 MINUTES LEFT!!
On a high school varsity baseball​ team, 5 players are​ sophomores, 11 are​ juniors, and 13 are seniors. The team selects 4 honorary​ co-captains by drawing names from a hat.​ What's the probability that all 4​ co-captains come from the same​ class?

Answers

Answer:

4 in 33

Step-by-step explanation:

all you do is add the amount of people and the propability number first

4 in 33

Mia's work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below. Mia's Work Step 1 StartFraction 3 minus 35 Over 10 minus 91 EndFraction Step 2 StartFraction negative 32 Over negative 81 EndFraction Step 3 StartFraction 32 Over 81 EndFraction What was the first error that Mia made?

Answers

Answer:

Mia switched the numerator and the denominator.

Step-by-step explanation:

i got it right on edge 2020

and uh also because its y2 - y1 over x2 - x1, not x2 - x1 over y2-y1.

Answer:

C

Step-by-step explanation:

X^2-x-12, please show your work so I can know how to do it. Thank you:))

Answers

you have to split the -x into 2 numbers that multiply to the same product as the two outside numbers so x^2+3x-4x-12
then split it and factor x(x+3)-4(x+3)
then you get (x-4)(x+3)

I took an Uber that had a bill of $15.20. I left a 15% tip. How much was the Uber including the tip?

Answers

Answer:

$17.48

Step-by-step explanation:

^^^^^^^^^^^^^

8( y- 7) please answer this I will give brainliest

Answers

Answer: 8y − 56

Step-by-step explanation:

Multiply using the distributive property.

ANSWER: 8y-56

You have to use distributive property when answering this question. 8 goes into y so it turns into 8y and 8 is then multiplied into (-7). So it would be 8(-7) and that equals -56.

Therefore, your answer would be 8y-56

What is the slope of a line that passes through (0,4) (6,13)

Answers

Answer:  m=3/2

.

Step-by-step explanation:Use the slope formula to find the slope  

m

.

My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer.

Answers

Answer:

I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.

Step-by-step explanation:

Like 32-34 I think.
..

Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball? ​

Answers

Answer:

12

Step-by-step explanation3%36

Jin's mother estimates there is a half-gallon of fruit punch remaining in the container. There are actually 72 ounces of fruit punch in the container. Find the percent error of Jin's mother's estimate. Round the percent to the nearest tenth if necessary HELP DUE IN 10 MINUTES

Answers

Answer:

89%

Step-by-step explanation:

the real answer is 64 fluid ounces

64/72*100 which is 88.89% or 89%

Hope this helps plz hit the crown :D

The percent error of Jinn's mother's estimate is 11.12%.

What is Percentage Error?

The degree to which a measured or calculated value is closest to its true value is measured by its accuracy. The error percentage is calculated by multiplying the error to real value by 100. The repeatability of a set of measurements is gauged by the precision of each measurement.

Given that Jinn's mother estimates there is a half-gallon of fruit punch remaining in the container. Therefore, the estimated amount can be written as,

Estimated amount = 0.5 gallons = 0.5 × (128 ounces) = 64 ounces

It is also given that there are actually 72 ounces of fruit punch in the container. Therefore, the percent error of Jin's mother's estimate is

Percentage Error = [ |Estimated value - Real Value| ) /Real Value] × 100%

                             = [( |64 ouches - 72 ounces| )/72 ounces] × 100%

                             = [(8 ounces)/72 ounces] × 100%

                             = 0.11111 × 100%

                             = 11.12%

Hence, the percent error of Jinn's mother's estimate is 11.12%.

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50,6291583.9741
What place value does 4 hold in the number above?

Answers

number 4 is in the thousanths place

Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?

-4/5
1/5
5/4
5

Please answer FAST!!!

Answers

Answer:

5/4

Step-by-step explanation:

45 × ? = 10

Answer:

5/4

Step-by-step explanation:


Find the value of X*
X=
X х
8
12

Answers

Answer:

12

Step-by-step explanation:

This is a proportion question.

8/x = 12/(12 + 6)

8/x = 12/18             Reduce the right hand side

8/x = 2/3                Cross multiply

2x = 8*3                 Combine the right side

2x = 24                  Divide by 2

x = 24/2

x = 12  

A bicycle has a listed price of $765.95 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax Included.

Answers

Answer:

The total cost is $ 589.06

Step-by-step explanation:

Answer:

$838.72

Step-by-step explanation:

$765.95 x 1.095 = $838.72

The parabola with the vertex at (5,5) and a focus (7,5) would open

Answers

Answer:

Up. The focus is above the vertex meaning the parabola will open up. If the focus was below the parabola then it would open down.

Step-by-step explanation:

5(–9x + 1) + 5 = –10x + 5(–7x + 2)

Answers

Answer:-

here's the answer

thianamccornell1 no one else

Answers

Answer:

Oh I see, that’s weird

Step-by-step explanation:

Maybe you have to wait a while or wait for somebody else to answer because that’s what happens to me sometimes

ANSWER WHAT YOU CAN NEED THEM ASAP PLZ

Answers

Answer:

5. 23

6. 26

7. 20

8. 45

9. 15

10. 120

11. 60 full triangle is 180 and since it is equilateral you divide it by 3 you get 60

12. It is not possible. if you use the pyagorean theorem (not sure on spelling of that?) you get 16 so its not possible for it to be 12.

What is Which equation correctly demonstrates the Distributive Property? F. $a\left(b+c\right)=ab+c$ G. $a\left(b+c\right)=ab+ac$ H. $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$ I. $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$

Answers

Answer:

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

Step-by-step explanation:

Given

[tex]F.\ $a\left(b+c\right)=ab+c$[/tex]

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

[tex]H.\ $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$[/tex]

[tex]I.\ $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$[/tex]

Required

Which of the options shows Distributive Property

Distributive property states that

For: [tex]a(b + c)[/tex]

The equivalent is: [tex]ab + ac[/tex]

In other words:

[tex]a(b + c) = ab + ac[/tex] ----- (1)

Having mentioned that;

Next, we compare the list of given options to (1) above

Option G matches (1).

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

Hence, option G correctly demonstrates distributive property

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