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

Round 67,891 to the nearest hundred

Answers

Answer:

67,900

Step-by-step explanation:

The answer is 67,900

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

Help Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: thats a tuff one

Step-by-step explanation:

im not sure

The answer is D 8g to the power of 6 h to the power of 4 k to the power of 12-h to the power of 25 k to the power of 15

I will make you brainliest if correct. explain how you got it please

Answers

Answer:

Perpendicular

Step-by-step explanation:

Slope of l1=6\9 = 2\3

Slope of l2 =-3\2

perpendicular lines

Answer:

perpendicular

Step-by-step explanation:

l1 slope= 2/3

l2 slope= 3/2

Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?

Answers

Answer:

Starts at 6:15

Note: An hour is 60 minutes.

So an hour after 6:15 is 7:15 and an hour after that is 8:15. Now just add another 10 minutes and you get 8:25.

So the film ended at 8:25.

Which graph best represents a system of equations that has no solution?

Answers

Answer:

D, because parallel lines never have a solution.

Step-by-step explanation:

The graphs which show no solution is required.

Option D has no solution.

When a system of linear equations have a solution means that the lines intersect each.

This means for a given [tex]x[/tex] value of both equations there exists the same [tex]y[/tex] value.

Options A, B and C all have lines that intersect each other at some point.

In option D the lines are parallel to each other.

So, option D has no solution.

Learn more:

https://brainly.com/question/15721976?referrer=searchResults

How many buses do you need for 650 people if each bus holds 100 people?

Answers

Answer:

we would need 7

Step-by-step explanation:

because if each bus hold 100 and there is 650 we would need 7 buses

because we well have 6 fill bus and 1 half full bus

Answer:

7

Step-by-step explanation:

100/7 u would only ned the 7 and not the 100

Please help, I have nothing great to offer you though.


Which set of numbers includes only integers?

Answers

Answer

-10,-7,0,98,145

Step-by-step explanation:

Integers are whole numbers negative or positive.

Hope that helped :)

Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor.
How many toy cars are multicolor?
O 160
O 60
O 180
100

Answers

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

15 + 40 = 55, so 55% of the toy cars are not multicolor.

100 - 55 = 45 so 45% of the toy cars ARE multicolor.

To find what 45% of 400 is, we multiply 400 by 0.45

400*0.45 = 180 so there are 180 multicolor cars.

If the line y = x is flipped over the x axis and made flatter by a factor of 1/2 , write the equation of the new line .
PLEASE HELP

Answers

if the line is flipped you know what to do flip it over

Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce? Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce?

Answers

Answer:

54 years

Step-by-step explanation:

Joyce age = x

Alex age = y

3x = 2y - - - (1)

y - 9 = 2(x - 9)

y - 9 = 2x - 18

-9 + 18 = 2x - y

9 = 2x - y

y = 2x - 9 - - (2)

3x = 2y

3x = 2(2x - 9)

3x = 4x - 18

18 = 4x - 3x

18 = x

Hence,

Mrs stone is 3 * 18 = 54 years

distance between -5.4 and -3.8

Answers

Answer:

1.6

Step-by-step explanation:

In order to find the distance all you need to do is subtract the two numbers

so you would:

-5.4-(-3.8)=-1.6 or 1.6 since distance is not negative number.

A interesting fact to note is when you are subtracting negatives you can also just add the number as a positive

Ex.

5 - (-2) =7

5+2=7

I need help!!! Question: Elena has a pet parakeet the weighs 6 when measured in one unit and 170 when measured in a different unit.Which measurement is in ounces and which is in grams?

Answers

6 is grams and the other is ounce.

A gram is smaller than an ounce

Answer:

6 ounces equals to 170 grams

Step-by-step explanation:

Expand and simplify
(3x + 2)(x - 1)​

Answers

I’m pretty sure the answer is 3x^2 - x - 2

Given points A(9,3), B(-3,6), and C(-7,3). Which statement describe the vectors that include these points? Check all that apply

Answers

B C D F are the right answers

Step-by-step explanation:

Answer   c,e

Step-by-step explanation: i just did it

What is the area of this figure?
4 yd
2 yd
2 yd
2 yd
5 yd
5 yd
2 yd
6 yd

Answers

Answer:

4+8+10+6=28

Step-by-step explanation:

Plz help I’m getting timed

Answers

100*4/5



Hope all is well

I dont understand this question 2/5÷9/4 is the same as which of the following?​

Answers

Answer:

Step-by-step explanation:

You didn't list anything to choose from.

2/5÷9/4 When you have a division and fraction after it, change the sign to multiplication and flip the fraction.

2/5 * 4/9

8/45

through: (3, 5) parallel to y=3x-1

Answers

Answer:  y = 3x - 4  will be the parallel line to the line  y= 3x -1

Step-by-step explanation:

Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b  where m is the slope and b is the

y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.

 5= 3(3) + b  

5 =  9  + b

-9    -9

b = -4    

Since the y intercept is negative 4, the equation will be  y = 3x -4

y = 3x-4 yuh yuh yuh yuh

I need help I’m being timed

Answers

I think it’s may be A, -(square root) X+2,-3 3down and 2 left

what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6

Answers

Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.

Step-by-step explanation:

asap please and thank you

Answers

Answer:

        x = 16 degrees

Step-by-step explanation:

1 and 3 are vertical angles so m∠1 = m∠3

(4x - 2)° = 62°

4x - 2 = 62

4x = 64

x = 16

PLEASE HELP WILL GIVE BRAINLEST

Answers

=√40 = 6.32455 ≈ 6.3

Answer:  B )  6.3

Two numbers are in a ration of 3:7, the larger exceeds the smaller by 12.
What is the larger number?

Answers

7 because that’s just the right answer duhhhhhhh

A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.

Answers

Answer:

The side lengths of the tile are 8 Inches and 10.5 Inches.

Step-by-step explanation:

Perimeter of a parallelogram = 2(a + b)

Let

a = shorter side

b = longer side

b = a + 2.5 inches

The perimeter of each tile is 37 inches

Perimeter of a parallelogram = 2(a + b)

37 = 2{a + (a + 2.5)}

37 = 2{a + a + 2.5}

37 = 2(2a + 2.5)

37 = 4a + 5

37 - 5 = 4a

32 = 4a

Divide both sides by 4

a = 32/4

= 8

a = 8 inches

b = a + 2.5 inches

= 8 + 2.5

= 10.5 inches

b = 10.5 inches

The side lengths of the tile are 8 Inches and 10.5 Inches.

2x -14 = -9 answer for this equation

Answers

Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way

Step-by-step explanation: Move all terms that don't contain  

x

to the right side and solve.

Answer:

x= 2.5

Step-by-step explanation:

Simplifying

2x + -14 = -9

Reorder the terms:

-14 + 2x = -9

Solving

-14 + 2x = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.

-14 + 14 + 2x = -9 + 14

Combine like terms: -14 + 14 = 0

0 + 2x = -9 + 14

2x = -9 + 14

Combine like terms: -9 + 14 = 5

2x = 5

Divide each side by '2'.

x = 2.5

Simplifying

x = 2.5

What is y=6/5x+4/5 perpendicular

Answers

Answer:

y=-6/5x

Step-by-step explanation:

the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?​

Answers

Answer:

ratio 4x:3x

total= 7x parts = 35(given)

x= 35/7 =5

boys = 4x = 20

girls = 3x = 15

The number of boys are more by 20-15 = 5.

Step-by-step explanation:

Answer:

20 boys 20:15

Step-by-step explanation:

helpful??

. The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?

Answers

Answer:im so sorry these people wasted your time hun Answer:

2 : 9

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2: 18/2

2 : 9

there ya go!

pls help will mark brainliest

Answers

Step-by-step explanation:

it is proportional

Answer:

Not poportional.

Step-by-step explanation:

Beacsue the numbers doesn't have a constant rate of change.

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