Select the correct answer. A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where is the height, in feet, after t seconds?

Answers

Answer 1

Answer:

ΔS = 1/2gt²

Step-by-step explanation:

Given

Initial height of the ball = 3 feet

Maximum height of the  ball = 403 feet

To get the function that best suits the situation after t seconds, we will use the equation of motion;

ΔS = ut + 1/2gt²

ΔS is the change in height

u is the initial velocity of the body = 0m/s

g is the acceleration due to gravity = 9.81m/s²

t is the time taken for the ball to reach its maximum height.

ΔS = 403-3

ΔS = 400ft

Substituting the given values into the formula;

ΔS = ut + 1/2gt²

400 = 0 + 1/2(9.81)t²

400 = 4.905t²

t² = 400/4.905

t² = 81.55

t = √81.55

t = 9.03secs

The situation that best model the situation is ΔS = ut + 1/2gt²

ΔS = 0 + 1/2gt²

ΔS = 1/2gt²


Related Questions

2. The units of density for a rectan-
gular piece of wood are
a. grams per milliliter.
b. cubic centimeters.
c. kilograms per liter.
d. grams per cubic centimeter.

Answers

Answer:

d. grams per cubic centimeter

Step-by-step explanation:

The unit for density is g/cm^3 because the formula for density is mass divided by volume. The standard unit for mass is grams, and volume is cm^3. So by dividing the two numbers, the unit becomes both units divided.

tablespoon(Tbs.)
divided by 2 =

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Answer:

3 teaspoons

Step-by-step explanation:

Answer:

3 tbs

Step-by-step explanation:

The Commutative and Associative Properties are valid or true in both
addition and multiplication.
A.True
B. False

Answers

Answer:

I think its Yes

Pythagorean Theorem!!! someone pls help tyyy

Answers

Answer:

43.7

Step-by-step explanation:

7[tex]7^{2} +7^{2} =\sqrt{98} \\\sqrt{98}=9.899494937\\ That is the measurement for the dotted line. If we round it like they did in the example it would be 9.90. That is the measurement for all the sides of the square. \\We need the measurement for only 3 sides of the square and the two outer sides of the triangle (7ft)\\7ft + 7ft + 9.90 + 9.90 + 9.90 = 43.7\\\\Joshua added the 7's and they square rooted them for the Hypotenuse.\\Then the perimeter of all sides did not need any square roots.[/tex]

Hilda can run one mile in 7.5 minutes.
Write and solve an equation to
determine how far she can run in 67.5 minutes
minutes.

Answers

9 miles should be the correct answer

Justified” is an option of paragraph formatting in a Word processor. Which of the following contain Justified option?
(1 Point)
Alignment
Orientation
Columns
Borders

Answers

Alignment is the answer to the question

If 6x + 4 = 11x - 21, what is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

11x - 6x = 4 + 21

5x = 25 (÷5)

x = 5

X=5

Explanation: 6x + 4 = 11x - 21
1). Subtract 4 from both sides and you will get 6x = 11x -25.
2). Subtract 11x from both sides and you should get -5x = -25.
3). Divide the -5 with -25 to get x alone and you should get X=5!

Check your work:
6(5) + 4 = 34 & 11(5) - 21 = 34
34=34.

what is the value of 5 in 7,156,489​

Answers

The 5 is on the ten thousand place.

Answer:

The value of 5 is 50,000

Step-by-step explanation:

The standard form of
(6x1)+5x1/1,000+3x1/1,000 is?

Answers

Answer:

I think is NaH x 10°-23

Answer:Na× 10°-12I hope it helped you

what is 4.5x 4.5 im in 6th grade

Answers

Answer:20

Step-by-step explanation:

What is the percent of 40 of 230

Answers

Answer:

17.39

Step-by-step explanation:

40:230*100 =

( 40*100):230 =

4000:230 = 17.39

Answer:

20 % would be ur answer to ur question

Brian plans to spend between $35 and $60 on running shoes.
What is the inequality?

Answers

If it must be between:

35
If it can be equal to these prices:
35<=x<=60
( <= being less than or equal to, the sign with a line underneath)

Hope this helps!!

Which are alternate interior angles?

Answers

Answer:

Angle MNQ and Angle RQN

Step-by-step explanation:

Evaluate the piecewise defined function at the indicated values.
{x² + 4x if x <equal/greater to -1
f(x) = { x if - 1<x< equal/greater to 1
{-1 x > 1
f(-2)=
f(-3/2)=
f(-1) =
f(0) = 0
f(25) =​

Answers

Given:

Consider the piecewise function is

[tex]f(x)=\left \{\begin{matrix}x^2+4x,\text{ if } x\leq -1\\ x, \text{ if }-1<x\leq 1\\-1,\text{ if }x>1\end{Matrix}\right.[/tex]

To find:

The value of the function at indicated values.

Solution:

We know that, [tex]-2,-\dfrac{3}{2},-1[/tex] are less than or equal to -1. So, for these values the function is [tex]f(x)=x^2+4x[/tex].

For x=-2,

[tex]f(-2)=(-2)^2+4(-2)[/tex]

[tex]f(-2)=4-8[/tex]

[tex]f(-2)=-4[/tex]

Similarly,

For [tex]x=-\dfrac{3}{2}[/tex].

[tex]f(-\dfrac{3}{2})=(-\dfrac{3}{2})^2+4(-\dfrac{3}{2})=-\dfrac{15}{4}[/tex]

For [tex]x=-1[/tex].

[tex]f(-1)=(-1)^2+4(-1)=-3[/tex]

We know that, 0 is lies between -1 and 1. So, for this values the function is [tex]f(x)=x[/tex].

For x=0,

[tex]f(0)=0[/tex]

We know that, 25 is greater than 1. So, for this values the function is [tex]f(x)=-1[/tex].

For x=25,

[tex]f(25)=-1[/tex]

Therefore, the required values are, [tex]f(-2)=-4, f(-\dfrac{3}{2})=-\dfrac{15}{4},f(-1)=-3,f(0)=0,f(25)=-1[/tex].

{(2,-1),(-2,4),(2,5),(3,6)}
What’s the domain and range?

Answers

Answer:

Domain(x): -2,2,3

Range(y): -1,4,5,6

(I put them in order numerically)

Step-by-step explanation:

The Domain is all the x values of the points given. It's always the first number of a point.

The range is the y values, it's always the second number given in a ordered pair!

Hope this helps! :)

Paul spent 1/4 of his money on food and another 3/10 of his money on soda. If he had 5 dollars to begin , how much money does he have left?

Answers

1/4 x 5 = 1.25
5-1.25 = 3.75
3/10 x 3.75 = 1.125
3.75-1.125 =

$2.625

SCUBA diving set

Slope:


SCUBA diving set

y-intercept:


SCUBA diving set

Slope intercept form:

Answers

Answer:

Step-by-step explanation:

Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).

Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)

Snorkel, mask, and flippers Slope intercept form: y = 2x + 10

Match the four kinds of slope with the coordinating conditions

- Positive:
- Negative:
- Undefined:
- Zero:
-------------------------------------------------------------------------------------------
- A Horizontal line
- A Vertical line
- As you move from left to right the line was increasing
- As you move from left to right the line was decreasing

Answers

Answer:

Positive: As you move from left to right the line was increasing    /

- Negative: As you move from left to right the line was decreasing    \

- Undefined: A Vertical line    |

- Zero: A Horizontal line    -

Step-by-step explanation:

:)

Add.

(2x3+4x2+1)+(x3−x2−4)



Express the answer in standard form.

Enter your answer in the box.

Answers

Answer:

3x³ + 3x² - 3

Step-by-step explanation:

Step 1: Write expression

(2x³ + 4x² + 1) + (x³ - x² - 4)

Step 2: Combine like terms

3x³ + 3x² - 3

What do u think about these fr?

Answers

Answer:

They are super good!! better than me tbh lol

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

I like them they arent over drawn i like the simplicity and cleaness of the images you managed to do.

On an adventure quest,the hero fights werewolves and vampires in a ratio of 2:5. If he fights 28 werewolves in total, how many vampires does he fight?

Answers

Answer:

70

Step-by-step explanation:

im pretty sure (i did it in my head) if its wrong im sorry :/

70 because you cut down the number by half to 14 and multiply by 5 to get 70.

1/3 - 2/9 find the solution​

Answers

Answer:

1/9

Step-by-step explanation:

1/3 - 2/9

Get a common denominator of 9

1/3 *3/3 = 3/9

3/9 - 2/9

1/9

Why does the range of this function include negative values? What is the significance of the point where the graph crosses the horizontal axis

Answers

you can’t see the function

Answer:

Because the graph does not include any negative values for the range, the range is only nonnegative real numbers. Cubic function f(x)- x^3.

Simplify (−3.5)(−3)(−6.4).

−672
−67.2
67.2
672

Answers

Answer:

-67.2

Step-by-step explanation:

Answer:

−67.2

Step-by-step explanation:

Help with math! a, b, c or d? FAST

Answers

Answer:

d

Step-by-step explanation:

2x+y=9 let x=3 what is y

Answers

Answer:

3

Step-by-step explanation:

Step 1:

2x + y = 9          Equation

Step 2:

2 ( 3 ) + y = 9    Input x

Step 3:

6 + y = 9     Multiply

Step 4:

y = 9 - 6     Subtract 6 on both sides

Answer:

y = 3

Hope This Helps :)

What is the value of y?

2 StartRoot 3 EndRoot units
4 units
4 StartRoot 3 EndRoot units

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i believe it's B on edge! hope this helps!!~ ( ´ ▽ ` )ノ

If Kelly's heart beats an average of 1*10^2 times per minute , about how many times does Kelly's heart beat in a year?(1 year is 525,600 minutes)

Answers

Find out how many times her heart beats in a min then multiply it by 525,600

What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form

Answers

Answer:

[tex]\frac{5}{12}[/tex]m²

Step-by-step explanation:

Given parameters:

   Base  = [tex]\frac{5}{3}[/tex]m

   Height  = [tex]\frac{1}{2}[/tex]m

Unknown:

Area of the triangle = ?

Solution:

The area of a traingle is given as:

   Area  = [tex]\frac{1}{2}[/tex] x base  x height

Insert parameters and solve;

   Area =  [tex]\frac{1}{2}[/tex] x  [tex]\frac{5}{3}[/tex] x  [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{12}[/tex]m²

Answer:

Step-by-step explanation:

5/10

can someone help me solve 1/4 : 2/3 =​

Answers

Answer:

11/12

Step-by-step explanation:

hopefully ":" means add cause i have neve learned what that ment btw happy halloween❤

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