Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of 1.5 ft/s. When Graham’s arms are 18 ft above the ground, Hunter, who is standing directly underneath Graham, throws Graham a ball as the cable continues to lift him higher. Hunter throws the ball from a position 5 ft above the ground with an initial velocity of 24 ft/s. Which system of equations can be used to model this situation?A) h=18+1.5t
h=5+24t-16t^2

B) h=18+1.5t
h=5+24t+16t^2

C) h=18+1.5t
h=5+24t

D) h=18t+1.5t-16t^2
h=5+24t-16t^2

Answers

Answer 1

Answer:

Answer: Hello there!

this type of equations in one dimension (when all the factors are constants) are written as:

h = initial position + initial velocity*t + (acceleration/2)*t^2

First, let's describe the hunter's equation:

We know that Graham moves with a velocity of 1.5 ft/s, and when he is 18 ft above the ground, Hunter throws the ball, and because Graham is pulled with a cable, he is not affected by gravity.

If we define t= 0 when Graham is 18 ft above the ground, the equation for Graham height (in feet) is:

h = 18 + 1.5t

where t in seconds.

Now, the equation for the ball:

We know that at t= 0, the ball is thrown from an initial distance of 5ft, with an initial velocity of 24ft/s and is affected by gravity acceleration g, where g is equal to: 32.2 ft/s (notice that the gravity pulls the ball downwards, so it will have a negative sign)

the equation for the ball is:

h = 5 + 24t - (32.2/2)t^2 = 5 + 24t - 16.1t^2

So the system is:

h = 18 + 1.5t

h = 5 +24t - 16.1t^2

so the right answer is A

Answer 2

Answer:

Answer:

Step-by-step explanation:

EDGE 2020

Related Questions

For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).
Adding which terms to 3x2y would result in a monomial? Check all that apply.3xy–12x2y2x2y27xy2–10x24x2y3x3
Im stuck can you help me with step by step explanation (you don't have to do all areas and the total area - just some areas so I get an understanding - but if you can do all that would be amazing)
Why are circles so important to constructions?
Using completing the square to solve for x in the equation (x-12)(x+4)=9

If the product of 6 and an integer (n) increased by 13, the result is -14 what is the value of n?

Answers

-33, I found the answer by adding 6 with 13...
6+13=19
then I added 19+14=33
Then you know that it has to be a negative so...
-33 is the answer
Hope it helped :)

Final answer:

The value of the integer 'n' in the given equation 6n + 13 = -14 is -4.5

Explanation:

The problem seeks to determine an integer 'n' such that the product of 6 and 'n,' increased by 13, equals -14. This can be represented by the equation 6n + 13 = -14. To solve for 'n,' we begin by isolating it. First, we subtract 13 from both sides of the equation, resulting in 6n = -27. Then, we divide both sides by 6 to determine 'n.' Consequently, the value of 'n' is found to be -27/6, which simplifies to -4.5. However, it's worth noting that 'n' must be an integer, and -4.5 is not an integer. Therefore, there may be an issue with the problem statement or solution.

Learn more about Algebra here:

brainly.com/question/32436021

#SPJ11

What is the range of the function on the graph?O all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to 2

Answers

Answer:

4th Option: All real numbers greater than or equal to 2.

Step-by-step explanation:

Range is the set of y-values that can be outputted by function f(x).

We see here our range spans from 2 to infinity. Since 2 is a closed dot, we can include it in our range. Therefore our answer is All real numbers that are greater than or equal to 2.

[2, ∞)

Answer:all real numbers greater than or Equal to 2

Step-by-step explanation:

During the basketball game, Mika makes 3 baskets worth 2 points each, 2 basket worth 3 point each, and 2 free throws worth 1 point.Write an equation to represent how many points Mika scores

Answers

Answer:

3x2 + 2x3 + 2x1 =14

Step-by-step explanation:

3x2 = 6 +

2x3 = 6 +

2x1 = 2 =

Answer:

3x2 + 2x3 + 2x1 =14

Step-by-step explanation:

3x2 = 6 +

2x3 = 6 +

2x1 = 2 =

So, I really need help with functional notation...If anyone could help me solve these problems, I'd be extremely grateful!!Given the function G ( x ) =sqrt 2x-1 , find the value G (1), G(0), G(5), G(-4).
Given the function F ( x ) = x^2 - 3 x + 1, find the value F (-3), F(0), F(1).
Given the function H ( x ) = 3 x - 1, find the value H (2).

Answers

$g(x)=√(2x-1)$
$g(1)=√(2(1)-1)=√(2-1)=√(1)=1$
$g(0)=√(2(0)-1)=√(0-1)=√(-1)=i$
$g(5)=√(2(5)-1)=√(10-1)=√(9)=3$
$g(-4)=√(2(-4)-1)=√(-8-1)=√(-7)=i√(7)$

$f(x)=x^(2)-3x+1$
$f(-3)=-3^(2)-3(-3)+1=9-(-9)+1=19$
$f(0)=0^(2)-3(0)+1=1$
$f(1)=1^(2)-3(1)+1=-1$

$h(x)=3x-1$
$h(2)=3(2)-1=5$

Rebecca voluntarily decides to buy a dress that Hillary has for sale; they agree on a price of $20. Which of the following best describes who gains and who loses from the transaction?

Answers

Answer:

The question is incomplete because the options are not stated. But the right option is;

Both parties expect to gain from the transaction.

Can someone help me plz

Answers

x=12.9 rounded
Explanation: 30/7=x/3
90=7x
90/7=12.85...
X=12.9 when rounded to nearest tenth

Other Questions

What multiplies to 3969 and adds to 126. Please help. I tried 49 and 81 but that did not work.

Can someone please explain each step in solving this?

when 15 is subtracted from the measure of an angle, the result is the measure of a right angle. what is the measure of the original angle?

What's X?Thank youuu