A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect

Answers

Answer 1

Answer:

A quadratic equation for the height of an object is written as:

h(t) = a*t^2 + b*t + c

We can derivate it with respect to the time to get the velocity:

v(t) = 2*a*t + b

We can derivate it with respect to the time to get the acceleration:

a(t) = 2*a

Then:

a = half of the acceleration. (the gravitational acceleration for problems like this)

b = initial vertical velocity.

c = initial height.

In our case we have:

h(t) = -16t^2 + 44t + 3.5

-16 is half of the acceleration, we know that the gravitational acceleration is:

g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.

44 is the initial vertical velocity of the ball  (44ft/s)

3.5 is the initial height. (3.5ft)

Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity


Related Questions

HELPPP
Solve the equation
log (2x-3)=2

Answers

Answer:

2.5 or 5/2

Step-by-step explanation:

2x-3=2

2x=5 (both sides plus 3)

x=5/2 or 2.5(divid by 2 on both sides)

Write a linear equation to represent this

Answers

I think is Y=5x+20
Hope you get it right!
:D

HELP QUICKLY PLEASE!!
What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯?

Enter your answers in the boxes

Answers

Answer:

Did you find the answer? I need help with this too

Step-by-step explanation:

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

30.5

Step-by-step explanation:

cos18=29/x --> reciprocate for simplicity : 1/cos18=x/29 --> solve for x

slope = 2; y-intercept = -1
HELP PLS what's the answer

Answers

Answer:

The question is incomplete but I assume you want to find the equation of a straight line with those details. Well the equation of a straight line is y=mx+c where m is the slope and c is the y-intercept

Therefore y=2x-1 is the equation of the line

Answer:

y=2x-1

Step-by-step explanation:

BRAINLIEST PLSSS

ASAP 30 points and BRAINLIEST!! PLS!

Answers

Answer:

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Step-by-step explanation:

First, let's find the slope using the 2 given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Enter in the points:

[tex]m=\frac{-3--1}{-5-0}[/tex]

Simplify:

[tex]m=\frac{-2}{-5}[/tex]

[tex]m=\frac{2}{5}[/tex]

Now that we have slope we can just use one of the points given. Remember point-slope form:

[tex]y-y1=m(x-x1)[/tex]

I'll use the point (-5,-3) in this case.

So, your solution is

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Hope this helps!

y+1=2/5(x+0) should be it

The cost of fencing a square garden at the rate of Rs.5 per
metre is Rs. 2000. Find the total length of the fence.

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Cost per metre = Rs. 5

Total cost = Rs. 2000

Then total length of the fence = Rs.2000/Rs.5

= 400 metre

Total length of the fence = 400 metre

Clare cycled a total of 6.48 kilometers by making 4 trips to work. How many trips will Clare have to make to cycle a total of 8.1 kilometers?

Answers

Answer:

5 trips

Step-by-step explanation:

6.48 km = 4 trips

1 trip = 6.48km ÷ 4 trips

1.62km = 1trip

8.1 kilometers ÷ 1 trip = 8.1 kilometers ÷ 1.62km

8.1 kilometers = 5 trips

∴ 8.1kilometers covers 5 trips

Can someone help me with this question please ?

Answers

Answer:

16 i think

Step-by-step explanation:

Yeah I think maybe 16.

101.101 correctly written out in words

Answers

Answer:

One hundred one and one hundred one thousandths

Step-by-step explanation:

Answer:

Step-by-step explanation:

basicliy he's saying c

wich is true:)

How do I solve this equation and check the solutions?

Answers

Answer:

The value of x is 10.

Step-by-step explanation:

The steps to do this :

[tex]x - \sqrt{2x + 5} = 5[/tex]

[tex]x - 5 = \sqrt{2x + 5} [/tex]

[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]

[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]

[tex] {x}^{2} - 12x + 20 = 0[/tex]

[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]

[tex]x(x - 2) - 10(x - 2) = 0[/tex]

[tex](x - 2)(x - 10) = 0[/tex]

[tex]x = 2 \: (rejected)[/tex]

[tex]x = 10[/tex]

I AM BEING TIMED HELP!!!
What is one main objective in the study of economics?

recognizing the types of services available to everyone
recognizing the relationship between producers and consumers
recognizing the reasons why consumers supply services
recognizing the difference between producers and consumers

Answers

Answer:

C

Step-by-step explanation:

General admission tickets to the fair cost $5 per person. Ride passes cost an
additional $7.50 per person. Parking costs $16 for the family. The total costs for
ride passes and parking was $103.50. How many people in the family attended
the fair?

Answers

$103.50 - $16 = $87.5
total cost of admission and ride pass per person = $5 + $7.50 = $12.50

no. of people in the family = $87.50/$12.50
= 7

Please help!


Much appreciated if anyone would help x

Answers

A) 1/3
B) 1/9
HOPE THIS HELPS :)

I need help someone please

Answers

Answer: [tex]\frac{6}{2}[/tex]

Step-by-step explanation:

1. Use this [tex]\frac{f(b)-f(a)}{b-a}[/tex] to find the average rate of change

2. Average rate of change = [tex]\frac{f(8)-f(6)}{8-6}[/tex]

3. [tex]f(8) = - 4[/tex] and [tex]f(6) = -10[/tex] (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))

4. Replace -4 to f(8) and -10 to f(6)

5. So it will look like[tex]\frac{-4-(-10)}{8-6}[/tex]

6. Solve [tex]\frac{6}{2}[/tex]

Kevin found his average number of text messages sent over three days using the expression below. Which statement best describes the number of the expression?

Answers

Answer:

option C.

Step-by-step explanation:

well the numerator is three. So I don't see why not.

PLEASE HELP!!
Cindi has $400 in her bank account. Each week she withdraws $15 for spending money. After how many weeks will her bank balance drop below $300?

Answers

I believe it is 27 weeks

Answer:

equation 400-15x. 7 weeks

Step-by-step explanation:

400-15x

Anya walked 7/10 km to the bank and then walked 3/4 km to the flower shop. What is the total distance Anya walked? Show your work. Write your answer as a mixed number.

Answers

Answer:

1 and 9/20

Step-by-step explanation:

add your fractions together 7/10 + 3/4

make them have the same denom 14/20 + 15/20

so its 29/20

to get the mixed fraction, divide 29/20 to get 1.45. The 1 is your whole number. Subtract 20 from 29 to get 9, which is what is remaining, and will go over 20.

the answer is 1 and 9/20

work:

7/10km = 14/20km

3/4km = 15/20km

15/20+14/20=29/20km

29/20 as a mixed number is 1 and 9/20.

i really hate math so please

Answers

Answer:

personally i think c

Step-by-step explanation:

its because for the graph there is 90 and it has a point and when i used a calc i put the points and the a=18 so 90 eould be 18 again this what i think i am not really AMAZING at it but i get some of it for ex the chart equals it only equals a=5

idenify the slope and y-intercept of the function y=-2x+3

Answers

Answer:

The y-interept is 3 and the slope is -2.

Step-by-step explanation:

The y-intercept is always the "b" in y=mx+b

Answer:

Slope:  − 2

y-intercept:  ( 0 , 3 )

Step-by-step explanation:

the typicla size virus is about 0.000008 cm which can be written as 8*10n cm. what is n?

Answers

Answer:

[tex]10^{-6}[/tex]

Step-by-step explanation:

Start with 0000008.0

For each decimal place you move back, subtract the exponent (the n value of [tex]10^n[/tex]) by 1. In this case, we move back 6 places. This makes n = 6, giving us an answer of [tex]10^{-6}[/tex].

Answer: -6

Step-by-step explanation:

Can somebody plz answer both questions! only if u done it before thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERSS:DD

Answers

Answer:

48% is A and since i like quarters more than nickels and dimes its c for 30

Step-by-step explanation: Because I said so.

Answer:

To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.

For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.

3 5/8 to the nearest whole number

Answers

Answer:

4

Step-by-step explanation:

3 and 5/8 is closer to 4 then 3 easy

The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?

A. g(x) = f(x) - 5
B. g(x) = f(x - 5)
C. g(x) = f(x) - 2
D. g(x) = f(x + 2)

Answers

Answer:

A.

Step-by-step explanation:

It just is trust

Please answer quickly

Answers

Answer:

a and c I think if I'm wrong I will try again

Answer:

The first and third option. (I think)

Step-by-step explanation:

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute. Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute. How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital

Answers

Answer:

750 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

1 cent = 0.01

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.

$39.95 + 0.01x

Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.

$9.95 + 0.05x

How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?

This is calculated as:

Beetle cellular = Salamander digital

$39.95 + 0.01x = $9.95 + 0.05x

Collect like terms

$39.95 - $9.95 = 0.05x - 0.01x

$30.00 = 0.04x

x = $30.00/0.04

x = 750 minutes

A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.

given the graph g(x), find g(-6) ​

Answers

Answer:

+2

Step-by-step explanation:

Draw a vertical line through x = -6.  Determiene the corresponding y-value.  It is +2.  This is g(-6).

The value of the function g(x) when x = - 6, g(-6) is 2.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x).

Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.

From the graph, we observe that when x = - 6, y = 2.

So, The value of g(-6) = 2.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ2

An airplane traveled 108 miles in 20 minutes? How long will it take to fly 162 miles?

a
30 min
b
25 min
c
8.1min
d
35 min



omg pls help me im giving like all my points out for this

Answers

Answer:

poopy

Step-by-step explanation:

Tee Hee

Answer:

a, 30 minutes

Step-by-step explanation:

108 divided by 20 is 54

162 divided by 54 is 30

Can someone help me with this geometry proof?

Answers

Answer:

Step-by-step explanation:

IM LEARNING THIS TOO LOL

angle one and angle 2 are congruent because of the corresponding angles theorem

angles 2 and 3 are linear pair so 1 plus 2 equals 180

i believe you can use the transitive property

What is the first step in evaluating (12.9 – 3.1) × 6.2 – 2 + 43

Answers

Answer:

101.76

Step-by-step explanation:

Answer:

(12.9 - 3.1) i'm in middle school so if i can do it you can

Step-by-step explanation:

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