1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
koban [17]
3 years ago
12

3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of 20 feet per second. The height h in

feet of the ball is given by h= –16t + 20t +6,
where t is the time elapsed in seconds. How long will it take the ball to hit the
ground if no other players touch it? State the method you used to solve this
quadratic equation and why you chose that method.
Mathematics
1 answer:
kherson [118]3 years ago
6 0

Answer:

Part A

1.5 seconds

Part B

By substitution and factorization because h = 0 at ground level

Step-by-step explanation:

Part A

The height from which the soccer player heads the ball, h = 6 feet

The initial velocity of the ball, v = 20 ft./s

The height of the ball in feet, h = -16·t² + 20·t + 6

From the given equation of the ball, we have;

At the initial height, t = 0, from the given equation, h = 6

At the  ground level,  the height, h = 0, therefore, we get;

0 = -16·t² + 20·t + 6

Factorizing using a graphing calculator gives;

0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)

∴ (2·t -3)·(4·t + 1) = 0

t = 1.5 or t = -1/4 = -0.25

Therefore;

The time it takes the ball to hit the ground, t = 1.5 seconds.

Part B

The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.

You might be interested in
Is 10.2 greater or lesser than 10
insens350 [35]
Its is greater, your welcome xoxo savi eden
3 0
3 years ago
Read 2 more answers
Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every q
mojhsa [17]

Answer:

The price of the house is $ 853,735.05.

Step-by-step explanation:

Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:

300,000 + (15,000 x 12 x 8) = X

300,000 + (180,000 x 8) = X

300,000 + 1,440,000 = X

1,740,000 = X

X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000

X x (1 + 0.0225) ^ 32 = 1,740,000

X x 1.0225 ^ 32 = 1,740,000

X x 2.0381030257737 = 1,740,000

X = 1,740,000 / 2.03810

X = 853,735.05

Therefore, the price of the house is $ 853,735.05.

5 0
3 years ago
The circular bases of the traditional teepees of the Sioux and Cheyenne tribes have a diameter of about 15 ft. What is the area
LenaWriter [7]

if the diameter is 15, its radius is half that, or 7.5


\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=7.5\end{cases}\implies A=\pi 7.5^2\implies A=56.25\pi \\\\\\A\approx 176.71459\implies A = \stackrel{\textit{rounded up}}{177}

8 0
3 years ago
Read 2 more answers
Question
Kaylis [27]

Answer:

55w+145

Step-by-step explanation:

10w+120+45w+25 = 55w+145

4 0
2 years ago
Whats 27h divided by 3h in standard form
stira [4]

27h / 3h  =  (9 x3h) / (1x3h)  =<em>  9 </em><span>  </span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • which of the following represents the equation of the line with an x- intercept of 6 that passes through the point (4,4)?
    5·1 answer
  • What is the standard form polynomial that represents this product? (-2m^3 + 3m^2 - m)(4m^2 + m - 5)
    7·2 answers
  • If x = 3, what value of y makes the following equation true? 8x - 3y = 12
    13·2 answers
  • Eight less than the product of 7 and a number is 3. Use the variable w for the unknown number
    11·2 answers
  • A buyer anticipates a house payment of $1,000 per month, with monthly homeowner association fees of $150. The buyer also has a c
    13·1 answer
  • 7 times a number is at least 12 more than three times the number
    10·1 answer
  • Ben and Carmella want to go to a basketball game. Carmella proposes they use a bag of 90 lettered tiles to decide who will pay f
    7·1 answer
  • Evaluate the expression: 103​
    6·1 answer
  • Jeremiah scored 28 points in yesterday's
    10·2 answers
  • Here is my question.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!