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
maksim [4K]
3 years ago
5

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the

time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground
Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

Answer:

  • t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

<u>1) Explanation of the model:</u>

  • Given: h(t) = -16t² + 48t

  • This is a quadratic function, so the height is modeled by a patabola.

  • This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

<u>2) Axis of symmetry:</u>

  • The axis of symmetry of a parabola is the vertical line that passes through the vertex.

  • In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

  • In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of  1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

You might be interested in
A resturant is making a large amount of slad dressing the recipe uses 15 ouncesof vineger and 54 ounces of oil what is the ratio
Sveta_85 [38]
The ratio to this problem will have to be 15 to 54
5 0
3 years ago
A video store charges
Juli2301 [7.4K]

Answer:

a. 10 + 2.50x

b. 60

c. 100

Step-by-step explanation:

a. 10 + 2.50x

b. 10 + 2.50(20)

= 10 + 50

= 60

c. 260 = 10 + 2.50x

250 = 2.50x

250/2.50 = x

x = 100

8 0
2 years ago
70% of the 40 members of the club voted. how many voted ?
REY [17]

Answer:

28 members up in that club have voted.

6 0
3 years ago
Read 2 more answers
Q2. Do as directed(You can solve on a piece of paper and send picture in assignment) (4)
zepelin [54]

Step-by-step explanation:

true equation when x is replaced by 2, and is a false ... is written in terms of P, R, and T.” In some cases, before using a formula it may be ... (2) a number line graph, or (3) interval notation.

8 0
2 years ago
Plz help ❤️ 2 questions worth 13 points! Thanks!! :)))
bazaltina [42]

Question 1 might be B. 0.3

Question 2 might be D.TW, TM, CW, CM, HW, HM

I'm not 100% sure though

8 0
3 years ago
Other questions:
  • -----------------&gt; 10x - 3 - 2x = 4
    15·2 answers
  • D. 2x2+3x-x2+y+y-(x2+2y)=3
    7·1 answer
  • Need help with the blanks
    6·1 answer
  • If f (x)=3x, g(x)=x-3, and h(x)= square root of x, find (fogoh)(25)
    10·1 answer
  • What is Expression for five less than the product of ten and five
    13·2 answers
  • The total linear momentum of a truck of mass 5000 kg that is
    8·1 answer
  • What is 2 of 7 metres?
    15·1 answer
  • 2x - 3<br> L<br> M<br> x + 4<br> X =<br> ?
    7·1 answer
  • A credit card company charges 22% interest fee on any charges not paid at the end of the month.. If the bill totals $450 for thi
    6·1 answer
  • I have a question if anybody answers the reward is brainlist <br>Whats 0÷0 ​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!