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
elena55 [62]
4 years ago
8

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

h = −16t2 + 36t + 5. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
Mathematics
1 answer:
elixir [45]4 years ago
7 0
This can be solved in two ways: With heavy tools or with just algebra. 
What is your level? Have you studied calculus? 

With pure algebra: 
We need to find the maximum of the function <span>h = −16t^2 + 36t + 5
Lets take out -1 for simplicity: 
</span><span>h = −(16t2 - 36t - 5) 
For now lets just work with this: </span>16t^2 - 36t - 5
16t^2=(4t)^2 
(4t-x)^2= 16t^2-2*4xt+x^2
we have -36t so x should be 4.5 as 2*4*4.5=36

Lets see what we have now:
16t^2 - 36t - 5= (4t-4.5)^2 is this true? No but close
(4t-4.5)^2= 16t^2- 2*4*4.5t +4.5^2= 16t^2-36t+20.25

16t^2 - 36t - 5   and 16t^2-36t+20.25 nearl the same just take away 25.25 from the right hand side

Getting long, just stay with me: 
16t^2 - 36t - 5= (4t-4.5)^2 - 25.25

h= -{(4t-4.5)^2 -25.25}
h=-(4t-4.5)^2 + 25.25

We want to find the maximum of this function. -(4t-4.5)^2 this bit is always negative or 0, so it maximum is when it is 0. Solve: 4t-4.5=0
t=1,125
You might be interested in
Which is the correct label for the angle? (4 points)
almond37 [142]

Answer:

where is the angle

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many ways an you arrange 4 books on a shelf if you choose from a stack of 30 books?
Neko [114]
Alot'             
 ghffghgfhgfhgfhgf                                             
3 0
3 years ago
24x-9 solve<br> A 3(8x - 9)<br> B 6(4x - 9)
Hitman42 [59]
24 x -9 or 24x - 9?
then I will answer :))
8 0
3 years ago
I really need help on this, how do you get 20 as a denominator and 19 as a numerator in the end answer? Pls help
valentina_108 [34]

Answer:

ADD them

Step-by-step explanation:

11 1/5+ 5 1/4 is 19/20

If you were subtracting the fractions your answer would be different (look at attachment)

7 0
3 years ago
Read 2 more answers
The normal water level in the river is 0. Now it is 2 feet below normal.
Mademuasel [1]

The question can't be answered with the information given.

First of all, we don't know how fast the rain is falling ... how many inches
per hour.

But even of we knew that, that would only tell us how much water would
pile up in our yard or on our street.  You're talking about a river, and
that's a whole different ball game. 

The rain that falls right here is going to flow down the river to somewhere
else.  But the rain that falls up-river from us is going to flow down to where
we are, and the river is going to rise.  The amount it rises depends on . . .

-- how fast the rain is falling,
-- how much area it's falling on,
-- how much forest there is in that area and how many houses and
         parking lots where the ground can't soak up the water and hold it,
-- and also on how wide the river is and how fast the water can flow through it. 


6 0
3 years ago
Read 2 more answers
Other questions:
  • Eric created a rectangular patio using one foot square paving stones which are sold in batches by the dozen. The patio measures
    8·1 answer
  • Compare the numbers 5.0and 0.5 how many times 0.5 is 5
    15·1 answer
  • Solve the inequality. Graph the solution
    15·1 answer
  • in a class of 25 students, 18 have brown eyes. if two students are chosen at random, what is the probability that they both have
    9·1 answer
  • 1.
    5·1 answer
  • A jar contains 100 tickets for a drawing. Among those tickets are 7 winning tickets. What are the odds in favor of winning?
    11·2 answers
  • Who ever is right gets points 10 POINTS
    14·2 answers
  • When is the magnetic field the strongest?
    7·2 answers
  • Landon welded three pieces of metal together to form a triangle with side lengths that measure 8 inches, 9 inches and 17 inches.
    7·1 answer
  • BRAINLIEST PLZ ANSWER! IM DESPRATE ;(
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!