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
aleksley [76]
3 years ago
12

After t seconds a ball tossed In the air from the ground level reaches a height and of h feet given by the function h(t)=144t-16

t^2
1) When will the ball reach the maximum height?
Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Answer:

Check the explantion

Step-by-step explanation:

H(t) represent the height of the ball after t seconds.

1)

In order to figure the maximum height of the ball we must minupulate this equation into a form where we can easily find the maximum height.

We can also see this parabola will be downward concaved because it has a negative coefficent for the t^2 term.

a) Let's Manipulate!

Vertex form is a form where we can easily tell the maximum and minimum points. To get in into Vertex form we just need to complete the sqaure.

Lets reanrage the terms

h(t)= -16t^2+144t

Undo the distrubitive propety

h(t)= -16(t^2-9t+20.25)+324

Add and subtract 324.

h(t) = -16(t-4.5)^2+324

COmplete the square.

b) Almost done!

We can now see that the stuff with the brackets is always positive/zero because any real number sqaured is a positive/zero. But than we multiply the positive stuff by a negative number (-16) so its now all negative.

The only exception is when its zero.

And off course if we add 324 to zero its always going to be greater than 324 + a negative number. To get the first term to be zero we can have t = 4.5.

c) Proove it!

h(4.5) = -16(4.5-4.5)^2+324

=324

d) Double Check by graphing!

(Its a attach screenshote by the way)

e) Answer:

The ball will reach its maximum height after 4.5 seconds.

Hoped this helped!,

JoeLouis2

You might be interested in
If the function f(x)=-1/2x-7 were graphed, which of the following is true? hurry I have 10 minutes
jeka94
WE NEED ANSWER CHOICES 
4 0
2 years ago
IF THREE DIAGONALS ARE DRAWN INSIDE A HEXAGON WITH EACH ONE PASSING THROUGH THE CENTER POINT OF THE HEXAGON, HOW MANY TRIANGLES
frosja888 [35]

Answer: 6 triangles

Step-by-step explanation:

hope this helps :)

3 0
1 year ago
What dimensions of the box are required to fit the candle? 5 cm by 6 cm by 18 cm 7 cm by 6 cm by 18 cm 5 cm by 3 cm by 18 cm 7 c
ella [17]

Answer:

7cm.by6cm sana makatulong

4 0
2 years ago
Read 2 more answers
Rose picked 18 tulips and 20 lilies.She divided the flowers into groups so that the same number of tulips and lilies were in eac
RSB [31]

Anwser: 18=9 groups  and 20= 10 groups

5 0
3 years ago
Read 2 more answers
Identify the value of x and the length of each secant segment.
uranmaximum [27]

Answer:

x=7; NL=12; NP+20

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the relationship of the 6's in the number 660,420?
    9·1 answer
  • What is 7,248,193,675 in nearest billion
    15·1 answer
  • (02.06) The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you de
    11·1 answer
  • Plz help I need by tonight
    10·1 answer
  • A balanced coin is tossed three times. Let Y equal the number of heads observed.
    10·1 answer
  • During his first three months with the Houston Astros, Yordan Álvarez's batting average was represented by three hundred sevente
    12·1 answer
  • Help! I’ll mark brainlest :) asap
    8·1 answer
  • What does (-3+ -2+ 5)2 equal to
    5·2 answers
  • Erin says the first step is to set Latex: 2x+7
    9·1 answer
  • John, Sally and Jane form a partnership. The partnership earns a $70,000 profit. Partners share profits by previous year’s capit
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!