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
nexus9112 [7]
3 years ago
12

Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o

f the ball above the ground and represents the time in seconds. The maximum value achieved by the function is represented by the vertex. Use factoring to answer the following: How many seconds does it take the ball to reach its highest point
Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

You might be interested in
,mmnj3gohb4yvgbuh4rbihb3rvhbeffhobvouwebohbewovjdkcbhoebfvhubefhvbhuewfbviohbefwovbehbvhebfphbpvibepivb4uhbvuohebfvhubefubvuhrb4
RSB [31]

Answer:

jdkskdjdjfnfnekeoeodnfnfnn;#>#[<:<:÷_9:÷8÷8_:>^:#<:8÷^8<#9<^g9su9ugsvy9e9uebu93vy838y3vy038j3b7496g4b79468g4bu940bev9urbd0ubdb0iuv0d0ibdv0ud9vy3 yv83 8y38 y y88_:-;0<#9_%;3636:04:9649660:3:_939_:$<$:9<#0;#_9^#:9<

7 0
3 years ago
Read 2 more answers
Who will win, maddy or cassie?
Nostrana [21]

Answer:

ME

Step-by-step explanation:

ME BC IMA GOD!

7 0
2 years ago
Which of the following describes the graph below
Law Incorporation [45]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
The radius of a circle is 14cm. Find the radius of the circle whose area is double of the area of circle. ​
zepelin [54]

Answer:

  • 14√2 cm

Step-by-step explanation:

<u>Area of circle equation:</u>

  • A = πr²

Let the radius of bigger circle is x.

<u>We have:</u>

  • π(14²)*2 = πx²

<u>Solve for x:</u>

  • x² = 2(14²)
  • x = √2(14²)
  • x = 14√2 cm
8 0
2 years ago
Read 2 more answers
a highway is to be built between two towns, one of which lies 48.6 km south and 60.3 km west of the othe
Katena32 [7]

Answer:

whats the rest of the question or what's the available answers

8 0
1 year ago
Other questions:
  • A sculpture of a clothespin is 20 feet high. A normal clothespin of this shape is five inches high. Using this scale, how many f
    5·2 answers
  • Keela can read 2/7 of a book in 3/4 of an hour. How long will it take her to read one full book
    14·1 answer
  • A model rocket is launched from the ground with an initial velocity of 120 feet per second. The height of an object h, in feet,
    13·2 answers
  • What is f if 7 = f(-5)?
    11·1 answer
  • Plz help asap this is due in one hour
    9·2 answers
  • What is the solution to the equation x-16=-8
    14·2 answers
  • I need helppp!!!!!!!
    14·2 answers
  • What two numbers add up to 18 and multiply to 80
    9·1 answer
  • 3. What number is 35% of 20?
    6·1 answer
  • HELPP FIRST ANSWER IS BRAINLIEST SHOW WORK PLEASE!!!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!