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
MAXImum [283]
2 years ago
14

A ball is launched from a 682.276 meter tall platform. the equation for the ball's height h at time t seconds after launch is h(

t) = -4.9t^2 + 682.276, where h is in meters. what is the maximum height the ball achieves before landing?
Mathematics
1 answer:
blagie [28]2 years ago
4 0

The maximum height the ball achieves before landing is 682.276 meters at t = 0.

<h3>What are maxima and minima?</h3>

Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

h(t) = -4.9t² + 682.276

Which represents the ball's height h at time t seconds.

To find the maximum height first find the first derivative of the function and equate it to zero

h'(t) = -9.8t = 0

t = 0

Find second derivative:

h''(t) = -9.8

At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.

Maximum height at t = 0:

h(0) = 682.276 meters

Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.

Learn more about the maxima and minima here:

brainly.com/question/6422517

#SPJ1

You might be interested in
What is the range of the function represented by these ordered pairs?
GrogVix [38]

Answer:

  • {-1, 0, 1, 7}

Step-by-step explanation:

<u>Set of ordered pairs</u>

  • {(–2, 1), (0, 0), (3, –1), (–1, 7), (5, 7)}

<u>Range of the function is the second numbers of the pairs:</u>

  • 1, 0, - 1, 7, 7

<u>Putting them in set notation in ascending order and ignoring duplicates:</u>

  • {-1, 0, 1, 7}

8 0
3 years ago
Read 2 more answers
The diagram shows two shapes A and B. Prove that both of them have equal perimeter.​
Hatshy [7]

Answer:

see explanation

Step-by-step explanation:

Calculate the perimeters by summing the measures of the sides.

Left figure ( starting with base and summing clockwise )

x + 5 + (x - 6) + (y - 5) + 6 + y ( brackets are the measure of the indents )

= x + 5 + x - 6 + y - 5 + 6 + y

= 2x + 2y

Right figure ( starting with base and summing clockwise )

x + 2 + (x - 3) + (y - 2) + 3 + y

= x + 2 + x - 3 + y - 2 + 3 + y

= 2x + 2y

Both figures have perimeters of 2x + 2y cm

4 0
3 years ago
Which radical expression, when simplified, equals -8?
Doss [256]

Answer:

Where are the radical expressions?

Step-by-step explanation:

6 0
3 years ago
2 • (3 • 7) and (2 • 3) • 7 = ?
shusha [124]

Answer:

First one is 42 and the second one is 48.

Step-by-step explanation:

Start with parentheses. I'll use the first one as an example. 3 x 7 is 21. Now that the parentheses are done, multiply it by whatever's left. 21 x 2, that's 42. For the other one, 2 x 3 is 6, x 7, is 48. Have a good day :)

8 0
3 years ago
Read 2 more answers
10 qt into gallons and quarts​
Inga [223]

Answer:

qt is quarts so it would be 10 quarts and 2.5 gallons is 10 quarts

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Other questions:
  • How about this one. can anyone help
    11·1 answer
  • The picture below depicts a mode of <br> A) gene<br> B) h20<br> C) DNA<br> D) naci
    14·1 answer
  • The function f is defined by
    7·2 answers
  • Please Help!! Due by midnight!! I really need help anyone!
    11·1 answer
  • 8/15 64/? What would the value of the ? Be?
    15·1 answer
  • Can someone please help PLEASE ​
    11·1 answer
  • The radius of a semicircle is 4 millimeters. What is the semicircle's perimeter?
    13·1 answer
  • Use the diagram to find the measure of the angle<br> Pleaseee!!!!!
    8·1 answer
  • Help me with 2a and 2b, please<br> step by step, please
    15·2 answers
  • Carol Singer had a previous balance of $557.83 in her checking account. She
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!