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
Charra [1.4K]
4 years ago
11

A ball is dropped off an office building that is 790 feet tall. Apply the function h(t)=-16t^2, where h(t) is the height of the

ball at the time t, and c is its initial height. Approximately how long did it take the ball to hit the ground
Mathematics
1 answer:
Vadim26 [7]4 years ago
5 0

Answer:

Step-by-step explanation:

This models the parabolic function

h(t)=-16t^2+v_{i}t+h_{i},

where h(t) is the height after the motion occurs, v_{i} is the initial upwards velocity, and h_{i} is the initial height from which the object was launched or dropped.  Because we do not have any upwards velocity when an object is dropped straight down, it is only affected by gravity.  Our function for this situation is

h(t)=-16t^2+790

To find when the object hits the ground, replace the h(t) with a 0, since the height of something when it hits the ground has no height at all.  Factor the quadratic for t, time.

0=-16t^2+790 and

0=-16(t^2-49.375)

By the Zero Product Property, either

-16 = 0 or t^2-49.375=0

Since -16 definitely does not equal 0, then

t^2-49.375=0 and

t^2=49.375

Taking the square root of both sides and only allowing for the principle (positive) root since time will never be negative, then

t=\sqrt{49.375} and

t = 7.03 seconds

You might be interested in
The manager of a night club in boston stated that 95% of the customers are between the ages of 21 and 27 years. if the age of cu
11111nata11111 [884]
95% of a normal distribution lies within ±1.96 standard deviations of the mean. That is, ±3 years represents ±1.96 standard deviations, so ...
.. the standard deviation is 3/1.96 = 1.53 years.
5 0
3 years ago
Classify the polynomial 11x^2-10x+7​
MArishka [77]
It equals 2 I did it
5 0
3 years ago
How to find area of polygon please explain
Nat2105 [25]

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothegm. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothegm = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

5 0
3 years ago
I will be really happy if you help me out! :)
kykrilka [37]

Answer/Step-by-step explanation:

#8. Using the geometric mean theorem formula, h = √xy, where,

h = x

x = 4 and y = 16

Plug in the values

x = √(4*16)

x = 8

#9. Using the geometric mean formula, h = √xy, where,

h = y

x = 5 and y = 8

Plug in the values into the formula:

y = √(5*8)

y = √40

y = 6.3 (nearest tenth)

#10. Using the geometric mean formula, h = √xy, where,

h = 18

x = 12 and y = y = ???

Plug in the values into the formula:

18 = √(12*y)

Square both sides

18² = 12y

324 = 12y

Divide both sides by 12

27 = y

y = 27

7 0
3 years ago
Seven more than the product of five and a number is 45.
maxonik [38]

Answer:

7+(5n)=45

n= 7.6

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Solve and graph the inequality:<br> 15-t 19
    7·1 answer
  • What is another word for coinsurande
    8·2 answers
  • You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi
    15·1 answer
  • Please h e l p answer this??
    6·1 answer
  • Juan has 5/8 pound of beef. He wants to make burgers using the meat. If the meat and each Burger weighs 1/8 lb how many burgers
    13·2 answers
  • (2,-8), (-8,3) Can anyone answer It has to do with something about distance between two points.
    9·1 answer
  • What are the 3 consecutive even numbers that equal 132
    8·1 answer
  • What is JK? In the picture above
    15·2 answers
  • What is Algebra really about and what is it the study of? OSCARFLORES please respond.
    15·2 answers
  • HELP QUICK!!!! NOW!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!