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
iren [92.7K]
3 years ago
5

An object is propelled upward from the top of a 300 foot building. The path that the object takes as it falls to the ground can

be modeled by h = 16t^2 + 80t + 800 where t is the time (in seconds) and h is the corresponding height (in feet) of the object. How long does it take the object to hit the ground?

Mathematics
1 answer:
serg [7]3 years ago
8 0

Answer:

As per the statement:

The path that the object takes as it falls to the ground can be modeled by:

h =-16t^2 + 80t + 300

where

h is the height of the objects and

t is the time (in seconds)

At t = 0 , h = 300 ft

When the objects hit the ground, h = 0

then;

-16t^2+80t+300=0

For a quadratic equation: ax^2+bx+c=0         ......[1]

the solution for the equation is given by:

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

On comparing the given equation with [1] we have;  

a = -16 ,b = 80 and c = 300

then;

t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}

t= \frac{-80\pm \sqrt{6400+19200}}{-32}

t= \frac{-80\pm \sqrt{25600}}{-32}  

Simplify:

t = -\frac{5}{2} = -2.5 sec and t = \frac{15}{2} = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

You might be interested in
Find all the values of x where the tangent line is horizontal.<br> 2x^3+36x^2+192x+12
Afina-wow [57]
At x = -4 and -8
Take the derivative of the given equation to find rate of change of the graph.
f'(x) = 6x^2 + 72x + 192
At a horizontal tangent, f'(x) = 0, so set the equation equal to 0 and solve. Eventually you get x = -4 and -8
3 0
3 years ago
Find the sum of the following series
leonid [27]

Answer:

They are in A. P so the sum will be 2380

4 0
2 years ago
Suzanne owns a small business that employs 555 other people. Suzanne makes \$100{,}000$100,000dollar sign, 100, comma, 000 per y
zalisa [80]

Answer:

16

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help me someone with this question
Rom4ik [11]

Answer: a- $12.60

Step-by-step explanation:

4 0
3 years ago
Two 6 sided dice are rolled. what is the probability of rolling a 3 on either of the dice
emmasim [6.3K]
There is a 2 of 6 percent chance that one them might land on three if you add one extra dice it would be 3 of 6 percent chance and so on.

Hope this Helped!

;D
Brainliest??
7 0
3 years ago
Other questions:
  • A rectangular park is 100 yards long and 65 yards wide. Give the length and width of another rectangular park that has the same
    11·1 answer
  • What is another way to write 12.5/100 as a fraction
    11·1 answer
  • What is the range of the function f(x) = x + 5 for the domain {-4, -2, 0, 2, 4}?
    9·1 answer
  • I really need help!
    6·1 answer
  • What is the answer
    12·1 answer
  • What is 49.6 expressed as a decimal
    8·2 answers
  • Does the point (2, 3) lie on the graph of y = 3x - 4? Explain.
    5·1 answer
  • Use the equation f=6g to find the value of f when g=5
    8·2 answers
  • What is the sum of the two polynomials?
    5·1 answer
  • If the lines are parallel with angle a measuring 5x + 8 and angle b measuring 8x - 7, the measure of angle a would be ___ degree
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!