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
WILL GIVE BRAINLIEST ANSWER!!!
quester [9]

Answer:

everyone will have 15 dogs each

Step-by-step explanation:

dogs:

1+2+3+4+5=15

humans:

54+38+3+1+4=100

100x15=1500 <<<how many dogs there are in total

1500%100=15 <<<how many each person will get if u add all the dogs and divide them evenly for each person

3 0
2 years ago
Read 2 more answers
5a + 18 &lt; −27 pre algibra
Grace [21]

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

5 0
2 years ago
Read 2 more answers
Can someone please help me as soon as possible!
Elena-2011 [213]
Ed = 96 but switch the numbers
6 0
3 years ago
In the expression 2a + 5 + a -14 + 3b which ones are the constants​
Finger [1]

Answer:

5

Step-by-step explanation:

Constant= # without variable

5 0
2 years ago
Read 2 more answers
PLEASE LOOK AT PICURE!!! I WILL MARM BRAINIEST TO WHOEVER IS CORRECT!!!
dexar [7]

Answer:

Angle 2 is 36 degrees

Step-by-step explanation:

73 - 37 = 36

3 0
2 years ago
Read 2 more answers
Other questions:
  • Heather has a bag with 9 marbles, 9 tennis balls, 10 apples, and 2 books. What is the ratio of books to tennis balls?
    7·1 answer
  • according to the table what is the probability that the grade of a student chosen at random will be a B or higher 4/5 2/5 1/5 3/
    9·1 answer
  • What is 2100 as a fraction
    10·2 answers
  • Plz help me get the answer ASAP
    12·1 answer
  • Help please!!!! I’ll give brainilest
    5·2 answers
  • Plz help an show work thank u
    8·1 answer
  • The function f(x) = 1(3)x models the number of virus cells present in a sample after x minutes. About how many cells will be pre
    11·1 answer
  • Last question im going to post today. and its kinda a stupid question? but idc lol.
    9·1 answer
  • Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost
    12·2 answers
  • Please help easy geometry!!!!!!!!!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!