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
Juli2301 [7.4K]
3 years ago
12

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

quared plus 120 t describes the height of the debris above the​ ground, h, in​ feet, t seconds after the explosion. When will the debris be 56 feet above the​ ground?
Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

You might be interested in
The answer to this problem
telo118 [61]

Answer:

jdiddbhhuduh9ruruuehgruhrhudhheherj

5 0
2 years ago
What is the surface area of this 3-D solid?
Dvinal [7]

Answer:

I think its flat sorry if it's wrong

5 0
3 years ago
a game room floor that is 120 feet by 75 feet. a scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. what ar
lubasha [3.4K]
24 feet by 15 feet

You divide each nukber by 5 bevause that is the given scale factor.
5 0
3 years ago
Question in the image below:
horrorfan [7]

Answer:

x = 5/33 or 0.151515151

Step-by-step explanation:

7(-6x-2) = 8(3x-4)

step 1: simplify the equation.

-42x - 14 = 24x - 4

step 2: isolate the variable (using the balance method).

-42x - 14 + 14 = 24x - 4 + 14

-42x = 24x + 10

-42x - 24x = 24x - 24x + 10

-66x = 10

step 3: solve for x.

x = 10 ÷ -66

x = 5/33

4 0
2 years ago
If x/y= 8 what is the value of 16y/x
mina [271]

Answer:16

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • You can read 45 pages of your new book in 2 hours. How many pages can you read in 3 hours?
    11·2 answers
  • What is the volume of the cone with 27 as the height and 4 as the radius?
    15·1 answer
  • The length of the base of a rectangle prism is 3 feet and its width is 2 feet. The length of the diagonal of the prism is 6 feet
    7·1 answer
  • What is the slope for (3,−1) and (4,7)
    7·2 answers
  • Write the equation of a line through point (-5,1) and perpendicular to 2x - 3y = 6.
    13·1 answer
  • What is the completely factored form of x^4+8x^2-9
    11·2 answers
  • Craig just purchased a new car. He financed $45000 and must pay it back over 5 years with 11% interest.
    13·1 answer
  • What is the answer if you put a link you are getting reported
    7·2 answers
  • State the postulate or theorem you would use to prove each pair of triangles congruent.
    15·1 answer
  • What is
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!