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
belka [17]
4 years ago
7

A diver is standing on a platform 24ft. Above the pool. He jumps from the platform with an initial upward velocity of 8ft/s. Use

the formula h(t)=-16^2+vt+s, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How long will it take for him to hit the water?
Mathematics
1 answer:
Black_prince [1.1K]4 years ago
4 0

Answer:

He will take 1.5 seconds to hit the water

Step-by-step explanation:

* The formula h(t) = -16t² + vt + s

- h is the his height above the water

- v is his initial up-word velocity

- s is his starting height

- t is the time

* When he hits the water h(t) = 0

- because h is his height above the water

∴ -16t² + vt + s = 0

∵ v = 8 ft/s

∵ s = 24 ft

∴ -16t² + 8t + 24 = 0 ⇒ × (-1)

∴ 16t² - 8t - 24 = 0 ⇒ ÷ 8

∴ 2t² - t - 3 = 0 ⇒ by using factorization

∴ (2t - 3)(t + 1) = 0

∴ 2t - 3 = 0 ⇒ 2t = 3 ⇒ t = 3/2 = 1.5 sec

∴ t + 1 = 0 ⇒ t = -1 ⇒ rejected the time is positive value

* He will take 1.5 seconds to hit the water

You might be interested in
In 2015, the population of a small town in Florida is 95. If he population increases 15% every year, approximately what will the
vova2212 [387]

The population is increasing every year. so we use exponential growth function

y=a(1+r)^x

Where 'a' is the initial population

r is the rate of increase

x is the years

y is the final population

In 2015, the population of a small town in Florida is 95

Initial population a= 95

r= 15%= 0.15

x = 2023 - 2015 = 8 years

Plug in all the values and find out y

y=a(1+r)^x

y=95(1+0.15)^8

y = 290.607

The population in 2023 is 291

8 0
4 years ago
You park in a parking garage 3 floors below ground level. Then you get in an elevator and go up 9 floors. How many floors are yo
SpyIntel [72]

Answer: (B) 6 floors

Step-by-step explanation: Use the equation -3 + 9 to get the amount of floors above ground level.

-3 + 9 = 6

6 floors.

3 0
3 years ago
Read 2 more answers
PLEASE HELP
Nookie1986 [14]

For the square with side length n, the diagonal measures:

d = \sqrt{2} *n

<h3>How to get the length of the diagonal?</h3>

The sidelength of the square is n, and we want to get the length of the diagonal d.

Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.

Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;

d^2 = n^2 + n^2\\\\d^2 = 2n^2\\\\d = \sqrt{2n^2} \\\\d = \sqrt{2}*n

That is the length of the diagonal.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

6 0
2 years ago
What value of x makes this equation true? x/3 −6=10
Setler [38]

Answer:

48

Step-by-step explanation:

x/3 - 6 = 10

      +6   +6

x/3=16

16*3=48

5 0
4 years ago
Ava borrowed some money from her friend in order to help buy a new video game system. Ava agreed to pay back her friend $2 per w
nydimaria [60]

We know that Ava is paying $2 dollars per week so if L is the money that she owes and t is the number of weeks, and I is the initial debt so we can write an equation like:

L=I-2t

Now we can replace the info we have to find the value of I so:

10=I-2(5)

and we solve for I

\begin{gathered} I=10+10 \\ I=20 \end{gathered}

So the final equation will be:

L=20-2t

8 0
1 year ago
Other questions:
  • Gap sells jeans that cost $21.00 for a selling price of $29.95. The percent of markup based on cost is:
    13·1 answer
  • The perimeter of a rectangular ocean-front. lot is 190m. the width is one fourth of the length.
    6·1 answer
  • WHO IS BORED quarantine got me a lot of homework and a crazy mom
    9·2 answers
  • PLEASE ANSWER RIGHT FOR BRAINLIEST. AND NO THIS IS NOT A TEST ITS A PRACTICE.
    6·1 answer
  • WHAT THREE EQUAL NUMBERS COULD YOU ADD TO GET 180
    5·2 answers
  • A rectangle has width w inches and height h inches, where the width is twice the height. Both w and h are functions of time t, m
    8·1 answer
  • Andre took 6 kicks and made 4 goals: 4 out of six. Tom wants to take more than 20 kicks and make a equivalent fraction to Andre.
    9·1 answer
  • Will give brainlest answer if correct
    12·1 answer
  • This is Adele's solution for the equation x^2 + 8x - 9 = 0 Step 1 x^2 + 8x - 9 = 0 Step 2 x^2 + 8x = 9 Step 3 ( x + 4 )^2 = 25 S
    11·2 answers
  • Help with this math question
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!