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
nlexa [21]
4 years ago
9

The function relating the height of an object off the ground to the time spent falling is a quadratic relationship. Travis drops

a tennis ball from the top of an office building 90 meters tall. Three seconds later, the ball lands on the ground. After 2 seconds, how far is the ball off the ground?
30 meters
40 meters
50 meters
60 meters ​
Mathematics
2 answers:
marysya [2.9K]4 years ago
6 0

Answer:

40 meters

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 9.81 m/s²

s=ut+\frac{1}{2}at^2\\\Rightarrow u=\frac{s-\frac{1}{2}at^2}{t}\\\Rightarrow u=\frac{90-\frac{1}{2}\times 9.81\times 3^2}{3}\\\Rightarrow u=15.285\ m/s

u = 15.285 m/s

s=ut+\frac{1}{2}at^2\\\Rightarrow s=15.285\times 2+\frac{1}{2}\times 9.81\times 2^2\\\Rightarrow s=50.19\ m

The ball has fallen 50.19 m from the top of the building.

So, the ball is 90-50.19 = 39.81 = 40 meters off the ground

kykrilka [37]4 years ago
3 0

Answer:

A. 30 meters

Step-by-step explanation:

Let's find the answer.

The problem established a quadratic relationship between height (h) and time (t), then we can establish:

h(t)=K*t where 'K' is a coefficient.

Because an experiment was done, we can find 'K' as follows:

h(t)=K*t

90meters=K*(3seconds)

90meters/3seconds=K

30m/s=K

Now we can solve the problem, so for 2 seconds:

h(t)=K*t

h(t)=(30m/s)*(2s)

h(t)=60m

But notice that the obtained 60 meters are the distance traveled in 2 seconds from the top the building to the ground. So 'how far from the ground' can be calculated as:

(far from the ground) = (total building height) - (distance traveled in 2s)

(far from the ground) = 90m - 60m = 30m

In conclusion, after 2 seconds, the ball is 30 meters far from the ground. The answer in then A. 30 meters.

You might be interested in
Rewrite the fraction 1/4<br><br> as a division expression with the same numbers.
s344n2d4d5 [400]

Answer:

4 divided by 1.

Step-by-step explanation:

im pretty sure thats right but correct me if im wrong please, and have a great day <3

4 0
3 years ago
The ratio of the area between a small square of land and a large squareof land is 3: 7. Given that the total area of the two squ
lakkis [162]

Given:

The ratio of the area between a small square of land and a large square

of land is 3: 7.

Total area of the two squares of land (in sq. meter) is 4000.

Required:

The area of each square of land.

Answer:

We have the ratio of the area between a small square of land and a large square of land is 3: 7.

Let

x^

be the area of the square of land.

Then their ratio is given by,

3x^:7x^

Also given that the total area of the two squares of land (in sq.meter) is

4,000.

The area of

Therefore,

\begin{gathered} 3x^+7x^=4000 \\ \Rightarrow10x^=4000 \\ \Rightarrow x^=400 \\  \end{gathered}

Therefore,the area of small square (in sq. meter) is,

3x=3(400)=1200

and the area of large square (in sq. meter) is,

7x=7(400)=2800

Final Answer:

The area of small and large square respectively (in sq. meter) is,1200 and 2800.

7 0
1 year ago
PLEASE HELP ME AND SHOW ALL WORK THANK YOU!!!!!!
Natalija [7]
M>5=m>4
m>5 and m>7 are on line then m>5+m>7=180
by substituting
m>4+37=180
m>4=143
m>2=m>7=37
m>4=m>8
m<3+m>5=180
7 0
3 years ago
Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each.
Marta_Voda [28]
Alright, let's answer this -

Half of 48 is 24... 

Half of 24 is 12...

12 three times is 36...

36 + 12 is equal to 48. =)
6 0
3 years ago
Read 2 more answers
You are training for a marathon. On the first three days of training, your run for 2,4, and 5 miles. How many miles should you r
jasenka [17]
The answer would have to be like the same as the first day, so that being said you would have to add. I think the answer is 2,2,4. hope this helps.

3 0
3 years ago
Other questions:
  • John has a circular pool that has a radius of 7 feet. What is the area of his pool? Please use the formula sheet to assist you w
    13·2 answers
  • If y is 5 when x is 2.5 and y varies directly with x, find y when x is 10
    12·2 answers
  • Plzz HELPP I'll give brainlist
    8·1 answer
  • Please help cuhhhhhhhhhhhhhhhhhhh
    13·2 answers
  • Two friends store 3 cereal bors equally. How many cored bors each person get? Show your work Write an equation &amp; solution: E
    12·1 answer
  • HELP ILL GIVE YOU BRAINLIEST
    11·1 answer
  • alyssa had 97 snack cakes. If the snack cakes were split into 4 different groups how many pies were in each group? but write the
    10·1 answer
  • Is 38,017,768 divisible by 2
    9·2 answers
  • Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is City A, if it is 36° north from the E
    12·1 answer
  • I NEED IT NOW
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!