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
sergiy2304 [10]
3 years ago
10

Russel throws a soda from the balcony of his house to his friend Jones in the pool. If the soda is released 20 feet from the gro

und, and is thrown with a downward velocity of 2 ft/s, how long till the soda hits the pool, ignoring air resitance? Use the formula , where h is the height of the soda in feet and t is the time in seconds since Russel threw it. Round your answer to the nearest tenth.
A. 0.5 seconds B. 0.8 seconds C. 1.1 second D. 1.6 seconds
Mathematics
2 answers:
stepladder [879]3 years ago
3 0
Using the formula S = ut +1/2at²
S=h= 20ft, u = 2ft/s, and a = 10m/s²
Thus; 20 =2t + 20t²
Therefore; 20t²+2t-20=0
Solving the equation quadratically for the value of t,
we get; t = 1.057 or t=-1.182
But t can not be negative,
 Therefore, t= 1.1 seconds (to the nearest tenth)


ki77a [65]3 years ago
3 0

Answer:

C. 1.1 seconds

Step-by-step explanation:

The formula to use is :

h=ut+\frac{1}{2}at^{2}

Where: h is the height of 20 ft, u is the velocity of 2ft/s and a is the gravitational acceleration of 9.8m/s². The acceleration should be converted to ft/sec² to simplify calculations. The value is then 32.15ft/sec².

Substituting these values into the equation:

20=2t+0.5*32.15t^{2} \\20=2t+16.075t^{2} \\0=16.075t^{2}+2t-20

Using the quadratic formula, t can be solved.

a = 16.075, b = 2, c = -20:

t=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\t=\frac{-2+-\sqrt{2^{2}-4(16.075)(-20)} }{2(16.075)}\\t=\frac{-2+-35.92}{32.15}\\t=1.055 \\OR\\t=-1.179

The answer cannot be negative, therefore the answer is t = 1.055 ≈ 1.1seconds

You might be interested in
A friend of yours was interested in determining whether the news media noticed campus events. Your friend decided to do a conten
anygoal [31]

The inference is that the person will tell the friend that he did manifest coding and he should have recorded the base.

<h3>What is an inference?</h3>

The options are:

He did manifest coding.

He did latent coding.

He should have recorded the base.

He did manifest coding and he should have recorded the base.

It should be noted that an inference simply means the conclusion that can be deduced based on the information given.

In this case, the friend was interested in determining whether the news media noticed campus events and decided to do a content analysis of the local paper.

Therefore, the the person will tell the friend that he did manifest coding and he should have recorded the base.

Learn more about inference on:

brainly.com/question/25280941

#SPJ12

8 0
2 years ago
Read 2 more answers
The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where
Nesterboy [21]

Answer:

x^2 + x-72=0

Step-by-step explanation:

x(x+1) =72

Distribute

x^2 +x = 72

Subtract 72 from each side

x^2 +x - 72 = 0

Now this is the equation we can factor

8 0
4 years ago
Find the slope: y=23x+10
serious [3.7K]

Answer:

the slope is 23/1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Who graph shows a rate of 60 feet per second?
dem82 [27]

Answer:

g i did that before

Step-by-step explanation:

4 0
3 years ago
Arc AB is One-sixth of the circumference of a circle. What is the radian measure of the central angle? StartFraction pi over 6 E
oksian1 [2.3K]

Answer:

StartFraction pi Over 3 EndFraction

Step-by-step explanation:

we know that

The circumference of a circle subtends a central angle of 360 degrees or 2π radians

so

by proportion

Find out the central angle for an arc equal to One-sixth of the circumference of a circle

Let

x -----> the measure of the central angle in radians for an arc equal to One-sixth of the circumference

\frac{C}{2\pi}=\frac{(C/6)}{x}\\\\x=2\pi(C/6)/C\\\\x=\frac{2\pi}{6}

Simplify

x=\frac{\pi}{3}

therefore

StartFraction pi Over 3 EndFraction

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 3y+5x=-15 written in slope-intercept form
    14·2 answers
  • There are 20 students in the high school glee club. They need to pick four students to serve as
    13·2 answers
  • Help me on this math question please
    6·2 answers
  • Please help I don't understand​
    5·1 answer
  • sara is thinking of a number if she multiples the number 2 and 14,the result is the same as if he subtracts 8 from 4 times numbe
    9·1 answer
  • Find the quotient.<br><br> 48 ÷ -6 =
    8·1 answer
  • Show the mixed number and fraction that have the same value 3 2/7 4 5/8 2 3/5 2 3/8
    8·1 answer
  • The function h represents the?
    5·2 answers
  • The temperature at 3:00 PM was 35°F. The
    14·2 answers
  • 2.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!