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
guapka [62]
3 years ago
9

@bobross plz help I have another question

Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

The average velocity of the particle is \boxed{{\mathbf{21 units}}} .

Further explanation:  

Velocity is the speed of an object in a given direction. Velocity is the vector quantity.

The average velocity can be calculated as,

{\text{average velocity}}=\frac{{{\text{distance travelled}}}}{{{\text{time taken}}}}

Given:

The position of the particle after t  hours is s\left(t\right)=4{t^2}+t . The given interval is \left[{1,4}\right] .

Step by step explanation:

Step 1:  

The position of the particle after t  hours is s\left(t\right)=4{t^2}+t  

First we need to find the distance travelled in the interval of \left[{1,4}\right] .

The distance travelled by the particle at t=1  is as follows,

\begin{gathered}s\left(t\right)=4{\left(t\right)^2}+t\hfill\\s\left(1\right)=4{\left(1\right)^2}+1\hfill\\s\left( 1 \right)=5\hfill\\\end{gathered}

The distance travelled by the particle at t=4  is as follows,

\begin{gathered}s\left(t\right)=4{\left(t\right)^2}+t\hfill\\s\left(4\right)=4{\left(4\right)^2}+1\hfill\\s\left( 1 \right)=68\hfill\\\end{gathered}

Now find the distance travelled by the particle in the interval of \left[{1,4}\right]  .

\begin{aligned}{\text{distance travelled}}&=s\left(4\right)-s\left(1\right)\\&=68-5\\&=63\\\end{aligned}

Step 2:  

The given interval is \left[{1,4}\right] .

Now we need to find the time as,

\begin{aligned}{\text{time elapsed}}&=4-1\\&=3\\\end{aligned}

Step 3:  

Now we find the average velocity of the particle.

The average velocity can be calculated as,

\begin{aligned}{\text{average velocity}}&=\frac{{{\text{distance travelled}}}}{{{\text{time taken}}}}\\&=\frac{{63}}{3}\\&=21{\text{units}}\\\end{aligned}

Therefore, the average velocity of the particle is 21{\text{ units}} .

Learn more:  

  • Learn more about the distance between the points <u>brainly.com/question/6278187 </u>
  • Learn more about Adam drove his car 132 km and used 11 liters of fuel. How many kilometers will he cover with 14 liters of fuel? <u>brainly.com/question/11801752</u>
  • Learn more about the equivalent fraction <u>brainly.com/question/952259</u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Speed, distance and time

Keywords: velocity, initial position, particle, moves, interval, distance travelled, time elapsed, position, average velocity, units, vector quantity, speed, direction, hours.

enot [183]3 years ago
6 0

Answer:

Average velocity is 32 miles/hr.

Step-by-step explanation:

Given that a particle moves on a line away from its initial position so that after t hours it is  s=6t^2+2t miles from its initial position.

We have to find the average velocity of the particle over the interval [1, 4].

As, average velocity is the change is position over the change in time.

s(4)=6(4)^2+2(4)=104

s(1)=6(1)^2+2(1)=8

∴ \text{Average Velocity=}\frac{s(4)-s(1)}{4-1}

                            =\frac{104-8}{3}=\frac{96}{3}=32miles/hr

Hence, average velocity is 32 miles/hr.

                                         

You might be interested in
The measure of angle θ 7pi/6 is . The measure of its reference angle is °, and sin θ is
Vikki [24]

<span>The reference angle is closest to the x-axis.
I will assume the above is 7pi/6. That would be a reference angle of pi/6, and the sin in the 3rd quadrant is negative, so the sin theta = - 0.5</span>
6 0
3 years ago
Read 2 more answers
A school typically sells 500 yearbooks in a year for $50 dollars each.
Evgen [1.6K]
You divide 500 by $50 to get 10; the school sold 10 yearbooks that year if you’re looking for that as an answer.
8 0
3 years ago
Read 2 more answers
Ella conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the r
Afina-wow [57]

Answer:

the answer is C

Step-by-step explanation:

The answer is C.

Because we do not have any tables graphs etc., we can only use the fact that the range is 1

The definition of range is the difference between the largest amount and the smallest amount. In equation form, it should look like this:  

Now lets move to the answer choices:

Answer A. is wrong

If everyone surfed for exactly an hour, the largest amount of time would be 1 hour and the smallest amount of time would also be 1 hour. Put this into the equation and the range would be 0 which is contradicted from the data present

Answer B. is wrong because the range is not the average, the mean is the average. We are looking for the range, not the mean so Answer B. is incorrect.

Answer C. is correct. The range is the difference between the largest and the smallest. In this answer, it tells us that the range is the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour. This follows the term of "Range" and therefore, Answer C. is correct.

Answer D. is incorrect because the range does not have anything to do with quotients.(By the way, a quotient is the result of dividing a dividend with a divisor.) The range is only obtainable with subtraction, not division, so answer D. is incorrect.

please mark as brainliest. l need it to be an ace. please give me if you like it.

5 0
2 years ago
Read 2 more answers
How many people will occupy a 5280ft by 20ft space if 15 people occupied 25 square ft space
UNO [17]

Answer:

63,360 people

Step-by-step explanation:

the area of space =

5280 × 20 = 105,600 sq. ft

15 people occupied 25 sq ft

so, the sum of people will aoccupy the space =

105,600/25 × 15 = 63,360 people

3 0
2 years ago
Least to greatest ordering integers
andriy [413]

Answer:

5, 19, 24, 46, 77, 98

Step-by-step explanation:

Just write the numbers in order (I am assuming from least to greatest).  You can use a number line if necessary.



5 0
3 years ago
Other questions:
  • Two numbers have a sum of 44. The larger number is 2 more than the smaller number. What is the smaller number?
    11·1 answer
  • What are the solutions for x^2-4x-6=0
    8·1 answer
  • A motorcyclist travels 98 km in 1 hour 10 minutes.calculate his average speed ,giving your answer in kilometres per hour.
    8·2 answers
  • A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average spee
    15·2 answers
  • 24 students will be divided into 4 equal size terms. Each stundent will count off, beginning with the number 1 as the first team
    14·1 answer
  • PLEASEEEEEEEEEEEEEEEEEEEEEE HELP I DONT UNDERSTAND IT
    13·1 answer
  • What is the value of x?​
    6·1 answer
  • A tree measured 18 1/2 feet tall. Over the next 7 1/2 years, it grew to be 63 1/2 feet tall. During the 7 1/2years, what was the
    6·1 answer
  • A spherical water tank has a radius of 25 feet. Can it hold enough water to fill a swimming pool 50 meters long, 25 meters wide
    14·1 answer
  • In one particular suburb, there are 9 families that own a maltese. If there
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!