[Calculus] find average velocity given position of particle. Show steps, please!
![[Calculus] Find Average Velocity Given Position Of Particle. Show Steps, Please!](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/aVv63ejqWRHuDoY2YgUUvzPpSH3JesPC.png)
Answers
Answer:
C
Step-by-step explanation:
Since we are given the position function, the average velocity will simply be the average slope of the position function.
We want to find the average velocity for time 0≤t≤3.
So, our endpoints are t = 0 and t = 3.
By substitution, the position of the particle at those times are:
[tex]x(0)=-5(0)^2=0\text{ and } \\\\ x(3)=-5(3)^2=-45[/tex]
So, we have the two points (0, 0) and (3, -45).
Then by the slope formula, we acquire that:
[tex]\displaystyle m=\frac{(-45)-(0)}{(3)-0}=\frac{-45}{3}=-15[/tex]
So, the average velocity of the particle is about -15.
This implies that the particle was mainly moving backwards for time 0≤t≤3.
Hence, our final answer is C.
*If you differentiated first and then did the steps above, then you found the average acceleration of the particle (in this case it stays constant), not the average velocity. Remember that the slope of the position graph is velocity, and the slope of the velocity graph is acceleration!
Related Questions
A and B are sets of real numbers defined as follows.A= {z│z > 4}B= {z│z ≤ 9}Write A U B and A ∩ B using interval notation. If the set is empty, write Ø
Answers
Answer:
[tex]AnB=(5,6,7,8,9)[/tex]
[tex](AUB)=(5,\infty) U (-\infty,9)[/tex]
Step-by-step explanation:
From the question we are told that
A= {z│z > 4}
B= {z│z ≤ 9}
Generally A&B are assumed to be really integers
therefore
A={5,6,7,8,.....}={z│z > 4}
B=(9,8,7,6.....)={z│z ≤ 9}
a)For [tex]AnB[/tex]
Mathematically the [tex]AnB[/tex] is given as
[tex]AnB[/tex]=[tex]A=(5,6,7,8,9,10......) n B=(9,8,7,6,5,4,3,2,1......)[/tex]
[tex]AnB[/tex]=(5,6,7,8,9)
Therefore the intercept [tex]AnB[/tex] is Given as
[tex]AnB=(5,6,7,8,9)[/tex]
b) for [tex]AuB[/tex]
Mathematically the [tex]AuB[/tex] is given as
[tex]AuB[/tex]=[tex]A=(5,6,7,8,9,10......) U B=(9,8,7,6,5,4,3,2,1......)[/tex]
[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]
Therefore the union [tex]AuB[/tex] i given as
[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]
Which criteria must be true to conclude that ABCD is a parallelogram?
AE⎯⎯⎯⎯⎯≅EC⎯⎯⎯⎯⎯ and DE⎯⎯⎯⎯⎯≅EB⎯⎯⎯⎯⎯
AE=12BC
AC⎯⎯⎯⎯⎯≅BD⎯⎯⎯⎯⎯
AE⎯⎯⎯⎯⎯≅BE⎯⎯⎯⎯⎯ and DE⎯⎯⎯⎯⎯≅CE⎯⎯⎯⎯⎯
Parallelogram A B C D with diagonals A C and B D intersecting at E.
Answers
Answer:
AC⎯⎯⎯⎯⎯≅BD⎯⎯⎯⎯⎯
AC≅BD
A serving size of oreo cookies is 3 cookies which is 20% of a box of cookies come ina a box
Answers
Answer:
tell us the rest of the questionnnnnnn
Step-by-step explanation:
If 10 percent of a number equals 30, find 40 percent of that number.
Answers
To find the whole number given the fraction and the number by the fraction, you multiply the number by the reciprocal/inverse of the fraction.
30 * 100/10= 300
So the whole number is 300 and to find 40% just multiply
300 * 40/100 = 120
:D
Alaina went to the pet store to buy fish for her new 14-gallon fish tank. Each large fish costs $8 and requires 2 gallons
of water. Each small fish costs $3 and requires 0.5 gallon of water. She has $70 to spend on fish at the pet store. Circle
the combination of large and small fish can Alaina purchase for her fish tank?
Answers
Answer:
Small fish= 7
Big fish= 21/4 (so she'll get 5 big fish)
Step-by-step explanation:
With the problem, there are two equations, one for the cost, and one for the amount of water. For the first equation, Alaina can spend 70 dollars and the fish cost 8 and 3 dollars so the equation is 70=8b+4s (s for small and b for big). Then for the second equation there are 14 available gallons and the fish require 2 and .5 gallons so 14=2b+0.5s. Then you just solve the system of equations.
What is x?
25.12 = 27.10
PLEASE HELP MEEEE
Answers
Answer:
where's the x in the equation?
Answer:
25/12 Therefore, this equation is true: 25/12 = 25/12 If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction. 25/12 = 2 1/12. Simplify Fractions.
A chocolate chip cookie recipe calls for 2 cups of chocolate chips for every 3 3/4
cups of flour. How much flour would you use if you only had 1 cup of chocolate
chips?
Answers
9514 1404 393
Answer:
1 7/8 cups flour
Step-by-step explanation:
Half the quantity of chocolate chips will call for half the quantity of flour:
(3 3/4 cups)/2 = (15/4 cups)/2 = 15/8 cups = 1 7/8 cups of flour
Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2
Answers
Answer:
64π
Step-by-step explanation:
no
Percy bought an encyclopedia pried at $13.85 shipping and handing cost an additional 20 percent of the price
Answers
Answer:
Percy spent $2.77 for shipping and handling.
Step-by-step explanation:
2.77 is 20 percent of 13.85
[Image: 1 apple, 3 oranges for each of 5 steps on the slider]
Explore equivalent ratios by using the slider. Complete the sentences below.
For every 4 apples, there are
oranges
Answers
Answer:
1.5
Step-by-step explanation:
What is mzA? Enter your answer as only a number
Answers
Answer:
A = 25
B = 65
Step-by-step explanation:
Remark
I hope you mean what is the size of <A? If not leave a note. If I am correct than A and C are complementary (equal 90o) since B is a right angle.
Solution
2x + 1 + 5x + 5= 90 Combine like terms
7x + 6 = 90 Subtract 6 from both sides
7x = 90-6
7x = 84 Divide by 7
x = 84/7
x = 12
==========================
Now that is not quite the answer.
A = 2x + 1
A = 2*12 + 1
A = 25
B = 5x + 5
B = 5*12 + 5
B = 60 + 5
B = 65
Find whole numbers a,b,c so that
Answers
Answer:
Step-by-step explanation:
I can't give answer you by step to step cause I can't make any symbols through my computer.
does anyone know this?!
the answers are
a- 0.12
b- 0.32
c-0.20
d.0.08
Answers
Answer:
a
Step-by-step explanation:
on the medicine bottle it says 2 grams for a 60 lb person. the child weighs 105 lbs. how much medicine should they get?
Please help fast!!
Answers
Answer:
3.5 Grams
Step-by-step
set 2grams/60lbs equal to xgrams/105
x representing the amount of medicine needed for a 105lb child
Then you divide 60 by 105.
60/105=1.75
Now you multiply 2 by 1.75.
2 x 1.75 = 3.5
3.5 is your answer because 105 is 1.75 times more lbs than 60lbs
meaning you would need 1.75 times the amount of 2grams
to determine the value of x, which is 3.5grams
Substitute x=y+1 into the expression 3x -1 and determine the first step
Answers
Answer: the solution becomes 3=y+1-1
Step-by-step explanation:
The first step is to combine like terms meaning you subtract 1-1. Then you are left with 3=y.
The discount price of a hat is $24 whats the regular price if the discount is 20%
Answers
Answer:
30
Step-by-step explanation:
discounting by 20% is the same as marking to 80% of the original cost. 80% = .8
set up equation and solve
.8x=24
x=30
A student takes 25 minutes to solve 10 math problems in class if the student solve similar problems at the same rate how many minutes will it take the student to solve 12 math problems
Answers
Answer:
The answer would be 30 minutes
Step-by-step explanation:
Find how many ties 12 can go into 10. (Divide 12 divided by 10=1.2)
Multiply 25 times 1.2 (30)
Your answer would be 30 minutes
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest!!!
What is the best estimate for 82% of 503?
Answers
by what number must row 2 in the matrix??
Answers
Answer:
Look at the picture
Step-by-step explanation:
i took the test
The row 2 in the matrix must be multiplied by 0.5
Matrix MultiplicationAccording to the question;
The row 2 contains elements; 2 0 -2Hence, let the required number to multiply row 2 be; x so that;
2 × X = 10 × X = 0-2 × x = -1From all the equations above; it follows that;
x = 1/2 = -1/-2Hence, the required number is; 1/2 = 0.5
Read more on matrix multiplication;
https://brainly.com/question/1821869
Malik has two pencils. He has four blue pencils and 2 red pencils. What is the radio of red pencils and blue pencils?
Answers
Answer: 2:4 or 1:2
You could also write it in a fraction 1/2
Answer:
2:4
Step-by-step explanation:
We know that Malik has 4 blue pencils and 2 red pencils. Therefore, the ratio of red pencils to blue pencils is 2:4.
# of red pencils : # of blue pencils
2 red pencils : 4 blue pencils
2:4
I hope this helps!
please i need help:/
Answers
Answer:
It is 37%.
The formula for calculating your credit utilization ratio is pretty straightforward. To figure it out for an individual card, divide your credit card balance by your available credit line.
What you you do is divide the credit card ratio for each one.
For the first card: $2,397 (total on card) divided by 16,000, (the limit) is 0.149, we round that to 0.15. (15%)
For the second card: $1,218 (total on card) divided by 5,500 (the limit) which is 0.221. We round that to 0.22. (22%)
The question asks for the OVERALL, and that means to add. 22+15=37.
The mean undergraduate cost for tuition, fees, room, and board for four-year institutions was $26,489 for a recent academic year. Suppose that the standard deviation is $3204 and that 36 four-year institutions are randomly selected. Find the probability that the sample mean cost for these 36 schools is Less than $25,000
Answers
Answer:
0.00265
Step-by-step explanation:
We solve using the z score formula
z = (x-μ)/σ/√n
where
x is the raw score = $25,000
μ is the population mean = $26,489
σ is the population standard deviation = $3204
n = random number of samples = 36
For x < 25,000
z = 25000 - 26489/3204/√36
z = 25000 - 26489/3204/6
z = -1489/534
z = -2.78839
Probability value from Z-Table:
P(x<25000) = 0.0026485
Approximately = 0.00265
The probability that the sample mean cost for these 36 schools is Less than $25,000 is 0.00265
I need help with this work plz
Answers
Answer:
wheres the work???⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
where's the screenshot?
Which of the following numbers
is a solution to this inequality?
14x > 36
3
2.
Answers
Answer:
[tex]x=\frac{18}{7}[/tex]
Step-by-step explanation:
At the bowling alley, there are 25 people bowling. There is a 60% increase in bowlers the next night. How many people are bowling on the second night?
Answers
Answer:
There would be 40 people bowling on the second night.
Step-by-step explanation:
25 x .60 = 15
60% of 25 is 15.
25 + 15 = 40
Answer:
40
Step-by-step explanation:
Which of the following shows two congruent triangles
Answers
Answer:
all of them
Step-by-step explanation:
all of them seem to have the same marks
but if u get the question wrong my next bet would be to go with only C because it has the marks on the sides if that makes sense
-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4
Answers
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas? 63 7 7 63 ECO II 63 = 3
Answers
Answer: With 7 gallons of gas, the car can travel 147 miles.
The proportion is:
N*(63 miles/3) = total distance the car can travel with N gallons of gas.
Step-by-step explanation:
We know that with 3 gallons of gas, the car can travel 63 miles.
Then for N gallons of gas, we first need to count the number of times that 3 is in N.
This is equal to the quotient between N and 3:
N/3
This is the number of times that we have 3 gallons of gas, in a total of N gallons of gas.
And for each one of these, the car can travel 63 miles.
Then the total distance that the car can travel with N gallons of gas is:
(N/3)*63 miles. = N*(63 miles/3) = total distance the car can travel.
In this case, we want to know how many miles the car can travel with 7 gallons of gas, then if we use that equation we get:
(7/3)*63 miles = 147 miles.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+116x+75
Answers
Answer:
7.85
Step-by-step explanation:
the other guy is incorrect,
2h+y/9h^2-y^2 - 4h^2/3h+y what is the least common denominator in this expression
Answers
Answer: It is 9
Step-by-step explanation: