Given () = −^3 + 2^2 +(3/2) be the position of a particle moving along the x-axis at time t. At what time will the instantaneous velocity equal the average velocity over the time interval [0, 4]

Answers

Answer 1

Answer:

5.266 secs

Step-by-step explanation:

Lets assume ; p(t) = t^-3 + 2^2 + ( 3/2 ) is the particle position along x-axis

time interval [ 0, 4 ]

Average velocity = Displacement / time

                            = p( b ) - p( a ) /  b - a -------- ( 1 )

where a = 0 , b = 4 ( time intervals )

Back to equation 1

Average velocity = [ ( 4^-3 + 4 + (3/2) ) - ( 0 +  4 + (3/2) ) ] / 4

                             = 3.9 * 10^-3 ----- ( 2 )

Instantaneous velocity = d/dx p(t)

                                      = - 3/t^4  ------ ( 3 )

To determine the time that the instanteous velocity = average velocity

equate equations (2) and (3)

3.9*10^-3 = - 3 / t^4

t^4 = - 3 / ( 3.9 * 10^-3 ) = - 769.231

hence t = [tex]\sqrt[4]{- 769.231 }[/tex] = 5.266 secs

we ignore the negative sign because time can not be in the negative


Related Questions

Find the area of the circle. Leave your answers in terms of pi.

Answers

Answer:

49pi m^2

Step-by-step explanation:

Area of circle=pi r^2

D=2r=14

r=7

Area of circle =7^2pi=49pim^2

Answer:

Step-by-step explanation:

The diameter = 14m

r = d/2

r = 14/2

r = 7

Area = pi * r * r

Area = 7 * 7 * pi

Area = 49 pi

hii someone pls help me, I’m confused

Answers

Answer:

A, B, and D

Step-by-step explanation:

A, B, and D

Answer:

m²+m²+m²+m²

m⁸

4m²

Step-by-step explanation:

The equation is basically asking what is the same as m² times 4

Which equation describes the line that contains the points (7, 17) and (15, 33)?

Answers

Answer:

c bc it describsj7jndifkrk shdhitm

Please help me be genuine no Links I really need help please don’t be fake I really need it :(!

Answers

Answer: 2/3

Step-by-step explanation:

Probiability is really easy. First you need to count all the numbers like in yours.: 12 numbers. next you need to make a fraction like the number it is asking... Sience their are 8 shaded parts you write 8/12. Now you simpify 8divided 4 is 2. And 12 divided by 4 is 3. Answer 2/3

i don’t understand this question

Answers

Answer:

m and n are parallel, use the given equations to find x, and find the angle on the top, m<1

Step-by-step explanation:

30 Points

Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in, high. Her paper is 12 in, wide and 24 in. tall. She decides to use the scale 1 in. = 4
in. Is this a reasonable scale?

Answers

Step-by-step explanation:

1:4=.25 or 25%

so 12/47=.25 or 25%

24/120=.2 or 20%

that ratio does not match the height ratio

Sarah's scale is reasonable.

What is a scale drawing?

A scale drawing is a smaller diagram in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension.

Is Sarah's scale reasonable?

The first step is to determine the how larger the paper is in terms of the painting.

48 / 12 = 4

120 / 24 = 5

This makes her scale of 1 in to 4 in reasonable.

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Rita has a number cube and a letter cube. The number cube is numbered 1 through 6. The letter cube is lettered A through F. Rita will roll each cube once. What is the probability that she rolls an odd number with the number cube and a vowel with the letter cube? I

A 2/3
B 1/6
C 1/3
D 1/4​

Answers

The answer is b I believe

By selling a watch on 400 and 460’. Loss and profit happened respectively.if the loss and profit are equal, find cp.

Answers

Answer:

430

Step-by-step explanation:

Given :-

By selling a watch on 400 and 460’. Loss and profit happened respectively.The loss and profit are equal.

And we need to find out the CP .So ,

Let :-

CP be xProfit and Lost be y .

According to the Question :-

[tex]:\implies[/tex] 460 = x + y ( Profit)

[tex]:\implies[/tex] 400 = x - y ( Loss)

Adding both :-

[tex]:\implies[/tex] 460 + 400 = x + y + x - y

[tex]:\implies[/tex] 860 = 2x

[tex]:\implies[/tex] x = 860/2

[tex]:\implies[/tex] x = 430

Hence the Cost price of the watch is 430 .

I NEED HELP ITS DUE BEFORE MIDNIGHT

Answers

Answer: 15

Step-by-step explanation: 360÷24=15

Find the range of the data set: 400, 340, 870, 400

Answers

Answer:

530 870-340=530

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

Range means when you do the highest number takeaway from the smallest number.

870-340=530.

hope this helps,have a great day!!

~Pinky~

2. Landon, Wes, and Tim attempted 25 basketball shots each.
Landon made 36/100 of his shots.
Wes made 2/5 of his shots.
Tim made 32% of his shots.

Who shot the best % and why?
:,)

Answers

Answer: Wes shot the best because his percentage was 40% while Landon (36%) and Tim's (32%) percentage were lower than Wes's.

Step-by-step explanation: The best way to find out who shot the best is by first changing the denominator of the fraction to 25. This way, we can compare easily.

Landon:

36/100=9/25=36%

Wes:

2/5=10/25=40%

Tim:

32%

Hope this helped! ;)

A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inches. How many softballs with a diameter of 3.8 inches will fit into the container? Use the drop-down menus to explain your answer.

Answers

Answer:

3

Step-by-step explanation:

what is the value of 100 3/2

Hint: its not 203/2 or 101.5

Answers

its was 101.5 try it that's the answer

heyy! i’ll give brainliest please help.

Answers

Answer:

The first answer is correct I believe

Step-by-step explanation:

A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year. How many helmets did the company sell in their first year?

Answers

sports Inc sold more helmets

13. A bag contains 8 red marbles, 4 purple marbles, 5 green marbles, 2 orange, and 1 blue
marbles. One marble is selected and replaced. A second marble is selected. Find the
probability of each compound event. Show work and simplify your solutions.
a)
Not selecting an orange marble and then a blue marble
b)
Selecting a green or red marble and then a purple marble

Answers

Answer:

a) 9 / 200

b) 13 / 100

Step-by-step explanation:

a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.

Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).

There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10  = 9 / 200

b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.

There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100

factorize fully and also write in simplest form [tex]x^{2} +3x-10[/tex]

Answers

Step-by-step explanation:

x²+3x-10 =

(x+5)(x-2)

______

Can someone please help I will give brainliest!!! It’s due tonight

Answers

Answer:

1738

Step-by-step explanation:

ya I honestly think that the binomial of the quadriceps and triceratops are

Alex has a box of pens and pencils. Of all his pens and pencils,
1
4
of them are pens. He has
57
pencils.

Part A
Create an equation to represent the total number of pens and pencils,
p
, Alex has.

Answers

Answer:

a. p = n + m

where: n is the number of pens, and m is the number of pencils

b. p = 71

Step-by-step explanation:

Let the number of pens  and pencils that Alex has be represented by n and m respectively.

But,

number of pens, n = 14

number of pencils, m = 57

Then,

total number of pens and pencils, p = number of pens + number of pencils

i.e p = n + m

p = 14 + 57

p = 71

The total number of pens and pencils that Alex has is 71.

Find the area of the figure.

Answers

9514 1404 393

Answer:

  7 square inches

Step-by-step explanation:

We take the "3 in" dimension at the left to be the length of the line segment below the 1" square, so the height of the right triangle is 3+1 = 4 in.

The triangle area is ...

  A = 1/2bh

  A = 1/2(3 in)(4 in) = 6 in²

The square area is ...

  A = s²

  A = (1 in)² = 1 in²

Then the total area of the figure is ...

  1 in² + 6 in² = 7 in²

por qué la triangulación con dos diagonales en un rectángulo no es adecuada para calcular el
área del rectángulo y calcular la suma de los ángulos internos del rectángulo

Answers

Answer:

rfgcc ft v crytrcvrcvhtfvyrfftv ffg

Step-by-step explanation:

tgfgghcg gn v v

-15x - 43= -45 anyone

Answers

Answer:

If your looking to solve it, the answer is x=2/15

Step-by-step explanation:

Answer:

[tex]x=2/15 ~or~ x=0.13[/tex]

Step-by-step explanation:

[tex]-15x-43=-45[/tex]

[tex]move ~ -45 ~ to ~the ~right ~ and ~change ~ its ~ sign[/tex]

[tex]-15x=-45+43[/tex]

[tex]calculate ~[/tex]

[tex]-15x=-2[/tex]

[tex]divide ~ both ~ sides ~ by ~ -15[/tex]

[tex]x=\frac{2}{15}[/tex]

[tex]x=0.13[/tex]

------------------------------

hope it helps...

have a great day!!!

1.
Write y = x2 - 4x – 5 in the form y = (x + h) + k
Someone please help meee

Answers

Answer:

y = (x - 2)² - 9

Step-by-step explanation:

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 - 5

y = (x - 2)² - 9

Help ! ASAP ! I need this done !

Answers

Answer:

B. K = 5

Step-by-step explanation:

Select the correct answer from the drop-down menu.
Astronomers have estimated that our cosmos contains approximately 50,000,000,000 galaxies. This number can be expressed in scientific notation as
1. 5E-10
2. 5E10
3. 5E-9
4. 5E9

Answers

Answer:

Second option: 5E 10 = 5*10^(10) galaxies.

Step-by-step explanation:

The exponential notation is used as:

AE N

This is equal to:

A*10^(N)

And we need to add N zeros to the right of A.

While if we had:

AE - N

A*10^(-N)

We need to add N - 1 zeros at the left of A.

Now we have the number:

50,000,000,000

Let's count the number of zeros at the right of the 5, we have 10 zeros.

Then we would write this as:

5*10^(10)

OR

5E 10

Then the correct option is the second one.

Answer:

2. 5E10

Step-by-step explanation:

whats the value of x

Answers

Answer:

55°

Step-by-step explanation:

x + 35° = 90°

x = 90° - 35°

x = 55°

The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation. The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

Answers

Answer:

????

What's the question here? I would love to help!

A circle is inscribed in a square, as shown in the figure below. The length of
a side of the square is 10 . What is the area of the circle?

Answers

Answer:

78.5 cm^2

Step-by-step explanation:

the circle's diameter is 10cm --> its radius is 5cm

the area of the circle is 5^2 x 3.14 = 78.5cm^2

The area of circle is [tex]25\pi[/tex] square units.

What is the formula for area of circle?

The area of a circle is given by [tex]\pi r^{2}[/tex] where r is the radius of the circle.

What is the area of given circle?

The given circle is inscribed in a square. so, the side length of the square will be the diameter d of the circle.

So, d=10.

Divide diameter d by 2 to get the radius of the circle.

[tex]r=\frac{10}{2}[/tex]

So, r=5.

Substitute 5 for r into the formula of area of circle.

[tex]\pi \cdot5^{2}=25 \pi[/tex]

Therefore, the area of circle is [tex]25\pi[/tex] square units.

Learn more:https://brainly.in/question/25490087

#SPJ2

Can someone help me

Answers

Answer:

Question 1: each corresponding term in #2 is the term in #1 * 3.Question 2: answer D

Step-by-step explanation:

Question 1: the defined rules dictates that series 1 is multiples of 3 and series 2 is multiples of 9, making the ratio always 3.

Question 2: You must pay attention to the values of the coins based on how many going from 0 to 3 so the nickels are 0, 5, 10, 15 and the values of dimes is 0, 10, 20, 10. Looking only at the values one could easily jump to answer A because the values initially double for each, but breaks down at 3 coins.

What is the product?
2 - 2
13
1
x 35
- 2
1
0
4
1
12
7
7
10
11
6
7
9
15
14
- 1
9

Answers

Answer:

re343t

Step-by-step explanation:

479

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