The body moves with the speed v=5t^2-2t+2. What is its speed at the moment when the acceleration is zero?​

Answers

Answer 1

Answer:

1.8m/s

Step-by-step explanation:

Given:

speed;

v = 5t² - 2t + 2                 ---------------(i)

(i) First, find the acceleration a by differentiating the speed equation in equation (i) with respect to t as follows;

a = [tex]\frac{dv}{dt}[/tex]

a = [tex]\frac{d}{dt} [5t^2 - 2t + 2][/tex]

a = 10t - 2              ---------------------(ii)

(ii) Next, find the moment (time) when the acceleration is zero. This is done by substituting a = 0 into equation(ii) as follows;

0 = 10t - 2

Solve for t

10t = 2

t = 2 / 10 = 0.2

Therefore, at t = 0.2s, the acceleration is zero.

(iii) Now, find the velocity at time t = 0.2s when the acceleration is zero. This is done by substituting the value of t = 0.2s into equation (i) as follows;

v = 5(0.2)² - 2(0.2) + 2

v = 0.2 - 0.4 + 2

v = 1.8

Therefore, the speed at the moment when acceleration is zero is 1.8m/s

NB: Since the units of measurement are not given, the S.I units are used. Hence m/s for speed.


Related Questions

HELP ASAP!!! Identify y.

Answers

Answer:

y=2

Step-by-step explanation:

53y–16= 90

53y=90+16

53y=106

y=106/53

y=2

Answer:

y = 2

Step-by-step explanation:

If one side of a triangle inscribed in a circle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle.

Therefor

53y - 16 = 90

add 16 to both sides

53y = 106

Divide both sides by 53

y = 106/53

y = 2

Find the sum of the arithmetic series...........
3 + 5 + 7 + 9 + 11 + for 100 terms.

Answers

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]

please help guys its urgent

Answers

upen saves the most of his salary every month

Answer:

option B : Upen

Step-by-step explanation:

To find who saves the greatest. Find who spent the least.

That is find the smallest of these fractions.

To find the smallest among the fraction:

Step 1 : make the denominators the same.

Step 2 : to make denominators same find LCM of 8, 4, 3, 6

Step 3: LCM = 24

[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]

[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]

So 2/3 is the smallest fraction,  which means 2/3 spent the least amount from the salary.

Therefore, Upen saves the greatest amount every month.

6÷2(1+2)=
whats the answer ​

Answers

Answer:

9

Step-by-step explanation:

6÷2(1+2)=

Parentheses first

6÷2(3)=

Then multiply and divide from left to right

Divide first

3*3

Then multiply

9

Answer:

It is 9

Step-by-step explanation:

You start with the numbers in the parenthesis first then you do the division and then multiple those two answers together.

(1 + 2) = 3

6 ÷ 2 = 3

3 x 3 = 9

A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the​ box?

Answers

Answer:

768 in²

Step-by-step explanation:

Surface Area = 2(15*14) + 2(15*6) + 2(14*6)

Surface Area = 2(210 + 90 + 84)

Surface Area = 2(384)

Surface Area = 768

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

768 in²

Step-by-step explanation:

i got it right on the test

can someone pls help for brainlest

Answers

Hope this help!!!

Have a nice day!!!

15 years from now Ravi's age will be 4 times his present age what is Ravi's present age​

Answers

Answer:

Ravi’s present age will be 5.

Step-by-step explanation:

From the given, Let Ravi’s present age is taken as "a" years.  

After 15 years, his age = (a+15) years.  

By the given, it is identified that the age of Ravi after 15 years is equal to the 4 times of his present age.

Given,  

[tex]a+15+4a\\4a-a+15\\3a=15\\a=15/3\\a=5[/tex]

Then, it has been found that the present age of Ravi is 5 when his age after 15 years will be 4 times of his present age.  

6 I think Sry if I wrong________

below equations has a graph that passe ugh the points (3,-4) and (-1,4)?
Which of

Answers

Answer:

boi i don't know you should be studing

Answer:

option b.

Equation of line passing through ( 3, 4) and ( - 1 , 4) :

                                                                        [tex](y + 4) = -2 (x-3)[/tex]

Step-by-step explanation:

Step 1 : Find slope.

  [tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -- 4}{-1-3} = \frac{8}{-4} = -2[/tex]

Step 2 : Equation of line.

   [tex]( y -y_1) = m (x -x_1) \ , \ where\ (x_1, y_1) = (3, -4) \ , \ m = -2[/tex]

   [tex](y + 4) = -2 (x-3)[/tex]

answer the problem that was given in the image.

Answers

Answer:

1314.24 cm^2

Step-by-step explanation:

Area for one square: 14.8 x 14.8 = 219.04

There's 6 squares so: 6 x 219.04 = 1314.24 cm^2

2. What is the probability of spinning an A on the first spinner and an odd number
on the second spinner? *

Answers

Answer: 1/10

Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.

To find the probability of independent events, first, find the

probability of each event, then multiplies the probabilities.

The probability of spinning an A on the first spinner is 1/5

since there is 1 favorable outcome and 5 total outcomes.

The probability of spinning an odd number on the second spinner

is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,

spinning a 1, 3, or another 3 since these are odd numbers.

So now we have 1/5 × 1/2 and when multiplying fractions,

we multiply across the numerators and denominators to get 1/10.

So the probability of spinning an A, then an odd number is 1/10.

Helpppppppppppppppp meeeee

Answers

Answer:

3

Step-by-step explanation:

Both angles are congruent because they are opposite exterior angles.

6x+2=x+17

5x=15

x=3

Answer:

x = 23 °

Step-by-step explanation:

6 x + 2 ° + x + 17 ° = 180 °

combine like terms

6x + x + 2 ° + 17 ° = 180 °

7 x + 19 ° = 180 °

7 x = 180 ° - 19 °

7 x = 161 °

x = 161 ° / 7

x = 23 °

In the diagram beside QRS is a straight line QP/RT ‹ PRQ = 56 ‹ QPR = 84 and ‹+RS X° X find x​

Answers

Answer:

x = 40

Step-by-step explanation:

< PQR = 180° - (84° + 56°)

= 40°

so x = 40° (corresponding angles QP// RT)

Mr. Brutry ordered 78 pencils for the students in his class. He ordered enough pencils for each student to have exactly 3
pencils.
How many students are in Mr. Bruno's class?
Use a letter to represent the number of students in Mr. Bruno's class.
Write an equation and use it to solve the word problem.

Answers

Answer:

He has 26 students

Step-by-step explanation:

78/3=26

there are a tangent and secant line meet and the angle created is 45 degrees the large arc of the circle is 27x. solve for x and how? ​

Answers

Answer:

10°

Step-by-step explanation:

the minor arc BC = 2×45 = 90°

so, the major arc BC = 360-90=270°

27x = 270°

x = 270/27 = 10°

Can someone please help???

Answers

Answer:

The triangle is a right triangle, m<c = 50 degrees, angle A + angle c = 90 degrees.

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

the triangles measurements always add to 180°. the triangle above is a scalene triangle, since none of the angle measurements are the same amount.

Equilateral triangles: All 3 sides are equal

Isoceles triangle: 2 sides are equal

Scalene triangle: No sides are equal

anyone know this ...

Answers

It should be AA c: ✌️
the answer to this question should be AA c

Anyone will have time to do this for me pls?

Answers

x= -4

y= -7

Hope it helps you...

I don’t really know I don’t really know I don’t really know I don’t really know I don’t really know. I don’t really know

Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24.5%. A Gallup poll examined the rate of obesity in adults in the United States with a survey of 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. Select the best description of the sample.

Answers

Answer:

86,664 randomly selected U. S Adults

Step-by-step explanation:

The sample is a subset of the population, that is a representative observation which is chosen from a larger population usually used in place of the population due to various reasons which may hamper the use of the entire population on a certain research project. Here, the population of interest is the entire U.S adult.

The subset of the population employed is the 86,664 randomly sampled US adults, this is called the sample as it representative of the population of interest.

If H is the center of the circle, find mGJI A 117.33 B 222.57 C 242.67 D 256.56

40 POINTS! PLEASE HELP

Answers

Answer:

GJI = 242.67

Step-by-step explanation:

A circle is 360 degrees

GI + GJI = 360

The arc length is the same as the angle when it is at the center

117.33 + GJI = 360

GJI = 360 - 117.33

GJI = 242.67

Answer:

GJI = 242.67

Step-by-step explanation:

GI + GJI = 360

117.33 + GJI = 360

GJI = 360 - 117.33

GJI = 242.67

What is the angle measure of the third angle of a triangle given the two angles below? 59 degrees and 58 degrees

Answers

Answer:

firstly a triangle has angle sum of 180°

Step-by-step explanation:

let all the three angles be x,y and z such that x+y+z =180°

let x= 58° and y =59°

the to calculate for the unknown z angle ;

make z subject of the formula

thus z= 180° -x-y

> z= (180-58-59)°

z= 180-117

z= 63°

Answer:

63

Step-by-step explanation:

59 + 58 = 117

180 - 117 = 63

To find a third angle you will subtract the sum of the two given angles from 180 because all you have to know is that all of the angles in a triangle always add up to 180°.

i hope this helps. i don't know how to explain

The volume of this sphere is 25500cm3. Work out the length of the radius, r . Give your answer rounded to 1 DP.

Answers

Answer:

The radius is 18.3cm

Step-by-step explanation:

Given

[tex]V = 25500cm^3[/tex]

Required

The radius, r

The volume (V) of a sphere is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

So, we have:

[tex]25500 = \frac{4}{3}\pi r^3[/tex]

Solve for r

[tex]\pi r^3 = 25500 * \frac{3}{4}[/tex]

[tex]\pi r^3 = 19125[/tex]

Divide by [tex]\pi[/tex]

[tex]r^3 = \frac{19125}{\pi }[/tex]

[tex]r^3 = \frac{19125}{3.14}[/tex]

[tex]r^3 = 6090.8[/tex]

Take cube roots

[tex]r = 18.3[/tex] -- approximated

Help,anyone can help me do quetion.​

Answers

Step-by-step explanation:

this is solution for your question

To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license?

17%
19%
36%
70%

Answers

Answer:17

Step-by-step explanation:

Because i know its the right answer and i guessed sorry if its wrong

Answer:

17

Step-by-step explanation:

What is the perimeter of the area. Please show work.​

Answers

Answer:

P=a+b+c

Step-by-step explanation:

Find the length of side XZ in the right triangle shown, Y 37 meters 12 meters ? meters X Z z Tags​

Answers

Vnn GB TV fun rn huh Jit ex

Answer: 35 meters got it right on TTM

Hey there, Please help me. Thank you

Answers

Answer:

(-5,-15)

Step-by-step explanation:

Answer:

(-5,-15)

Step-by-step explanation:

3x=2x-5

-2x  -2x

x=-5

y=3(-5)

y=-15

I need help............,
only question no.12​

Answers

Answer:

12. Please find attached the required plot created with MS Excel

Step-by-step explanation:

12. The points are given in their x and y-coordinates as follows;

(-2, 5), and (5, 2)

To plot the points on a graph, MS Excel plot function can be used as follows;

1) We enter the x and y-values of the first point, side by side in cells on the Excel spreadsheet

We enter the x and y-values of the second point, beneath the first point on the spreadsheet as follows;

[tex]\left | \begin{array}{ccc}-2&|&5\\5&|&2\end{array} \right|[/tex]

2) The four cells are selected and from the Insert menu within the Chart group, the Scatter (x, y) chart is selected

3) The plot created with MS Excel is attached

If g(x) = √x and h(x) = x^3 - 1, what is g(h(4))

Answers

Answer:

Here, given

g(x) = √x

h(x) = x³-1

For gh(4) , we have to find gh(x), so,

gh(x) = g(x³-1)

        =√x³-1 [Note⇒root is both for x³ and 1]

Now,

gh(4) = √4³-1

        = 3√7 or 7.9

Hope it helps!

Leon simplified √180k/9k^5 His work is shown below. Leon got a simplified answer of 2/k^2√5 Did he simplify correctly?​

Answers

Answer:

No, 2/3 sqrt(5) k^(11/2)

Step-by-step explanation:

Answer:

yes he simplified correctly

Step-by-step explanation:

got this question right on edg

find the mean of 11,7,2,8​

Answers

mean=7

Answer:

n=4

sum =11+7+2+8=28

MEAN=sum/n=28/4=7

Answer:

The Mean is 7.

Step-by-step explanation:

Mean, or average is when you find a number that is reperesentative of the set as a whole.

To find this we add up all the values and divide it by how many values there are.

11 + 7 + 2 + 8 = 28

28/4 = 7

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