A particle moves along a straight line with the equation of motion s = t^{5} - 2 t^{4} Find the value of t (other than 0 ) at which the acceleration is equal to zero.

Answers

Answer 1

Answer:

t = 8/5

Step-by-step explanation:

I'm assuming the equation given is the velocity of the particle

Derive the equation

[tex]5t^4 - 8t^3[/tex]

Set it equal to 0 & solve for t

[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]

Answer 2

The value of time at which acceleration is zero is required.

The required value of [tex]t=1.2\ \text{s}[/tex]

The function of motion is

[tex]s=(t)^5-2t^4[/tex]

Differentiating with time we get velocity

[tex]s'=5t^4-8t^3[/tex]

Again differentiating with time we get acceleration

[tex]s''=20t^3-24t^2[/tex]

Now acceleration [tex]s''=0[/tex]

[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]

Learn more:

https://brainly.com/question/10717492

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Related Questions

I WILL MARK BRAINLIST

Answers

Answer:e and f

Step-by-step explanation:

What are the coordinates of point R?​

Answers

Answer:

The last one (-1,5)

Step-by-step explanation:

From (0,0), the R coordinate is one to the left meaning the x is negative and five up which means the y is positive 5 so... (-1,5) is the new location of R.

If the area of a circle measures 25 pi cm², what is the circumference of the circle in terms of pi?

Answers

Answer:

10π cm

Step-by-step explanation:

Given

Area of the circle=25π cm^2

Solution

πr^2=25π

r^2=25

r=√25

r=5

So circumference of the circle=2πr

=2π×5

=10π cm

So the answer is 10π cm

3) Angle A is vertical to angle K. If angle A is 78 degrees, what is angle K?

Answers

I need a graph or something

Ryanne is 14. Her brother’s age is three more than half her age. How old is her brother?

Answers

Answer:

10

Step-by-step explanation:

because

14/2+3=10 this is the explanation

A video game is on sale for $25. This is 45% of the original price. What was the original price of the video game. Give a explanation (i will be marking brainliest)

Answers

Answer:

$36.25 is the original price

Step-by-step explanation:

$25= on sale

to find out the original price, multiply .45* 25, then add 25

.45*25=11.25

11.25+25=36.25

Point (a,b) is reflected about the x-axis. The resulting point is then reflected about the y-axis to produce a final point. Which transformation maps the original point directly to the final point?(1 point)

Answers

Answer:

A 180 degree rotation.

Step-by-step explanation:

I took the quiz.

What are the like terms in the expression?

4 m minus 9 + 3 n + 2
–9 and 2
–9 and 3n
4m and 3n
4m and –9

Answers

Answer: –9 and 2

Step-by-step explanation:

It’s -9 and 2 because they’re both constant terms

What is the 11th term of the sequence
1, 2, 4, 8, 16, ...?

Answers

Answer:

1024

Step-by-step explanation:

16x2=32

32x2=64

64x2=128

128x2=256

256x2=512

512x2=1024

x= previous term multiplied by 2

hopefully this helps :)

A teacher gives students the following math problem to solve: (4.20 – 1) × 5.6

Jo solves the problem with a calculator.

Bella solves the problem without a calculator.

Which statements are true? Check all that apply.

Jo’s method is more efficient because there are multiple decimal operations to perform.
Bella’s method could be used if she wanted to use estimation to check the reasonableness of Jo’s calculations.
Jo’s method is more efficient because some of the calculations cannot be done quickly by hand.
Bella’s method is more efficient because calculators should never be used in school.
Bella and Jo can both get the right answer to the problem.

Answers

Answer: A, E
Explanation: with a simple math problem like this a calculator is going to be more efficient. This, however, can be done by hand so each way can get to the right answer

Answer:

It is 1,2,3, and 5. hope this helps! :)

Step-by-step explanation:

Will the solution to the following equation be positive or negative? b ÷ -2 = 5 positive negative

Answers

Answer:

I think that it is negative

Step-by-step explanation:

yler's brother earns $12 per hour. The store offers him a raise— a 5% increase per hour. after the raise,how much will tyler make per hour

Answers

Answer:

$12.60

Step-by-step explanation:

12/100 × 12 = 0.60

12 + 0.60 = 12.60

6. Află termenul necunoscut
Un punct
a+ 5762= 8753
*
O
a= 2999
O
a= 2919
O
a= 2991​

Answers

Answer:

2999

Step-by-step explanation:

a coz terminal nenu .

add by that

Answer:

a... Is.... 2991.....

A person begins with $1500 in her savings account. She deposits $40 per month. Let N represent the number of months she has the account. Let A represent the amount in dollars in the account

Answers

Answer:

1500+40N=A

Step-by-step explanation:

40 per month (N) plus the initial amount = $ in account (A)

What is the difference between 1.37 and 0.52

Answers

Answer:

0.85

Step-by-step explanation:

1.37-0.52=0.85

help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help

Answers

Answer:

41/200

This is solved and put in standard form

0.205
My explanation: 2*1/10=0.2
5*1/1000=0.005
0.2+0.005= 0.205, I think I’m right, hope this helps! :)

You are selling books for $4 each to raise money for a trip. You have to pay $10 for the table. Write a rule for the amount of books sold (b) and total amount of money earned(t). Your answer should not have any extra spaces.

Answers

Answer:

4b=y-10

Step-by-step explanation:

Which value of x will make the fraction 10/x equivalent to 2/3?

I need this urgently!!!

Answers

Answer:

The value of x would be 15

Explanation:

10/x = 2/3

Cross multiply:

10 · 3 = x · 2

30 = 2x

30 ÷ 2 = x

15 = x

A​ man, a​ woman, and their four children randomly stand in a row for a family picture. What is the probability that the parents will be standing next to each​ other?

Answers

Answer:

Required probability = 2 / 11

Step-by-step explanation:

Sample space of 5 person = 11!

One woman one man arrangement = 2!

Arrangement without woman = 10!

Required probability = [2!][10!] / [11!]

Required probability = 2 / 11

The probability that the parents will be standing next to each​ other is 2/11

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Sample space

Given a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!

The parent arrangement is  2!If they are arranged without the woman, the expected event will be 10!

Pr(parents standing next to each other) =  2!10!/11!

Pr(parents standing next to each other) = 2*10!/11*10!

Pr(parents standing next to each other) = 2/11

Therefore the probability that the parents will be standing next to each​ other is 2/11

Learn more on probability here: https://brainly.com/question/25870256

Simplify: 5(2n + 7)
Help please

Answers

Answer:

10n+35

Step-by-step explanation:

5*2n +5*7

Answer:

[tex]\boxed {10n + 14}[/tex]

Step-by-step explanation:

Solve the following expression:

[tex]2(5n + 7)[/tex]

-Use Distributive Property:

[tex]2(5n + 7)[/tex]

[tex]\boxed {10n + 14}[/tex] (final answer)

Karon has 16 friends he invited to his party. If each friend brings him 1.5 pounds of candy as his treat, how many pounds of candy will he get? Karon is surprised by the amount of candy he received. He wants to give half the candy away. How many pounds will Karon give away?

Answers

He will receive 24 pounds of candy.

thats a lot o.O

Katie spent $148 at Target on shirts and jeans. The jeans cost $60 more than the shirts. How much did
she spend on shirts?

Answers

Answer;

$88

Step-by-step explanation:

148-60=88

148-60= 88

So she spent $88 on shirts and $60 on pants

g(x) = 2x^3+ 2x^2– 4x – 9
find g(-3)

Answers

Answer:

-33

Step-by-step explanation:

I hope this is correct, and I apologize in advance if it isn't :(

Answer:

g(-3) = -33

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = 2x³ + 2x² - 4x - 9

g(-3) is x = -3

Step 2: Evaluate

Substitute:                    g(-3) = 2(-3)³ + 2(-3)² - 4(-3) - 9Exponents:                   g(-3) = 2(-27) + 2(9) - 4(-3) - 9Multiply:                        g(-3) = -54 + 18 + 12 - 9Add:                              g(-3) = -36 + 12 - 9Add:                              g(-3) = -24 - 9Subtract:                       g(-3) = -33

Which is the better buy?
4-quart jug of water for $5.12

79-fluid-ounce jug of water for $3.95
Help please

Answers

Answer:

Step-by-step explanation:

1 quart = 32 fluid ounces

4 quart = 32 x 4 = 128 ounces

Rate of 128 ounces = 128 ÷ 5.12 = 25

Rate of 79 ounces = 79 ÷ 3.95 = 20

4 quart jug is a better buy

The price of a new computer is $1,449 at your local store. This is 18% less than what it costs at the Brownstone Mall. How much should it cost at the Brownstone Mall?

Answers

Given:

Price of new computer at local store = $1,449

This is 18% less than what it costs at the Brownstone Mall.

To find:

The cost of new computer at the Brownstone Mall.

Solution:

Let x be the cost of new computer at the Brownstone Mall.

According to the question,

[tex]x-18\%\text{ of }x=1449[/tex]

[tex]x-\dfrac{18}{100}x=1449[/tex]

[tex]x-0.18x=1449[/tex]

[tex]0.82x=1449[/tex]

Divide both sides by 0.82.

[tex]x=\dfrac{1449}{0.82}[/tex]

[tex]x=1767.07317[/tex]

[tex]x\approx 1767.07[/tex]

Therefore, the cost of new computer at the Brownstone Mall is $1767.07.

A new health drink has 160​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the​ drink?

Answers

Answer: 32 mg

Explanation: 20 = 100%, 60% of 20 is 12 and 12+20=32

Wow I like health but this is beyond my knowledge I am so sorry I couldn't help

Brainliest to RIGHT answer

Answers

Answer:

It's C

Step-by-step explanation:

2218388 of the 4031887

Answers

Answer:

Boi what?

Step-by-step explanation:

This is not a proper question. You need to include more information

Which algebraic expression is equivalent to the expression below? 9(3x - 6) + 11x A. 16x + 54 B. 38x - 6 C. 16x - 54 D. 38x - 54

Answers

Answer:

D. 38x−54

Step-by-step explanation:

Brainliest to the right answer...

Answers

Answer:

14

Step-by-step explanation:

All you have to do is fill in the variables with the number it is.

e - 1/2f

15 - 1/2(2)

15 - 1

14

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest so I can move on the the next rank! :)

Answer:

14

Step-by-step explanation:

1/2 x 2=1

15-1=14

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