The position of a particle on a straight line is given by s(t) = 3 – cos(t).
A. Find velocity and acceleration at t = 4.3 s.
Round your answers to 2 decimal(s).
v(t) =
a(t) =

The Position Of A Particle On A Straight Line Is Given By S(t) = 3 Cos(t).A. Find Velocity And Acceleration

Answers

Answer 1

Given the position function

s(t) = 3 - cos(t )

differentiate once to get the velocity, and twice to get the acceleration:

v(t) = s'(t) = sin(t )   →   v (4.3 s) ≈ -0.92

a(t) = s''(t) = v'(t) = cos(t )   →   a (4.3 s) ≈ -0.40

The acceleration is negative, so the particle is slowing down.


Related Questions

Diane has 7 meters of fabric to make a dress. One meter is approximately 1.1 yards. How many yards of fabric does Diane have?

Answers

Answer:

7.7 yards & 14.04 gallons

Step-by-step explanation:

so theres 1.1 yards per meter which can be written out as

1.1 yds/1 meter

multiply that by 7 meters would get you 7.7 yards

same with the punch:

0.26 gallons/ 1 liter times 54 liters = 14.04 gallons

How do I graph

y=-1/2x-1

Answers

Answer:

Step-by-step explanation:

Find the x and y intercept, and determine the slope.

X-intercept:

[tex]0=-\frac{1}{2}x-1\\1=-\frac{1}{2}x\\x=-2[/tex]

It crosses the x-axis at x = -2

Y-intercept:

[tex]y=-\frac{1}{2}(0)-1\\y=-1[/tex]

It crosses the y-axis at y = -1

Slope:

y = mx + b

m = slope = -1/2

The graph of the linear equation y = -(1/2)x - 1 is plotted.

Given data:

To graph the equation y = -1/2x - 1, use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

So, the slope is -1/2, and the y-intercept is -1.

To plot the graph, follow these steps:

Plot the y-intercept:

Start by plotting the point (0, -1), which represents the y-intercept.

Use the slope to find another point: Since the slope is -1/2, use the rise and run method. From the y-intercept point (0, -1), move down 1 unit (negative 1) and then move to the right 2 units. This gives another point on the line, which is (2, -2).

Hence, the resulting graph should be a straight line sloping downwards from left to right and is plotted below.

To learn more about equation of line, refer:

https://brainly.com/question/14200719

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What is the face value of 2 in the number 286?

Answers

Answer:

200 or 2 I guess

Step-by-step explanation:

Ion really get wym by “ what is the face”

200 i also don’t get what you mean

Evaluate the following expression, when x=-2

2x^2+4x-3

A) 3
B) 3
C) -19
D) 9​

Answers

Answer:

-3

explanation;..!!^=^

Answer:

Sana makatulog po Ito sa inyo.

If x = -2, which inequality is true?

2x + 6 < -1

2x - 3 > 6

-5 + 3x > 1

3 - x < 10

Answers

Step-by-step explanation:

The answer of this question is -5 + 3x > 1

If my answer is wrong so I am really sorry for it

Which data collections show bias? Check all that apply.
D An English teacher polls the top-ten most avid readers to find their favorite books.
O An
insurance company polls drivers of sports cars to find their average number of tickets.
O A restaurant manager surveys every tenth customer for one week.
O An assistant principal surveys each student who is sent for discipline.
D A fundraiser organizer draws five names from a hat that contains all entries.

Answers

Answer:

An insurance company polls drivers of sports cars to find their average number of tickets.

Step-by-step explanation:

It’s bias because they’re only polling people with sports cars

An English teacher polls the top ten most avid readers to find their fav books
An insure company polls drivers of sports cars
An assistant principal surveys each student

What is the equivalent expression for 4(w-5)?

Answers

Answer:4w-20

Step-by-step explanation:distribute

A high-speed elevator can rise 480 feet in 3 seconds. Which expression represents the rate, in feet per minute, of the elevator?​

Answers

Answer:

I hope I can help

Step-by-step explanation:

welcome po

Question:

A high-speed elevator can rise 480 feet in 3 seconds. Which expression represents the rate, in feet per minute, of the elevator?

Answer:

1 minute = 60 seconds

60 seconds/3 seconds = 20

480 feet x 20 = 9,600 feet

The elevetor travels 9,600 feet per minute.

-Manifa

#CarryOnLearning

#LearnWithBrainly

(-2,9) reflected over the the x-axis

Answers

Step-by-step explanation:

starting from point 0, go to the left 2 spaces, then up 9.

Which equation represents a line which is parallel to the line
6x + 7y = –49?

Answers

Answer: y= 7/6x-5

Step-by-step explanation:

The equations of parallel lines have the same slope or rates.

The equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

The equation is given as:

[tex]\mathbf{6x + 7y = -49}[/tex]

Make 7y the subject

[tex]\mathbf{7y = -6x-49}[/tex]

Make y the subject

[tex]\mathbf{y = -\frac{6}{7}x -7}[/tex]

A linear equation is represented as:

[tex]\mathbf{y =mx + b}[/tex]

Where m represents the slope.

So, we have:

[tex]\mathbf{m = -\frac 67}[/tex]

Parallel lines have the same slope.

So, the slope of the line is [tex]\mathbf{m = -\frac 67}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

Substitute [tex]\mathbf{m = -\frac 67}[/tex]

[tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

Hence, the equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

Read more about parallel lines at:

https://brainly.com/question/402319

Please help with math

Answers

Answer:

36-(16)+7= 36-16+7=27 hope it helps

Corrected by lenaelathbash

Answer:

27

Step-by-step explanation:

6² = 6 x 6 = 36

36 - ( 8 - 4 ) ² + 7

36 - ( 4 ) ² + 7

36 - 16 + 7

20 + 7

27

Hope this helps! :)

Please help me its due today

Answers

Answer:

The second one and the third one.

Step-by-step explanation:

The answer is 5*2+5*4

find the “x” in simplest form

Answers

Answer:

x = -7/5  + 1/5  √22

Step-by-step explanation:

Hope this Helps!!

Can y’all help me on question 30?!

Answers

Answer:

If they moved 10 yards that would be 30 feet.  

B would be your answer

Step-by-step explanation:

There are 3 feet in 1 yard.  Multiply the length value by 3.

3 x 10 = 30

( credits to codyprice )

30 = 2.5x
What is x equal to? Help please!

Answers

Answer:

x = 12

Step-by-step explanation:

30=2.5x for you to find the value of x divide both side by 2.5.

30 = 2.5x

2.5   2.5

12 = x

To check your answer, substitute the value of x.

30 = 2.5 (12)

30 = 30

If it is equal, your answer is correct!

x is equal to 12 in the given equation 30 = 2.5x.

To find the value of x in equation 30 = 2.5x, we can solve for x by isolating it on one side of the equation.

Given equation: 30 = 2.5x

To isolate x, we need to divide both sides of the equation by 2.5:

30/2.5 = (2.5x)/2.5

Simplifying this equation, we have:

12 = x

Therefore, x is equal to 12.

By dividing both sides of the equation by 2.5, we effectively cancel out the multiplication of x by 2.5, leaving us with the value of x. So, when 12 is substituted for x in the original equation, 2.5 times 12 equals 30, confirming that the value of x = 12 satisfies the equation.

Hence, x is equal to 12 in the given equation 30 = 2.5x.

To learn more about the equation;

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Anthony spent $10.24 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.00 tip. How much did Anthony have left from his twenty dollar bill? A. $0.80 B. $7.76 C. $9.76 D. $12.24

Answers

Answer:

$7.96

Step-by-step explanation:

20 - 10.24 = 9.96 - 2 = $7.96

Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
-2x+9≤5x-12

Answers

Answer:

x>3

Step-by-step explanation

-2x+9≤5x-12

Step 1: Subtract 5x from both sides.

−2x+9−5x≤5x−12−5x

−7x+9≤−12

Step 2: Subtract 9 from both sides.

−7x+9−9≤−12−9

−7x≤−21

Step 3: Divide both sides by -7.

−7x−7≤−21−7

Answer:

x≥3

The solution set to this inequality -2x+9≤5x-12 is x ≥ 3 .

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

According to the question

Solution set of inequality -2x+9≤5x-12.

-2x+9 ≤ 5x-12

-2x-5x ≤ -9-12

-7x ≤ -21

x ≥ 3  (sign changes as -ve sign eliminates )

Highlighted part in graph shows points

Hence, the solution set to this inequality -2x+9≤5x-12 is x ≥ 3 .

To know more about inequality  here:

https://brainly.com/question/20383699

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9. Rob usa el cálculo mental para resolver 90 – 30.
Dice que 9 decenas menos 3 decenas son
6 decenas, o 60. ¿Esto es verdadero o falso?
Encierra tu respuesta en un círculo.

Verdadero

o

Falso

Answers

Versadero. Espanōl eeee

-3xy-x²y²+1 is evaluated when x=-1 and y=-1 , then what is the exact value ?

Answers

Answer:

-3

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

=-3

hopes this helps?!?!

Answer -2

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

-3-1+1+1

-4+2

=-2

166. Запишите все целые числа, расположенные на координатной прямой между числами:

Answers

Answer:

Don’t speak that language sorry maybe translate into English?

I need this please help me

Answers

A.) 5/3
B.) 6
C.) undefined
D.) zero slope

SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP BUT JUST PLEASE HELP ME

Answers

Answer:

6

Step-by-step explanation

divide 48/6=6

divide 90/15=6

divide 102/17=6

HELP ME!!!! PLZ!!!!

The determinants of the minors of the first-row entries are _____ .
11, -20, 23
11, -16, 26
13, -20, 23
13, -16, 26
The determinants of the minors of the second-row entries are______ .
-21, 5, -24
-21, 7, -28
-18, 7, -28
-18, 5, -24
The determinants of the minors of the third-row entries are_______ .
4, 9, -14
4, 8, -12
6, 8, -12
6, 9, -14

Answers

Answer:

The picture below. (11, -20, 23) , (-21, 5, -24),  (6,9,-14)

3. Find the value of 18 – 3 x 5 - 2. Guys please I need help!!

Answers

Answer:

1

Step-by-step explanation:

Remember PEMDAS:

P: we have no parenthesis, so skip this step.

E: no exponents either.

MD (multiplication and division): we have 3x5. when we calculate this, it is equal to 15. Therefore our equation is now simplified to 18-15-2.

AS (addition and subtraction): Subtract in order of first to last. The answer is 1.

Answer as much as possible thanks :)

Answers

Step-by-step explanation:

Ans no.1

-2(y-4)

= -2y+4

=4-2y

Ans no.2

a=4 and b=6

6a+3b²

=6*4+3*6²

=24+108

=132

Ans no.3

65%of 180

= 65/100*180

=1170

Ans no.4

The absolute number is 7 because it is 7unit away from zero.

Ans no.5

The area of triangle= 1/2*base*height

=1/2*6*7

=21.

answer:

number 5.     21 in²

asking for the “x” in simplest form please help!!

Answers

Answer:

x = -0.441 and x = -2.359

Step-by-step explanation:

The given equation is :

[tex]2(5x+7)^2-13=33[/tex]

Adding 13 to both sides of the equation.

[tex]2(5x+7)^2-13+13=33+13\\\\2(5x+7)^2=46\\\\(5x+7)^2=23[/tex]

So,

[tex]5x+7=\sqrt{23}\\\\5x+7=\pm4.795\\\\5x=4.795-7, 5x=-4.795-7\\\\5x=-2.205, 5x = -11.795\\\\x=-0.441, x=-2.359[/tex]

So, the solution of the given equation is x = -0.441 and x = -2.359.

Which of the following equations correctly represents the law of sines?

Answers

The correct answer is A
The answer is option A.

Of the 40 students in a class , 2/5 are girls. Of the girls , 1/4 wear glasses. How many girls do not wear glasses

Answers

Answer:

12 girls

Step-by-step explanation:

2/5 x 40 = 16

1/4 x 16 = 4

16 - 4 = 12

A number went into this machine and 36 came out.

Answers

Answer:

75

Step-by-step explanation:

The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if
it had a bill of $71.80?
479
312
O
454
645

Answers

The answer to the question is 312
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