Mathematics College

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

Solve for
x
7
(
x
−
2
)
<
2
x
+
3

Give your answer as an improper fraction in its simplest form.

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if you are solving for x your answer would be

x < 17/5

System of inequalities
ASAP I ONLY HAVE 15 MINS WILLING TO GIVE 20 POINTS

Answers

Answer:

y > x - 4

x > 3

Step-by-step explanation:

The system of inequalities need to represent the overlapped, black area, so you need to write an inequality for each of the two lines shown.

To find out whether you should be using a >, <, ≤, or ≥, identify on the graph first:

The vertical line is shaded to the right of the line. The line is also dashed, so it should be a >.

The sloped line is shaded above the line. The line is also dashed, so it should be a >.

Then, find the slopes of the lines.

Refer to the sloped line as Line 1 and the vertical line as Line 2.

The slope of Line 1 is 1. It's y-intercept (where the line crosses the y-axis) is -4.

So: y = x - 4

Replace the = with >.

y > x - 4

Line 2 is unidentified, so you can see that it's x = 3. Replace the = with >.

x > 3

You can always check by plugging in a point from the overlapped area, like (4, 1).

(4, 1)

y > x - 4

1 > 4 - 4

1 > 0

x > 3

4 > 3

These statements are true.

a boat travels 438 km in 8 hours with a constant speed, how far can it travel in 5 hours

Answers

Answer:

its the first one

Step-by-step explanation:

what is 3/8 x 3/2 please

Answers

Step-by-step explanation:

3/8 x 3/2

(3×3)/(8×2)

9/16

Answer:

9/16

Step-by-step explanation:

An equation is shown.
30
+
100
o
Use the Add Point tool to show
the value of b on the number
line.

Answers

Answer:

130

Step-by-step explanation:

add 30 to 100 by removing the zeros in 100 and put 30 next to the 1

your welcome

There were 22,180 seats in a stadium. There are 85 sections with an equal number of seats in each and the remaining seats are floor level. How many seats are on the floor?

Answers

The number of seats in the floor is 80.

Answer:

Step-by-step explanation:

There are multiple solutions.

If each section has n seats, the floor has 22,180-85n seats.

22,180/85 ≅ 260.9, so each section has at most 260 seats.

If each section has 260 seats, the floor has 22,180-85×260 = 80.

The average weight of 8 marbles is 3.5 g. What is the total weight of the marbles?

Answers

3.5x8 = 28 grams have a good day

Help me out please :)

Answers

Answer:

2$ I think

Step-by-step explanation:

It’s 2 dollars for this

what is the definition of PEMDAS as it applies to 56(56^4)4+6

Answers

Answer:

pemdas

Step-by-step explanation: pemdas means please excuse my dear aunt sally meaning paranthesiss multiplication division addition and subtraction ^^ tell me if you want more definiton

Complete the table for y=1/5x+1 and graph the resulting line

Answers

Sorry this is really sloppy but hope this helps!

Answer:

x=-5 y=0

x=0 y=1

x=5 y=2

x=10 y=3

5/6 - 1/2 = ?

A. 1/4

B. 1/3

C. 3/4

D. 2/3
​

Answers

5. . 1
---- - -----
6. . 2


5. . 3
----- - -----
6. . 6


5-3
-------
6

2
-----
6


= 1/3

B

Use the Distributive Property to expand the following expressions.

a.) 2 ( y + 5x) = _______________

b.) 0.4 ( x + 2) = ______________

Answers

Answer:

Step-by-step explanation:

Distributive property: a(b +c)=(a*b )+(a*c)

a) 2(y + 5x) = y*2  + 5x*2

                  = 2y + 10x

b) 0.4(x + 2) = x*0.4 + 2*0.4

                   = 0.4x + 0.8

The length of a rectangle is 15 centimeters and the width is 8 centimeters. Which is the perimeter of the rectangle?

Answers

Perimeter is all outside lengths added up. So 8+8=16. 15+15=30
16+30= 46.

Ay anyone willing to help me with my work kinda lost

Answers

Okaayyy

Set B has the greater mode

pls help i really need it

Answers

Answer:

.................

Step-by-step explanation:

Find the value of x.
х
28
45
x=
[?]

Answers

Answer:

x=53

Step-by-step explanation:

One way to solve this problem is by using the Pythagorean Theorem.

This states that the square of one "leg" of the triangle plus the square of the other "leg" of the triangle would equal the square of the hypotenuse,  or the longest side of a triangle. Keep in mind that this only works for right triangles, where one angle  is exactly 90 degrees.

This formula can be written as: a^2 + b^2 =  c^2, where a and b are the legs and c is the hypotenuse.

So, for this problem, let a=28, and b=45.

This gives us: 28^2 + 45^2 = x^2

And we can simplify this to: 2809 = x^2

Taking the square root of both sides gives us the answer,  that x=53 units.

Hope this helps!

The chandlers are moving across the country. Mr.Chandler leaves 3.5 before Mrs. Chandler. If he averages 80 mph and she averages 90 mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?

Answers

Answer:

ghehejdskjkdskjdkjfsd

Step-by-step explanation:

Answer:

Step-by-step explanation:

90t=80(t+3.5) expand right side

90t=80t+280 subtract 80t from both sides

10t=280 divide both sides by 10

t=28 hours

Which is Q=200p/L solved for p

Answers

Answer:

P = QL/200

Step-by-step explanation:

Answer:
P= QL/200
Step by step explanation:

Will and John sell lemonade at a lemonade stand. After an hour, they have taken in $4 for a total of 8 cups of lemonade. What is the unit rate per cup of lemonade?
A.
$0.50 per cup


B.
$2.00 per cup


C.
$4.00 per cup


D.
$8.00 per cup

Answers

Answer:

The answer is A - $0.50 per cup

Step-by-step explanation:

If you divide the $4 by the 8 cups you get $0.50

Solve 5x + 2 = 22 please help​

Answers

Answer:

x=4

Step-by-step explanation:

5x+ 2 = 22

    -2      -2

5x= 20

divide by 5 on both sides

x=4

What is the y-intercept of the following equation? y=2x+5

Answers

5 because y=mx+c or y=mx+b if your american the c is the y intercept

given:<T~=<v;st||uv prove:tu||vw​

Answers

Why be like this? Hm

What is the algebraic rule used to create the image?

A. (3x, 3y)

B. (1/2x, 1/2y)

C. (1/3x, 1/3y)

D. (X-4, y-2)

I will give brainliest!

Answers

The answer for this question is c

Mr. Jenkins is buying paint to paint the garage wall. He needs to know the area of the wall in order to know how much paint he will need to buy. The wall is 24 feet wide and 12 feet tall. What is the area of the garage wall?

Answers

Answer:

288

Step-by-step explanation:

just  multiply its height by its width let me know if im wrong or not please

Answer:

i think c

Step-by-step explanation:

a pack of 6 cans cost $12 how much will 15 cans of coffee cost

Answers

Answer:

30$ for 15 cans of coffee.

Step-by-step explanation:

$12 for 6 cans of coffee

12 divided by 6 = 2

$2 per can of coffee

15 cans of coffee times $2 = 30$

Hope this helps

HELPPPPPP!!!!! Classify each pair of numbered angles.


Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.


Linear pair

Vertical

Adjacent

None of these

Answers

9514 1404 393

Answer:

  1, 2: Vertical

  5, 6: Adjacent

Step-by-step explanation:

Vertical angles are formed from opposite rays and share a vertex. Angles 1 and 2 are vertical angles.

__

Adjacent angles share a vertex and have one ray shared between them. Angles 5 and 6 are adjacent angles.

_____

Additional comment

In a polygon, interior angles that share a side of the polygon are also called adjacent angles..

In a survey of 100 people, 10 preferred onions on their hot dogs. What percent preferred onions?

Answers

1/10 if you divide 10 by 100 it would be 1/10

how do you solve the following problem with a rectangular fraction model ​

Answers

Answer:

1/3 - 1/4 = 1/12Step-by-step explanation:

I NEED HELP!!!!!!!!!!!

Answers

Answer:

50-3 x 12 - 9

Step-by-step explanation:

Answer: 50-3 x 12 - 9

2 log x + log 11
WILL MARK BRAINLIEST

Answers

Answer:

[tex] log(11 {x}^{2} )[/tex]

Step-by-step explanation:

[tex]2logx + log11 \\ \\ = log {x}^{2} + log11 \\ \\ = log( {x}^{2} \times 11) \\ \\ = log(11 {x}^{2} )[/tex]

The Equivalent value of 2 log x + log 11 is log(11x²).

What is Logarithm?

The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be represented as multiplication and division of logarithms.

We have to find the value of 2 log x + log 11.

Using the property

log a + log b = log (ab)

and, 2 log a = log a²

So, 2 log x + log 11

= log x² + log 11

= log( x² × 11)

= log(11x²)

Learn more about Logarithm here:

https://brainly.com/question/30085872

#SPJ2

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