All categories

2 years ago

a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...

Mathematics

1 answer:

Natali5045456 [20]2 years ago

7 0

Given the position function s(t), you can get the acceleration function by differentiating s twice:

velocity = s'(t) = -5 sin(t ) + 3 cos(3t )

acceleration = s''(t) = -5 cos(t ) - 9 sin(3t )

Then when t = π, the particle's acceleration is

s''(π) = -5 cos(π) - 9 sin(3π)

… = -5 • (-1) - 9 • 0 = 5

You might be interested in

What is the value of (–4)–3?

son4ous [18]

Here you go. Good luck!

7 0

3 years ago

Analyze the data represented in the table and select the appropriate model

Inessa05 [86]

Answer: Option B, a linear relation.

Step-by-step explanation:

Let's analyze the points in the data:

the first 3 pairs are: (0,14.70) (10,19.03) and (20, 23.36)

We can see the differences between consecutive points and see if the relation is linear:

(10,19.03) - (0,14.70) = ( 10 - 0, 19.03 - 14.70) = (10, 4.33) now we need to see the quotient: 4.33/10 = 0.433

(20, 23.36) - (10,19.03) = (20 - 10, 23.36 - 19.03) = (10, 4.33), and the quotient is the same as before.

This means that the relation is a linear relation, where the slope os 0.433 and the x-intercept is 14.70, so the equation can be written as:

y(x) = 0.433*x + 14.70

3 0

2 years ago

What quadrants is csc less than 0.

adelina 88 [10]

quadrant IV

Sure hope this helped you, have a good day! =)

6 0

3 years ago

Write or draw to explain a way to find each sum 6+7, 8+4, 2+9

Aleonysh [2.5K]

The sum to 6+7 is 13 and the answer to 8+4 is 12 and the sum to 2+9 is 11

5 0

3 years ago

Read 2 more answers

7. The difference of Grandma Annie's age and twice Carl's is 22. Gran

OlgaM077 [116]

<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

Difference = subtract
Twice = double
Less than = subtract

<h2>Solving the Question</h2>

We're given:

Difference of Annie's age and twice Carl's age is 22
Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

Let Annie's age be equal to x.
Let Carl's age be equal to y.

Translate the given information into two equations:

Difference of Annie's age and twice Carl's age is 22
⇒ $x-2y=22$

Annie's age is 13 less than 3 times Carl's age
⇒ $x=3y-13$

Now, we can substitute the fist equation into the second one to solve for y:

$(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35$

Now, substitute y back into the second equation to solve for x:

$x=3y-13\\x=3(35)-13\\x=105-13\\x=92$

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

6 0

2 years ago

a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...​

a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...