1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zimovet [89]
3 years ago
11

A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, s(0) = 8, v(0) = −7

Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0
If you mean by a(t)=2t+9 is the acceleration function then we integrate...

v(t)=2t^2/2+9t+c where c is vo and we are told that that is -7 so

v(t)=t^2+9t-7 integrating again we get:

s(t)=t^3/3+9t^2/2-7t+c where c is the initial position which is 8 so

s(t)=t^3/3+9t^2/2-7t+8  which neatened up as

s(t)=(2t^3+27t^2-42t+48)/6
You might be interested in
8% of a number is 20
Gnoma [55]
To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
20 x 100 (when simplified, we get 2000).

Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
8x.

Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
2000 / 8 = 250.

x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!
3 0
3 years ago
Read 2 more answers
Which of the following are polynomials?
Pavel [41]
B and D are the correct choices
4 0
3 years ago
Read 2 more answers
I don’t understand what I’m suppose to do. Can someone please help?
Ksju [112]

From the 64 values in the table on the left, count how many fall within the given ranges under the "classes" column in the table on the right. The "frequency" is the number of values in the data that belong to a given "class".

For example, "< -16.0" means "values below -16.0". Only one number satisfies this: -16.2 (first row, third column). So the frequency for this class is just 1.

Then for the range "-15.9 - 13.0", which probably means "numbers between 15.9 and -13.0, inclusive", the frequency is 0 because every number in the table is larger than the ones in this range.

And so on.

3 0
3 years ago
Draw the graph of 3x+2y+6
Elanso [62]

Answer:

cymath.com

Step-by-step explanation:

you can solve other equations there as well

7 0
3 years ago
Read 2 more answers
What is the smallest positive prime factor of 2017^2019 +2019^2017​
kogti [31]

Answer:

17

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • the marked price of a mobile is 40% above the cost price. when it is sold allowing 30% discount on the marked price, there is a
    6·1 answer
  • What is 6/15 as a decimal
    6·2 answers
  • The perimeter of a square is 4s, where s is the length of one side.
    5·1 answer
  • What is the square root of 6144
    11·2 answers
  • There are 9 people at a sleepover. Each
    9·2 answers
  • Write the equation of a line in slope intercept form.<br> (-3,-9 ) and (2,6)
    15·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    13·2 answers
  • . Luong collects $1,300 from a customer in 2020 for services to be performed in 2021. select a type of adjusting entry 2. Luong
    9·1 answer
  • The classroom has 20 students and
    5·2 answers
  • A ship is stationary at sea.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!