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
Varvara68 [4.7K]
3 years ago
11

Given the following velocity functions of an object moving along a line, find the position function with the given initial posit

ion v(t)=2t+4
Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer:

The position of the particle as a function of times is given by

x(t)=t^{2}+2t+x(o)  where x(0) is the position of the particle at t = 0 secs.

Step-by-step explanation:

Give that

v(t)=2t+4

we know that

v(t)=\frac{dx(t)}{dt}\\\\\therefore dx(t)=v(t)dt\\\\\int dx(t)=\int v(t)dt\\\\x(t)=\int v(t)dt

Applying values we get

x(t)=\int (2t+4)dt\\\\x(t)=\int 2tdt+\int 4dt\\\\x(t)=\frac{2t^{2}}{2}+4t+c

here 'c' is the constant of integration which represents the position of the particle at time t = 0 secs.

Thus we have

x(t)=t^{2}+2t+x(o)

You might be interested in
Simplify: 3•6 - 42 ÷ 2
Romashka [77]

Answer:

-3

Step-by-step explanation:

3 x 6 - 42/2 =

18 - 42/2 =

18 - 21 =

-3

6 0
3 years ago
Read 2 more answers
Orlando invests $1000 at 6% annual interest compounded daily and Bernadette invests $1000 at 7%
Montano1993 [528]

Answer:

6 Years

Step-by-step explanation:

Orlando invests $1000 at 6% annual interest compounded daily.

Orlando's investment = A=1000(1+\frac{0.06}{365})^{(365\times t)}

Bernadette invests $1000 at 7% simple interest.

Bernadette's investment = A = 1000(1+0.07×t)

By trail and error method we will use t = 5

Bernadette's investment will be after 5 years

1000(1 + 0.07 × 5)

= 1000(1 + 0.35)

= 1000 × 1.35

= $1350

Orlando's investment after 5 years

A=1000(1+\frac{0.06}{365})^{(365\times 5)}

   = 1000(1+0.000164)^{1825}

  = 1000(1.000164)^{1825}

  = 1000(1.349826)

  = 1349.825527 ≈ $1349.83

After 5 years Orlando's investment will not be more than Bernadette's.

Therefore, when we use t = 6

After 6 years Orlando's investment will be = $1433.29

and Bernadette's investment will be = $1420

So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.

8 0
3 years ago
Expalin what the vertical line test is and it used ?
katovenus [111]

Answer:

You use the vertical line test to see if a function is relation is a function

Step-by-step explanation:

A function is a relation with only one output for every input. That means that if the x value and two y values, it is not a function.

5 0
3 years ago
Read 2 more answers
3. What are the domain and range of (x) = 4* ?<br> Domain: <br><br> Range:
Natali [406]
I think you can do that on photo math
6 0
2 years ago
In a game, Ben’s score was 3 times Sam’s score. Together they scored 80 points. Find their scores.
Ket [755]

Answer:

PROBABLY ABOUT 27 OR 26.6666666667

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is 11 divided by 7?
    8·2 answers
  • Line BC has an equation of a line y = 2x + 3, and line EF has an equation of a line y = negative one over 2x + 4. These two equa
    12·2 answers
  • Need help please on geometry
    11·2 answers
  • -2.5 + (-3.5)<br> Which number line shows the sum?
    9·2 answers
  • If you place a 24-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bot
    5·2 answers
  • Tyler ate x fruit snacks, and Han ateless than that. Write an equation to represent the relationship between the number Tyler at
    5·1 answer
  • 60 milligrams = ______ km
    11·1 answer
  • The length of a rectangular patio is 4 feet less than three times it's width. The area of the patio is 160 square feet. Find the
    10·1 answer
  • Can u help me on this?
    15·1 answer
  • Giveaway 100 POINTS!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!