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
timofeeve [1]
3 years ago
9

Given () = −^3 + 2^2 +(3/2) be the position of a particle moving along the x-axis at time t. At what time will the instantaneous

velocity equal the average velocity over the time interval [0, 4]
Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Answer:

5.266 secs

Step-by-step explanation:

Lets assume ; p(t) = t^-3 + 2^2 + ( 3/2 ) is the particle position along x-axis

time interval [ 0, 4 ]

Average velocity = Displacement / time

                            = p( b ) - p( a ) /  b - a -------- ( 1 )

where a = 0 , b = 4 ( time intervals )

Back to equation 1

Average velocity = [ ( 4^-3 + 4 + (3/2) ) - ( 0 +  4 + (3/2) ) ] / 4

                             = 3.9 * 10^-3 ----- ( 2 )

Instantaneous velocity = d/dx p(t)

                                      = - 3/t^4  ------ ( 3 )

To determine the time that the instanteous velocity = average velocity

equate equations (2) and (3)

3.9*10^-3 = - 3 / t^4

t^4 = - 3 / ( 3.9 * 10^-3 ) = - 769.231

hence t = \sqrt[4]{- 769.231 } = 5.266 secs

we ignore the negative sign because time can not be in the negative

You might be interested in
4y + 4 = 2y - 10 <br> can somebody break this down to solve it ? please
vredina [299]

Answer:

y=-7

Step-by-step explanation:

first, you want variables on one side, numbers on the other side of the equation.

4y+4=2y-10

*plus ten on both side to get rid of -10*

4y+14=2y

*minus 4y on each side to get rid of 4y*

14=-2y

*divide by -2 on each side to get the value of just one y itself*

y=-7

8 0
3 years ago
Can someone help me with this math homework please!
Cerrena [4.2K]

Therefore, f(c) = 3c+5

OPTION B is the correct answer

5 0
3 years ago
Read 2 more answers
In which number does the 5 represent a value of 10 times the value represented by 5 in 35,187
Dvinal [7]

Answer:

well, there are no multiple choice options, but the answer is whichever number has a 5 in the ten thousands place like 56,789

Step-by-step explanation:

6 0
3 years ago
76 + 4= add the ones and the tens. Do you regroup? yes or no
nikklg [1K]
76 + 4 is 80... don't know what you're asking
6 0
3 years ago
Write a rational function with no vertical asymptotes and no holes. Please explain.
Ksju [112]

ANSWER

f(x) =  \frac{ {x}^{2} }{ {x}^{2} + 1 }

EXPLANATION

We write the function such that both the numerator and the denominator are prime.

An example of a rational function with no vertical asymptotes and no holes is

f(x) =  \frac{ {x}^{2} }{ {x}^{2} + 1 }

For the above rational function, the denominator is never zero, so there are no vertical asymptotes.

Also the highest common factor for the numerator and the denominator is 1 so there are no holes.

4 0
3 years ago
Other questions:
  • What is the third quartile of these numbers?
    5·1 answer
  • Gloria talked on her cell phone for 320 minutes the first month,243 minutes the second month,and 489 minutes the third month.Her
    11·1 answer
  • 2 more than a certain number is 15 less than the product of 7/8 and the number
    13·1 answer
  • The perimeter of a rectangle is 30meter. If the length is twice the width, what is the width?
    9·1 answer
  • The graph of y = sine (x minus StartFraction 3 pi Over 2 EndFraction) is the graph of the y = sin(x) shifted in which direction?
    13·2 answers
  • Yolanda is going to watch a movie in her collection. She has 3 action movies, 4 comedies, and 5 dramas.
    6·2 answers
  • Does the transformation represent a dilation? Why or
    7·1 answer
  • Simplify by combining like terms. Type the terms in alphabetical order. -7a-2y+7+2y+5a=
    12·1 answer
  • The amount of wall space in his bedroom will determine how much paint he needs.which one is the independent variable and which o
    11·2 answers
  • Geoff wants to make a 100 ml of 5% alcohol solution mixing a quantity of a 2% alcohol solution with a 7% alcohol solution. What
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!