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
Nikitich [7]
3 years ago
12

We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However,

acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. To get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx.
Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

An alternative definition for the acceleration ax that can be written in terms of v_x and \frac{dv_x}{dx} is a_x=v_x \frac{dv_x}{dx}

Step-by-step explanation:

We know that :

a_x=\frac{dv_x}{dt}

Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of v_x and \frac{dv_x}{dx}

So, We will use chain rule over here :

a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}  [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}

Hence an alternative definition for the acceleration ax that can be written in terms of v_x and \frac{dv_x}{dx} is a_x=v_x \frac{dv_x}{dx}

You might be interested in
Solve for x with a step by step explanation please<br> (3/5)x+1/4=(3/4)x-2/5
11111nata11111 [884]

Answer:

\frac{3 \times 4}{5 \times 4} x -  \frac{3 \times 5}{4 \times 5} x =  -  \frac{2 \times 4}{5 \times 4}  - \frac{1 \times 4}{5 \times 4}

\frac{12x - 15x}{20}  =  \frac{ - 8 - 4}{20}

/·20

12x-15x = -8-4

-3x= -12. /·(-1)

3x=12

x=4

Step-by-step explanation:

\frac{3}{5} x -  \frac{3}{4} x =  -  \frac{2}{5}  -  \frac{1}{4}

7 0
3 years ago
A shop has this offer.
BARSIC [14]
49x3= 147 so 10 reduction will make tim spend 137. 49x5= 245 so 20 reduction will make Craig spend 225. 225-147= 78 so Craig spends 78£ more than tim. All the offers state “X or Y” meaning it’s one or the other hence the ‘or’. Atleast that’s my interpretation of it.
8 0
2 years ago
*NO 194 39% 13:08 Pilih jawaban yang paling tepat Segitiga PQR dan segitiga XYZ 5 poin merupakan dua segitiga yang kongruen. Bes
Illusion [34]

Answer:

Option d. PQ = YZ

Step-by-step explanation:

<u><em>The question in English is</em></u>

Choose the most appropriate answer. The PQR triangle and the XYZ triangle are two congruent triangles. The angle P = the angle Y and PR = YX. Side pairs of the same length are ... a. PQ = XZ b. QR = YZ c. QR = XY d. PQ = YZ

we know that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

so

we have that

m\angle P=m\angle Y

PR=YX

so

Triangle PQR is congruent with Triangle YZX

That means

<em><u>Corresponding angles</u></em>

m\angle P=m\angle Y

m\angle Q=m\angle Z

m\angle R=m\angle X

<u><em>Corresponding sides</em></u>

PQ=YZ\\QR=ZX\\PR=YX

8 0
3 years ago
Three married couples go to a movie theater. if they sit together in a row of 6 empty seats, find the probability that each woma
Ganezh [65]

Given are three married couples.

So, let us assume there are 3 men and 3 women

They are sitting in a row of 6 empty seats

There is a definite order constraint that each woman will sit left to her husband. The first woman gets 3 options to choose from 3 available seats. The second woman has two options left as already one seat is filled by the first woman. The last woman has one option left. So, it is 3*2*1

So, number of ways is 3! = 3*2*1 = 6 ways.

5 0
3 years ago
PLEASE HELP!! DUE SOON!!
ryzh [129]

Answer:

Do you still need help??

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Jasmine biked 3/8 the distance from her school to her house if she has 10 more miles to go how many miles has she gone
    8·1 answer
  • What is the solution for the equation 2x - 3 = - 8
    10·2 answers
  • PLZ HELP ASAP FEATURES OF A CIRLE FROM EXPANDED EQUATION
    9·1 answer
  • A store sells snakes by weight .A six ounce bag of mixed nuts cost $3.60 will a tow ounce bag of nuts cost more then or less the
    12·1 answer
  • A package is dropped from a helicopter at 1600 feet. The height of the package can be molded by h= -16^2+1600, where h is the he
    13·1 answer
  • What is the slope of the line given by the equation y = x? enter your answer as an integer or fraction in lowest terms.
    9·1 answer
  • An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
    8·2 answers
  • Determine whether the sequence below is arithmetic or geometric, and find the function that will produce any given term in the s
    10·1 answer
  • Please help w part b! right picture this time
    14·1 answer
  • Does the point (–1, 5) satisfy the equation y = 7x?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!