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
Natasha_Volkova [10]
3 years ago
8

A particle's position is r⃗ =(ct2−2dt3)i^+(2ct2−dt3)j^, where c and d are positive constants. Find an expression for the time t

> 0 when the particle is moving parallel to the x-axis.
Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

t=4c/3d. For t>0

Step-by-step explanation:

Since we have to find an expression for the time t > 0 when the particle is moving parallel to x-axis, that implies there is no y component of velocity.

Hence,

Y component of velocity=0

We will find the y component of velocity via differentiating y-coordinate.

y= 2ct2−dt3

Differentiating y coordinate,

dy/dt = 4ct - 3dt²

Since y component of velocity is 0.

4ct - 3dt²=0

(4c - 3dt)t = 0

This is valid

when t=0 and when 4c-3dt=0.

4c=3dt

t=4c/3d

Since we are only asked for t>0, there is only one instant when the particle is moving int x-direction so the right answer is:

t =4c/3d

You might be interested in
What is 1 3/10 plus 1/4
patriot [66]

Answer:

1 11/20

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which term best describes two events that together include all outcomes in thesample space
stepan [7]
The term that best describes two events that together include all outcomes in the sample space is complementary. 
8 0
3 years ago
If skim milk is 87% water, how many cups of skim milk contain 3.58 cups of water?
Olegator [25]

Step-by-step explanation:

there are 3.48 cups of water in 4 cups of skim milk

hope it helps!

7 0
3 years ago
Read 2 more answers
Round 0.002353 to two significant figures.
8_murik_8 [283]
The given number above, 0.002353, may be rounded to only two significant figures by adding 1 to the 3 which is in the fourth place of the decimal position. This becomes, 0.0024. Addition of 1 was done because the number that follows 3 in the original number is 5. 
4 0
4 years ago
How do you divide and multiply and algebra and fractions help please
ss7ja [257]
So divide factions ex: 6/2 divide 3/2 will bring down the first faction 6/2 then the always flip the second faction 2/3 to make it 2/3 the you have 6/2 divide 2/3, now you multiple 6/2 times 2/3 so how many times does 3 go in6 so the 3 will be 1 and the 6 will be 2 now 2 and 2 both will come 1 because 2 goes in both of them 1 time and the answer is 2/1
3 0
4 years ago
Other questions:
  • jim pays $75 pqe minth for a phone plan plus an additional 0.30 per minute. write an expression representing the cost per month
    6·1 answer
  • Gradinize cheese costs $1.28 per pound. How much would you pay for 7 pounds ?
    5·1 answer
  • Swati wants to distribute sweets to some of her friends.
    5·1 answer
  • What is the exponent for the expression 3x3x3x3x3x3?
    13·2 answers
  • WILL GIVE BRAINLIEST!!!
    11·2 answers
  • As fast as possible pls help someone !
    9·1 answer
  • Ill mark brainlist plss help
    7·1 answer
  • 42 divided by 6 plus 5 by the power of 2
    15·2 answers
  • Ms. Nailor's daughter received $25
    10·1 answer
  • The radius of a circle is 7 miles. What is the circle's area?<br> Use 3.14 for .
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!