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
tigry1 [53]
2 years ago
6

Particle x moves along the positive x-axis so that its position at time t ~ 0 is given by x(t) = 5t 3 - 9t 2 + 7. at what time t

~ 0 is particle x farthest to the left? justify your answer
Advanced Placement (AP)
1 answer:
Arada [10]2 years ago
5 0

Answer: 1.2 seconds

Explanation:

$$At the farthest point the velocity of particle will be zero. \ Differentiating the given equation of position and equating it with zero:$$\begin{aligned}x(t) &=5 t^{3}-9 t^{2}+7 \\x^{\prime}(t) &=15 t^{2}-18 t \\0 &=15 t^{2}-18 t \\t(15 t-18) &=0 \\t &=0 \\t &=\frac{18}{15}=1.2 \mathrm{~s}\end{aligned}$$

$$Thus, at $t=1.2 \mathrm{~s}$ particle will be at the farthest point. \\\\\underline{Justification:}\\The particle moves towards the left from $t \in[0,1.2)$. After that particle keeps moving in  the positive x-direction.

You might be interested in
In the period following the Second World War, cities in which of the following regions were profoundly shaped by government cent
ikadub [295]
Government central-planning ministries are a prominent feature of postwar Soviet communism. 

So the best answer is B. Easter European cities like Minsk, Kiev, Bucharest, and Warsaw all found themselves within the Soviet Union, or within the Soviet sphere of influence, after the war. Since many of these cities had also suffered widespread destruction during the war, they required rebuilding, which was often undertaken according to the socialist ideals promoted by Soviet communism.

A is wrong because, although many Latin American countries experienced aggressive communist insurgencies or takeovers, the communist presence in Latin America rarely resulted in the <span>centralized re-planning of cities.
</span>
C is wrong because North America had no meaningful communist presence, and certainly no communist-guided central planning of cities. Same goes for Western Europe, which rules out D.

7 0
3 years ago
How many bones are in the human body
Vaselesa [24]
There are 206 bones in our human body!
8 0
3 years ago
Read 2 more answers
Ubiór i wygląd zewnętrzny Bernarda Zygiera ( syzyfowe prace)
Vinil7 [7]
Ubidor anf wihger scholden
5 0
3 years ago
What is the arrow on the image pointing to?
Ray Of Light [21]

Answer:

A dot. Or the solution to the system of equations.

Explanation:

(6, 6)

4 0
3 years ago
An Incident Commander's scope of authority is derived from existing laws, agency policies, and/or ______. A. Outgoing Incident C
lana [24]

Answer:

Option D is the right answer

Explanation:

An Incident Commander's scope of authority is derived from existing laws, agency policies, procedures, and/or through a delegation of authority from the agency administrator or elected official.

Within his/her scope of authority, the Incident Commander establishes incident objectives, then determines strategies, resources, and ICS structure based on the incident objectives.

The incident commander is the person responsible for all aspects of an emergency response; including quickly developing incident objectives, managing all incident operations, application of resources as well as responsibility for all persons involved.

The role of incident commander may be assumed by senior or higher qualified officers upon their arrival or as the situation dictates. Even if subordinate positions are not assigned, the incident commander position will always be designated or assumed.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Where might someone use "track changes"
    15·1 answer
  • I just need ab easy way to do notes fast and not have a panic attack.​
    12·2 answers
  • What motivates Odysseus to reveal his name and put his
    12·2 answers
  • Do you have answer to USA Test prep​
    15·2 answers
  • The developments described in the excerpt most directly reflect which of the
    7·1 answer
  • WILL MARK BRAINLIEST!
    11·1 answer
  • Which object is luminescent?
    7·2 answers
  • Help please this is our homework
    9·2 answers
  • Jor bieden jay mall jow mama​
    9·1 answer
  • Why are most natural monopolies established
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!