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
BARSIC [14]
3 years ago
11

The acceleration of a particle is given by a = 2t − 10, where a is in meters per second squared and t is in seconds. Determine t

he velocity and displacement as functions of time. The initial displacement at t = 0 is s0 = −4 m, and the initial velocity is v0 = 3 m/s.
Engineering
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

Answer

given,

a = 2 t - 10

velocity function

we know,

\dfrac{dv}{dt}=a

\dfrac{dv}{dt}=(2t-10)

integrating both side

\int dv =\int (2t -10) dt

 v = t² - 10 t + C

at t = 0   v = 3

so, 3 = 0 - 0 + C

     C = 3

Velocity function is equal to v = t² - 10 t + 3

Again we know,

\dfrac{dx}{dt}=v

\dfrac{dx}{dt}=(t^2-10t + 3)

integrating both side

\int dx =\int (t^2-10t + 3)dt

x = \dfrac{t^3}{3}- 10\dfrac{t^2}{2} + 3 t + C

now, at t= 0 s = -4

-4 = \dfrac{0^3}{3}- 10\dfrac{0^2}{2} + 0 + C

C = -4

So,

x = \dfrac{t^3}{3}- 10\dfrac{t^2}{2} + 3 t-4

Position function is equal to x = \dfrac{t^3}{3}- 10\dfrac{t^2}{2} + 3 t-4

You might be interested in
Does anyone know how to fix this? It's a chromebook and project where I have to try to fix it​
Zielflug [23.3K]

Answer:

Hey I found this on You Tube it may help u a lot

Explanation:

https://youtu.be/ab9BdT6fYJ8

4 0
2 years ago
It describes the physical and social elements common to this work. Note that common contexts are listed toward the top, and less
QveST [7]

Answer:

BCDE

Explanation:

just look at the link, it tells you.

7 0
3 years ago
Read 2 more answers
When we utilize a visualization on paper/screen, that visualization is limited to exploring: Group of answer choices Relationshi
Mila [183]

Answer:

As many variables as we can coherently communicate in 2 dimensions

Explanation:

Visualization is a descriptive analytical technique that enables people to see trends and dependencies of data with the aid of graphical information tools. Some of the examples of visualization techniques are pie charts, graphs, bar charts, maps, scatter plots, correlation matrices etc.

When we utilize a visualization on paper/screen, that visualization is limited to exploring as many variables as we can coherently communicate in 2-dimensions (2D).

6 0
3 years ago
Define Viscosity. What are the main differences between viscous and inviscid flows?
Evgesh-ka [11]

1. Define <em>Viscosity</em>

In physics, <em>Viscosity</em> refers to the level of resistance of a fluid to flow due to internal friction, in other words, viscosity is the result of the magnitude of internal friction in a fluid, as measured by the force per unit area resisting uniform flow. For example, the honey is a fluid with high viscosity while the water has low viscosity.

What are the main differences between viscous and inviscid flows?

Viscous flows are flows that has a thick, sticky consistency between solid and liquid, contain and conduct heat, does not have a rest frame mass density and whose motion at a fixed point always remains constant. Inviscid flows, on the other hand, are flows characterized for having zero viscosity (it does not have a thick, sticky consistency), for not containing or conducting heat, for the lack of steady flow and for having a rest frame mass density

Furthermore, viscous flows are much more common than inviscid flows, while this latter is often considered an idealized model since helium is the only fluid that can become inviscid.

5 0
2 years ago
Which of the following is not a relationship set between elements in a sketch​
Svet_ta [14]

Answer:

The entity relationship (ER) data model has existed for over 35 years. It is well suited to data modelling for use with databases because it is fairly abstract and is easy to discuss and explain. ER models are readily translated to relations. ER models, also called an ER schema, are represented by ER diagrams.

6 0
2 years ago
Other questions:
  • Estudio de caso Teorema de Bayes. Las historias de casos clínicos indican que diversas enfermedades producen sistemas similares.
    14·1 answer
  • What do you think are the advantages and disadvantages of isothermal constant volume high extension cycle? And how efficient do
    13·1 answer
  • Which factors influence changes in consumer demands? check all that apply
    8·2 answers
  • WHO EVER COMMENTS FIRST GETS BRAINLIEST LOL
    15·2 answers
  • Realize the function f(a, b, c, d, e) = Σ m(6, 7, 9, 11, 12, 13, 16, 17, 18, 20, 21, 23, 25, 28)using a 16-to-1 MUX with control
    13·1 answer
  • Giving away free brainliest your welcome​
    15·2 answers
  • If my current directory is ‘AR’ write the path for my current directory
    5·1 answer
  • A rigid vessel with a volume of 10 m3 contains a water-vapor mixture at 400 kPa. If the quality is 60 percent, find the mass. Th
    11·1 answer
  • Characteristics of 3 types of soil​
    10·1 answer
  • Hi gospelgamer10 lol
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!