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
iragen [17]
3 years ago
9

A particle moves along the x-axis with velocity given by v(t)=3t2+6t for time tâ¥0. If the particle at position x=2 at time t=0,

what is the position of the particle at time t=1?
a) 4
b) 6
c) 0
d) 11
e) 12
Physics
2 answers:
sergey [27]3 years ago
8 0

Answer:

b) 6

Explanation:

Given

v(t)=3t²+6t

X(0) = 2

X(1) = ?

Knowing that

v(t)=3t²+6t = dX/dt

⇒ ∫dX = ∫(3t²+6t)dt

⇒ X - X₀ = t³ + 3t²

⇒ X(t) = X₀ + t³ + 3t²

If  X(0) = 2

⇒  X(0) = X₀ + (0)³ + 3(0)² = 2

⇒  X₀ = 2

then we have

X(t) = t³ + 3t² + 2

when

t = 1

X(1) = (1)³ + 3(1)² + 2

X(1) = 6

lianna [129]3 years ago
8 0

Answer:

The answer is B) 6

Explanation:

because im smrt

You might be interested in
4. Consider a 1 kg block is on a 45° slope of ice. It is connected to a 0.4 kg block by a cable
icang [17]

If an icy surface means no friction, then Newton's second law tells us the net forces on either block are

• <em>m</em> = 1 kg:

∑ <em>F</em> (parallel) = <em>mg</em> sin(45°) - <em>T</em> = <em>ma</em> … … … [1]

∑ <em>F</em> (perpendicular) = <em>n</em> - <em>mg</em> cos(45°) = 0

Notice that we're taking down-the-slope to be positive direction parallel to the surface.

• <em>m</em> = 0.4 kg:

∑ <em>F</em> (vertical) = <em>T</em> - <em>mg</em> = <em>ma</em> … … … [2]

<em />

Adding equations [1] and [2] eliminates <em>T</em>, so that

((1 kg) <em>g</em> sin(45°) - <em>T </em>) + (<em>T</em> - (0.4 kg) <em>g</em>) = (1 kg + 0.4 kg) <em>a</em>

(1 kg) <em>g</em> sin(45°) - (0.4 kg) <em>g</em> = (1.4 kg) <em>a</em>

==>   <em>a</em> ≈ 2.15 m/s²

The fact that <em>a</em> is positive indicates that the 1-kg block is moving down the slope. We already found the acceleration is <em>a</em> ≈ 2.15 m/s², which means the net force on the block would be ∑ <em>F</em> = <em>ma</em> ≈ (1 kg) (2.15 m/s²) = 2.15 N directed down the slope.

8 0
3 years ago
Define one ohm resistance​
Crazy boy [7]

Answer:

1 Ohm is defined as the resistance of a conductor with a potential difference of 1 volt applied to the ends through which 1-ampere current flows. Ohms is the SI unit of electrical resistance

4 0
3 years ago
A scientist collected the following data, which show how the pressure of water vapor changes with temperature.
den301095 [7]

Answer:

Make a graph for better visual representation.

Explanation:

Presenting data like that would require someone to see the increase. The best way would be a graph to be shown, to really show the impact by the line going up in the graph.

4 0
3 years ago
Read 2 more answers
How are length and volume alike
SIZIF [17.4K]

You used lengths to calculate the volume.length is considered one dimensional.while volume is considered 3 dimensional.you used 3 individual dimensions their numerical lengths to find volumes of three dimensional figures.

3 0
4 years ago
Read 2 more answers
A 1.0 kg mass attached to a spring is pulled back horizontally across a table so that the potential energy of the system is incr
saw5 [17]
-- If it's all happening horizontally, then gravity is not involved. 
Only the spring is.

-- If there's no friction, then total energy is conserved.

-- If you put 190J of energy into the spring by moving the mass,
and there's only 55J of potential energy in the spring now, then
the other 135J of energy is in the kinetic energy of the mass and
the moving parts of the spring.
3 0
3 years ago
Other questions:
  • Physical fitness is related to our ability to carry out daily tasks without being too tired or sore. Please select the best answ
    9·2 answers
  • An electron with a charge of -1.6 × 10-19 coulombs experiences a field of 1.4 × 105 newtons/coulomb. What is the magnitude of th
    12·2 answers
  • Shakina and Juliette set the car's initial velocity to zero and set the acceleration to +1.2 m/s2, then clicked "start." Answer
    14·1 answer
  • What is the slant of a line on a graph called
    8·1 answer
  • What important discovery was made by edmond halley and alexis clairaut, using newton's ideas of mathematics and gravity?
    5·2 answers
  • an ice skater applies a horizontal force to a 20.-kilogram block on frictionless, level ice, causing the block to accelerate uni
    11·1 answer
  • Use the balanced equation of a nitrogen cycle pathway below to support the conservation of matter and energy.
    8·1 answer
  • the velocity of a car changes from 20 m/s east to 5 m/s east in 5 seconds. What is the acceleration of the car?
    7·1 answer
  • A continental polar air mass forms in
    6·1 answer
  • Select the social reforms that Sociology has influenced in some way.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!