The position of an object at any time t is given by s(t)=3t4−40t3+126t2−9. i. Determine the velocity of the object at any time t. [5 marks] ii.Does the object ever stop changing? [5 marks] iii.When is the object moving to the right and when is the object moving to the left?
Answer:
1.) V = 12t^3 - 120t^2 + 252t
2.) No
3.) At positive V and negative V
Explanation: Given that the position of an object at any time t is s(t)=3t4−40t3+126t2−9.
1.) To determine the velocity V, we will differenciate the equation above with respect to t.
V = ds/dt
ds/dt = 12t^3 - 120t^2 + 252t
Therefore,
V = 12t^3 - 120t^2 + 252t
2.) The equation above depict an exponential equation which proves that the object never stops changing.
3.) The object moves to the right at positive velocity V and moves to the left at negative velocity V
i. The velocity of the object at any time is V = 12t^3 - 120t^2 + 252t
ii. The object is Not changing.
iii. At positive V and negative V.
Calculation of the velocity:Since the position of an object at any time t is
s(t)=3t4−40t3+126t2−9.
1.
Here the velocity is
V = ds/dt
ds/dt = 12t^3 - 120t^2 + 252t
SO,
V = 12t^3 - 120t^2 + 252t
2.) The equation above represents an exponential equation that proves that the object never stops changing.
3.) The object moves to the right at positive velocity V and moves to the left at negative velocity V
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2. An ammeter registers 2.5 A of current in a wire that is connected to a 9.0 V
battery. What is the wire's resistance?
Answer:
3.6 Ω
Explanation:
Resistance: This is defined as the opposition to the flow of current in an electric circuit. The S.I unit of Resistance is Ohm's (Ω).
From the question above,
Applying Ohm's law
V = IR...................... Equation 1
Where V = Voltage, I = current registered by the ammeter, R = Resistance.
make R the subject of the equation
R = V/I............... Equation 2
Given: V = 9 V, I = 2.5 A
Substitute into equation 2
R = 9/2.5
R = 3.6 Ω
Hence the resistance of the wire = 3.6 Ω
What is the index for a type of oil if light has a velocity of 2.5 x 10^(8) m/s in this
substance?
Answer:
1.2
Explanation:
Data obtained from the question include:
Velocity of light in the oil (V) = 2.5x10^8m/s
Velocity of light in air (C) = 3x10^8m/s
Refractive Index (n) =.?
The rafractive index (n) for the oil is given by:
Rafractive index (n) = Velocity in air (V) /velocity in oil (V)
n = C/V
n = 3x10^8 / 2.5x10^8
n = 1.2
Therefore, the Refractive Index of the oil is 1.2.
What is the purpose of an airbag in a vehicle?
Answer:
Airbags help prevent head, chest and other severe injuries during a car collision. The bag is so designed that it can inflate in less than a second after a car collides; thus, it serves as a cushion and stops the head and chest from hitting the hard surfaces in the car.
Answer:
they prevent injuries and death
A toy rocket is fired vertically into the air from the ground at an initial velocity of 80 feet per second. Find the time it will take for the rocket to return to ground level
Answer: 16.3 seconds
Explanation: Given that the
Initial velocity U = 80 ft/s
Let's first calculate the maximum height reached by using third equation of motion.
V^2 = U^2 - 2gH
Where V = final velocity and H = maximum height.
Since the toy is moving against the gravity, g will be negative.
At maximum height, V = 0
0 = 80^2 - 2 × 9.81 × H
6400 = 19.62H
H = 6400/19.62
H = 326.2
Let's us second equation of motion to find time.
H = Ut - 1/2gt^2
Let assume that the ball is dropped from the maximum height. Then,
U = 0. The equation will be reduced to
H = 1/2gt^2
326.2 = 1/2 × 9.81 × t^2
326.2 = 4.905t^2
t^2 = 326.2/4.905
t = sqrt( 66.5 )
t = 8.15 seconds
The time it will take for the rocket to return to ground level will be 2t.
That is, 2 × 8.15 = 16.3 seconds
2 Points
A student made a model to show the cycling of carbon.
Food → Consumers → Carbon dioxide → Producers > Sugar
Which necessary step in carbon recycling is missing from the student's
model?
A. Raindrops, because plants need water to grow
B. Pollinators, because they spread pollen from plant to plant
C. Decomposers, because they break down organic matter
D. Rocks, because they are broken down to make soil
SUBMIT
Mf b
Answer:
c
Explanation:
The step that has been missing in the carbon cycle has been decomposition, as it breaks the organic matter into simpler carbon that can be absorbed. Thus the correct option is C.
The carbon cycle can be defined as the transfer of carbon in varying forms in the atmosphere. Carbon has been present in the atmosphere in the form of air.
The air has been taken up by the plants for the formation of glucose. The atmospheric carbon has been converted into sugars by photosynthesis.
The sugar has been taken up by the consumers and is released back into the earth from the decomposition of the plants and waste from consumers or by the combustion process.
The carbon cycle can be given as:
Photosynthesis (Food) [tex]\rightarrow[/tex] Consumers
Decomposition [tex]\downarrow[/tex] [tex]\downarrow[/tex] Combustion
Carbon dioxide
The step that has been missing in the carbon cycle has been decomposition, as it breaks the organic matter into simpler carbon that can be absorbed. Thus the correct option is C.
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Which book in the picture below has the most amount of gravitational potential energy?
Book A
Book B
Book C
I would say Book B.
Gravitational Potential Energy is mass * gravity * height.
Gravity is same for the same, it's constant.
Book C is the lowest, so it has less height.
And Book B is clearly the more massive of Book A and Book B, which are the same height.
Book B
When did they start using the word "Scrubbed" for launches?
Answer:
Many speculation exists for why the term 'scrubbed' is used in relation to launches. One of these is that during world war II, when the Air force planned bombing raids. These Air force missions had their briefings done with illustration of the details of the launch and and flight drawn on chalkboards. When some of mission flight takeoffs were canceled (due to bad weather or a malfunction or other reasons) the details were then scrubbed off of the chalkboard. This idea of the mission being scrubbed meaning that it is no longer to be followed through with, proceeded to this modern day rocket and aviation launches.
The appearance of an element is a
Answer:
The correct answer to the following question will be "Element appearance".
Explanation:
Individual elements could even establish a global look that supersedes all components' default configuration as well as appears to apply to something like the factor indicates whereas it makes it appear in illustrations.The appearance of such an element can sometimes be modified around at the individual levels graph or chart.So that the above is the right answer.
Which two conditions would result in the weakest electric force between objects?
Objects are conductors with unbalanced charges
Objects are insulators with balanced charges
Objects are far apart
Objects are close together
The weakest electric force between objects is seen when objects are far apart.
The electric force is the force that exists between two electrically charged bodies. The force could be attractive or repulsive. The electrical force between two bodies is given by Coulomb's law.
The weakest electric force between objects is seen when objects are far apart in obedience to Coulomb's law.
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Answer:
objects are far apart and Objects are insulators with balanced charges
Explanation:
believe me or not, it's right either way
does anyone know any of these?
Answer:
The last question is one Liter (sorry that is the only question I know for now).
Explanation:
Mainly because 1000cm is the same volume and area for an answer from this equation which is the block of wood.
Sorry that that was the only answer I knew :(
I'll see what else I can find and I'll edit this question later and write the rest of the answers-or any of them that I will know later on :)
I hope this answer helps :)
-EarthGirl
Which term is defined as long chains of carbon molecules?
atoms
polymers
bonds
monomers
Answer:
Hope it helps
Explanation:
MONOMERS
Which labels best complete the diagram?
Look at the diagram showing resistance and flow of
electrons.
OX: High resistance
Y: Low resistance
Z: Flow of electrons
X
N
X: Low resistance
Y: Flow of electrons
Z: High resistance
0 X: Flow of electrons
Y: High potential energy
Z: Low potential energy
X: Low potential energy
Y: High potential energy
Z: Flow of electrons
Answer: D
Explanation: Look at the figure, we can conclude that the correct answer is
X: Low potential energy
Y: High potential energy
Z: Flow of electrons
Because electrons flow where there is difference in potential energy. And electrons move from a region of high potential energy to a region of low potential energy.
Since the arrow is pointing to X, that means
Z is the flow of electrons, X is of low potential energy and Y is of high potential energy.
The tire on this drag racer is severely twisted: The force of the road on the tire is quite large(most likely several times the weight of the car) and is directed forward as shown. Is the car speeding up or slowing down? Explain.
Answer: Speeding Up
Explanation:
Force is proportional to the acceleration of an object. The greater the force, the more acceleration will be produced.
When the force on the tire is equal to the weight of the car, the car is reaching a stability as a result of increase in motion.
But when the force of the load on the tire is quite large(most likely several times the weight of the car) and is directed forward, then, the car is at high speed.
consider a silver wire with a radius of 4.0 x 10^-3 meter. determine the cross sectional area of this wire
Answer:
5.024×10⁻⁵ m
Explanation:
A = πr²................ Equation 1
Where A = cross sectional area of the wire, r = radius of the wire, π = pie.
Given: r = 4.0×10⁻³ meter.
Constant: π = 3.14.
Substitute these values into equation 1
A = 3.14(4.0×10⁻³)²
A = 3.14×16×10⁻⁶
A = 50.24×10⁻⁶
A = 5.024×10⁻⁵ m.
Hence the cross sectional area of the wire = 5.024×10⁻⁵ m
The cross sectional area of this wire will be "5.024 × 10⁻⁵ m". To understand the calculation, check below.
Cross-sectional areaAccording to the question,
Radius of silver wire, r = 4.0 × 10⁻³ m
Constant, π = 3.14
We know the formula,
→ Area will be:
A = πr²
By substituting the above values,
= 3.14 × (4.0 × 10⁻³)²
= 3.14 × 16 × 10⁻⁶
= 5.024 × 10⁻⁵ m
Thus the above answer is right.
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What is the velocity of light as it moves from air to diamond.
Answer:
The angles of reflection on both sides of the normal are always equal, so the angle of reflection is 70°. 2. The speed of light in diamond is 1.24 x 108 m/s.
what is an electric current
Which characteristic of crude oil reflects its rate of evaporation?
Answer:
Crude oil is a light oil and is volatile. That's what makes it evaporate very fast.
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
Answer:
Volatility
Explanation:
PLATO - "How quickly it evaporates."
What are the highest parts of a transverse wave called?
What happens to the force between two charges if one of the charges are doubled?
it decreased by a quarter
it quadruples
it doubles
it cuts in half
Answer:
The new force between the charges becomes double of the initial force.
Explanation:
The force acting between charge particles is given by :
[tex]F=k\dfrac{q_1q_2}{r^2}[/tex]
k is electrostatic constant
r is distance between charges
If one of the charges are doubled, then, q₁ = 2q₁
The new force becomes,
[tex]F'=\dfrac{2kq_1q_2}{r^2}\\\\F'=2F[/tex]
So, the new force between the charges becomes double of the initial force.
An element located at the intersection of period 7 and group 2
Answer:
the answer is Ra 88 (radium)
1. Which Law? When you are standing up in a subway train, and the train suddenly stops, your body continues to go forward.
A. Law 1
B. Law 2
C. Law 3
2. Which Law? A swimmer pushes water back with her arms, but her body moves forward.
A. Law 1
B. Law 2
C. Law 3
3. Which Law? After you start your motorcycle, as you give it more gas, it goes faster.
A. Law 1
B. Law 2
C. Law 3
1. Law 1, since there is no other force acting on your body as you stand there, so you will continue to go forward.
2. Law 3, since the swimmer is using opposite forces to propel herself through the water. She generates a force by pushing the water which helps to push her forward.
3. Law 2, since you are giving the motorcycle more energy as a result of the gas being transformed into the energy that helps to accelerate the motorcycle's speed.
5)
Sun spots are believed to be most closely related to the sun's
A)
corona
B)
period of rotation
C)
magnetic field
D)
changing size
Answer:
B
Explanation:
Explain how your battery works. (You may want to look at the Electric Current lesson) What are some possible materials you could use to make your battery?
Answer:
Batteries have the positive end Cathode, and a negative end of anode. There is also an electrolyte that allows electrical charges to go from the cathode to the anode.
-Anode most often is made of zinc
- Manganese dioxide as Cathode.
- the electrolyte contains ions
Explanation:
GIVE THE OTHER DUDE BRAINLIEST
A battery is made up of three parts. The Cathode (positive end +), the Anode (negative end -), and the electrolyte.
What is the battery?Batteries have a negative end called the anode and a positive end called the cathode. Another electrolyte facilitates the transfer of electrical charges from the cathode to the anode.
Between the cathode and anode, electrical charges can move thanks to the electrolyte. The flow of electricity that results from these chemical reactions provides the electrical voltage potential needed to power a circuit.
The following list includes typical battery materials.
- Zinc is typically used to make anodes.
- The cathode is manganese dioxide.
- There are ions in the electrolyte inside and between.
Therefore, three components make up a battery. The electrolyte, the cathode (positive end +), and the anode (negative end -).
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#SPJ2
3
How does and charged object become positive?
loses electrons
6
0
O gains electrons
3
9
loses protons
O gains protons
Explain how an image produced by a convex mirror is similar to an image produced by a concave lens.
Pls answer quick the following is the question
Before 2006, while Pluto was still considered a planet, people used this saying to remember
the nine planet names: “My very excellent mother just sent us nine pizzas.”
Come up with a new sentence to help remember the eight planet names, in order
Answer:
Mother's Visit Evoked My Junior Sister's Unseen Nicenes
Explanation:
Mother's - M - stands for Mercury
Visit - V - Stands for Venus
Evoked - E - Stands for Earth
My - M - stands for Mars
Junior -J - stands for Jupiter
Sister's -S- Stands for Saturn
Unseen -U - stands for Uranus
Niceness - S- stands for Neptune
Which are lymphocytes? T-cells and phagocytes phagocytes and saliva saliva and B-cells B-cells and T-cells
Answer:
B-cells and T-cells
Answer:
it's b-cells and t-cells.
Explanation:
got it right on edge.
A round asteroid has a surface gravity
of 0.0288 m/s^2. If the mass of the
asteroid is 1.10 x 10^18 kg, what is its
radius?
Answer:
159662.5 I think.
Explanation:
mass 1: 1.10
mass 2:10000000000000000000
distance:159662.5
gravitational force: 0.0288
tell me if I did this right.
Which of the following does not require energy to be
accomplished?
Answer:
The answer is B)