Answer:
s = t⁴/108+6t+24
v = t³/27 + 6
Explanation:
Given the equation of acceleration expressed as a = kt²
t is in seconds
To get the velocity, we will integrate the acceleration function
a = kt²
Integrate both sides
a = kt²
v = ∫kt² dt
v = k ∫t² dt
v = kt³/3 + C1..... *
s = ∫kt³/3 dt+ ∫C1 dt
s = kt⁴/12+C1t + C2
At t = 0, S= 24
24 = k(0)⁴/12 + C1(0)+ C2
24 = C2
s = kt⁴/12+C1t + 24
If at t = 6 seconds, s = 96m
Substitute;
96 = k6⁴/12+6C1+ 24 .... **
Also at t = 6, v = 18m/s
Substitute into *
v = kt³/3 + C1..
18 = k6³/3 + C1..... ***
Solve ** and *** simultaneously and get k and C1
96 = k6⁴/12+6C1+ 24
k6⁴/12+6C1+ = 72 × 1
k6³/3 + C1 = 18 × 6
---------------------------
k6⁴/12+6C1+ = 72
k6⁴/3 + 6C1 = 108
Subtract
[(6⁴k)-4(6⁴k)]/12 = 72-108
-3(6⁴k)/12 = -36
6⁴k/12 = 12
6⁴k = 144
k = 144/1296
k = 1/9
Substitute k = 1/6 into k6³/3 + C1 = 18 and get C1
1/6(216/3) + C1 = 18
12+ C1= 18
C1 = 18-12
C1 = 6
Write s in terms of t;
s = kt⁴/12+C1t + 24
s = 1/9t⁴/12+6t+24
s = t⁴/108 + 6t + 24
Write v in terms of t;
v = kt³/3 + C1
v = 1/9(t³/3)+6
v = t³/27 + 6
Two objects are held close together. When they are released, they move toward one another. Which conclusion is supported by this evidence?
O The objects are both positively charged.
O The objects are both negatively charged.
O The objects have no charge
O The objects have opposite charges.
Answer:
The objects have opposite charges.
Explanation:
The object when released are moving towards each other simply because they attract each other.
According to coulombs law of charges, like charges repel and will move away from one another. Unlike charges attracts and moves towards one another Since the objects are coming towards each other, they are of opposite charges.The objects have opposite charges conclusion is supported by this evidence. Option 4 is correct.
What is the charge?When the matter is put in an electromagnetic field, it has an electric charge, which causes it to experience a force. A positive or negative electric charge can exist.
Charges that are similar repel each other, whereas charges that are dissimilar attract each other. The term "neutral" refers to an item that has no net charge.
Two things are held in proximity to one another. When they are let go, they gravitate toward each other. This evidence supports the conclusion that the items have opposing charges.
Hence,option 4 is correct.
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help mee pleaseee :)))
Answer:
See the explanation below.
Explanation:
Solving the first image question:
C ) The resulting force is defined by Newton's second law which tells us that the sum of the forces on a body is equal to the product of mass by acceleration. That is, there must be a force that acts on a body to produce an acceleration. If there is no acceleration it is because there are no external forces or developed by the body. And if there is no acceleration the body moves at a constant speed, in a straight line, so the response is C.
For the second image, we must remember that weight is defined as the product of mass by gravitational acceleration.
W = m*g
where:
W = weight [N]
m = mass [kg]
g = gravity acceleration [m/s²]
Now we have
m = 50 [kg]
ge = Earth gravity acceleration = 10 [m/s²]
gp = Distant planet gravity acceleration = 4 [m/s²]
We = ge*m
We = 10*50 = 500 [N]
Wp =gp*m
Wp = 4*50 = 200 [N]
Therefore the answer is D
For the third image, The mass is always going to be preserved, regardless of where the body or object is in space, its weight is the only one that changes since the gravitational force is modified. That is, the mass on the moon and on Earth will always be the same.
m = 70 [kg]
First, we must calculate the acceleration, by means of the following equation of kinematics.
[tex]v_{f} =v_{o} +a*t[/tex]
where:
Vf = final velocity = 20 [m/s]
Vo = initial velocity = 0 (because stars from the rest)
a = acceleration [m/s²]
t = time = 4 [s]
20 = 0 + a*4
20 = 4*a
a = 5 [m/s²]
Now using Newton's second law which tells us that the total force acting on a body is equal to the product of mass by acceleration.
F = m*a
where:
F = force [N] (units of Newtons)
m = mass = 2 [kg]
a = acceleration = 5 [m/s²]
F = 2*5
F = 10 [N]
The body of Figure D, since a total force of 25 [N] to the left acts on it, in the rest of cases the force is zero or much less than 25 [N]
50 + 40 - 35 - 30 = F
F = 25 [N]
If I travel 5m to the left, and then 2m to the right, what is my distance?
What is my displacement
Answer:
distance is 5+2 = 7
displacement is 5-2 = 3
What type of light is a glow stick
Answer:
self-contained, short-term light-source
Explanation:
Try to explain to someone at home how ovens work to heat pizza, or to heat something. Use language you think will help the person really understand how molecules move as they are heated.
Answer:
The heat is transferred from the metal rod to the pizza dough.
Explanation:
An oven works on electricity. We know that according to the law of conservation of energy, energy is being transferred from one type to some some other type. It is not possible to create or form energy and also to destroy energy.
So in the oven when the oven is switched on to make a pizza, the electrical energy is converted into heat energy which bakes the pizza inside the oven.
When the oven is heated, the molecules inside the metallic rod vibrates and it transfers its kinetic energy to its neighboring atoms. This is how the entire rod gets heated up due to conduction from one point end to another. The heat is then flowed from the rod to the pizza through the surrounding air in the oven. The molecules in contact with the rod transfers the heat to the molecules in the surroundings. This process is called convection process.
This is how the heat is flowed and transferred from the rod to the pizza dough by conduction and convection process. Thus the temperature rises and it heats the pizza.
A track star runs 100 meters in 10 seconds. What is the star's average speed?
Answer:
10m/s
Explanation:
In order to determine the wavelength, you must know the distance from the (2 points)
Select one:
a. trough of one wave to the crest of the next wave
b. midpoint of a wave to the highest point of the next wave
c. crest of the wave to the equilibrium of the same wave
d. the crest of one wave to the crest of the next wave
Answer:
b
Explanation:
Answer:
a
Explanation:
because the crest and trough are the same length when together and they squeeze together making the length shorter for higher frequencies and are spaced apart when lower frequencies occur
All of the following statements concerning drugs and supplements are true EXCEPT: A. Many drugs and supplements are ineffective and expensive. B. Many supplements and drugs are frequently used to improve performance and appearance. C. Supplements and drugs both undergo stringent government testing. D. Supplements and drugs can both cause unwanted side effects. Please select the best answer from the choices provided. A B C D
Answer: C, supplements and drugs both undergo stringent government testing.
Explanation: took the unit test.
hope this helps :)
Answer:
C
Explanation:
Name two hormones produced by the endocrine system and how they work with other organs system to maintain homeostasis
Answer:
insulin and glucagon, to regulate blood-glucose levels
Explanation:
(01.01 LC)
Two objects of the same mass are in a room. At which of the
following distances will the greatest gravitational force be exerted
by one object on another?
O 2 m
O 4 m
O 6 m
O 8 m
Answer:
2m
Explanation:
The closer the objects are, the more gravitational force there is
6. A 2000 kg spacecraft is located 9.2x10 m from the center of the earth. The mass of the earth
is 6.0x1024 kg. What is the force of gravity acting on the spacecraft?
The answer is -i, trust me.
You walk from your bedroom, 25m to the mailbox, and then walk 25m back to your bedroom. What is your total distance? What is your displacement?
Answer:
Distance is 50m
Displacement is 0m
Explanation:
Distance is based on the amount of length you covered, regardless of where you end.
Displacement only considered where you started and where you ended, which is at the same spot in this case. Therefore, no displacement.
What happens to the particles of a liquid when energy is removed from them?
The motion of the particles increases.
The motion of the particles stays the same.
The distance between the particles increases.
The distance between the particles decreases.
Answer:
the motion of the particles stays the same.
Answer:
The motion of the particles stays the same
Explanation:
hope this helps
Matter is made up of very small particles called atoms. Atoms are
Answer:
Matter is made up of very small particles called atoms. Atoms are the basic units of matter and the defining structure of elements.
Hope this helps
A motorcyclist travelling at 30m/s starts to apply his brake when he is 50m from the traffic light that has just turned red .if he reached the traffic light. what is the deceleration
How are the direction of the net force on an object and the direction of the object’s acceleration related?
They're the same direction.
What happened to the maximum height of consecutive swings
Answer:
we need more info
Explanation:
Does the shape of a skateboard affect how will travel?
Answer:
Yes
Explanation:
The shape will affect the friction and the way the skateboard moves.
Identify the object that has the largest moment from the list of objects given below.
a. A fired bullet ,
b. An obese man standing still ,
c. A running horse at its maximum speed,
d. A football player going for a touchdown
Answer:
A fired bullet
Explanation:
A fired bullet is faster than the speed of sound
A fired bullet has the largest momentum from the list of objects given. Hence, Option (a) is correct.
What is momentum?The product of a particle's mass and velocity is its momentum. Momentum is a vector quantity, meaning it has both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on a particle equals the time rate of change of momentum.
Mathematically,
Momentum of the object = mass × velocity.
Though mass of the bullet is less, the velocity of bullet is enormously high compere to horse or a football player. So, the product of mass and velocity, that is, momentum of a fired bullet is largest among the list of objects given.
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Question 12 (Mandatory) (5 points)
What force is required to accelerate a 6-kg object at a rate of 3.5 m/s^2?
please help!!!!!!!!!!
Answer:
B (student 1)
Explanation:
...
A 6 kilogram block in outer space is moving at -100 m/s (to the left). It suddenly experiences three forces as shown below (in the attachment). What is the block’s displacement when it finally comes to rest?
Answer:
x = 1474.9 [m]
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of forces must be equal to the product of mass by acceleration.
We must understand that when forces are applied on the body, they tend to slow the body down to stop it.
So as the body continues to move to the left, it is slowing down. Therefore we must calculate this deceleration value using Newton's second law. We must perform a sum of forces on the x-axis equal to the product of mass by acceleration. With leftward movement as negative and rightward forces as positive.
ΣF = m*a
[tex]10 +12*sin(60)= - 6*a\\a = - 3.39[m/s^{2}][/tex]
Now using the following equation of kinematics, we can calculate the distance of the block, before stopping completely. The initial speed must be 100 [m/s].
[tex]v_{f}^{2} =v_{o}^{2}-2*a*x[/tex]
where:
Vf = final velocity = 0 (the block stops)
Vo = initial velocity = 100 [m/s]
a = - 3.39 [m/s²]
x = displacement [m]
[tex]0 = 100^{2}-2*3.39*x\\x=\frac{10000}{2*3.39}\\x=1474.9[m][/tex]
pls help i will give u brianliest!
Answer:
it's c
Explanation:
is the one that looks like an example of potassium
I took the test!
Scientists use supporting evidence to create an explanation. Explain why using evidence to support your explanations is a good practice. and then answer Compare and contrast how observations and results can be used to support a conclusion to an experiment. please help me due in 12 min 20 points
What safety factors should astronauts be aware of when collecting rock samples on the Moon?
Answer:
Explanation:
Astronauts face a wide range of dangers when maneuvering in space. Collecting rock samples requires breaking apart rocks on the moon's surface, which requires tools. These tools are sometimes small hammers or other times special drills. All of this process means moving and using force to break these rocks apart and every single movement can cause a mistake which can lead to a piece of the suit ripping or a failure in the machinery. Since there is no oxygen on the moon the tiniest failure in the suit can lead to the death of the astronaut. Therefore, having backup safety precautions, and quick repair scenarios is a must when collecting rock samples on the moon.
What is the substance through which sound travels?
Answer:
Sound waves need to travel through a medium such as solids, liquids and gases. The sound waves move through each of these mediums by vibrating the molecules in the matter. The molecules in solids are packed very tightly. Liquids are not packed as tightly.
Explanation:
Hope this helped, Have a Great Day!!
please help i give brainest but i need help asap
Answer:
Surface
Explanation:
Rayleigh Waves—surface waves that move in an elliptical motion, producing both a vertical and horizontal component of motion in the direction of wave propagation. Particle motion consists of elliptical motions (generally retrograde elliptical) in the vertical plane and parallel to the direction of propagation.
Which factor has the greatest effect on the strength of an electromagnet?
A. The position of the ammeter in the circuit
B. The number of coils of wire around the core
C. The type of insulation that covers the wire
D. The distance between the battery and the electromagnet
B. The number of coils of wire around the core
Answer:
B.
Explanation:
The number of coils of wire around the core
WILL GIVE BRAINLIEST!! Please answer
Answer:
B.
Explanation:
Feel free to give brainliest.
Have an outstanding day!
A 782.10 kg car is brought from 7.60 m/s to 3.61 m/s over a time period of 4.23 seconds. What is the average force the car experiences during that time?
Answer:
–735.17 N
The negative sign indicate that the force is acting in opposition direction to the car.
Explanation:
The following data were obtained from the question:
Mass (m) of car = 782.10 kg
Initial velocity (u) = 7.60 m/s
Final velocity (v) = 3.61 m/s
Time (t) = 4.23 s
Force (F) =?
Next, we shall determine the acceleration of the car. This can be obtained as follow:
Initial velocity (u) = 7.60 m/s
Final velocity (v) = 3.61 m/s
Time (t) = 4.23 s
Acceleration (a) =?
a = (v – u) / t
a = (3.61 – 7.60) / 4.23
a = –3.99 / 4.23
a = –0.94 m/s²
Finally, we shall determine the force experienced by the car as shown below:
Mass (m) of car = 782.10 kg
Acceleration (a) = –0.94 m/s²
Force (F) =?
F = ma
F = 782.10 × –0.94
F = –735.17 N
The negative sign indicate that the force is acting in opposition direction to the car.