Household electricity in a particular country is supplied in the form of alternating current that varies from 180 V to −180 V with a frequency of 100 cycles per second (Hz). The voltage is thus given by the equation E(t) = 180 sin(200πt) where t is the time in seconds. Voltmeters read the RMS (root-mean-square) voltage, which is the square root of the average value of [E(t)]2 over one cycle. (a) Calculate the RMS voltage of household current in this particular country. (Round your answer to the nearest whole number of volts.) V (b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A needed for the voltage E(t) = A sin(200πt). (Round your answer to the nearest whole number of volts.) A = V
Answer:
a. 127 V b 311 V
Explanation:
a. The RMS value of E(t) = 1/T∫[E(t)]². E(t) = 180 sin(200πt). Since the frequency f = 100 cycles per second, the period, T = 1/f = 1/100 = 0.01 s.
So, 1/T∫[E(t)]² = 1/T∫[180 sin(200πt)]² = 180²/0.01∫sin(200πt)]²
Using trigonometric identity sin²Ф = (1 - cos2Ф)/2 where Ф = ωt
1/T∫[E(t)]² = 180²/0.01∫(1 - cos2Ф)/2. We integrate from 0 to T, , we have
1/T∫[E(t)]² = 180²/(0.01 × 2)(t - sin2ωt/2ω)
1/T∫[E(t)]² = 180²/(0.02[(T - (sin2π)/(2 × 200π) ) - (0 - [sin(2 × 0)]/(2 × 200π))
1/T∫[E(t)]² = 180²/(0.02)[(0.01 - 0)
1/T∫[E(t)]² = 180²/2
E(t)RMS = √1/T∫[E(t)]²
= √180²/2
= 180/√2
= 127.28 V
= 127 V to the nearest whole number
b. Since E(t)(RMS) = A/√2 where A = voltage amplitude and E(t)(RMS) = 220 V,
A = √2E(t)(RMS) =
√2 × 220 V
= 311.13 V
= 311 V to the nearest whole number
How do nutritional needs change when a person increases their activity level to gain muscle mass?
When a person increases their activity level to gain muscle mass, their nutritional needs change.
How utritional needs change when a person increases their activity level to gain muscle mass?The key changes include increasing protein intake to support muscle growth and repair, consuming a slight caloric surplus to provide energy for muscle development, ensuring sufficient carbohydrate intake for fuel, including healthy fats for overall health, staying hydrated, and considering essential micronutrients.
Individual variations exist, so seeking personalized guidance from a professional is recommended.
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what units of measurement measures both velocity and speed
Answer:
\(metre \: per \: second\)
Explanation:
Velocity is a derived quantity and the S.I unit is metre per second.Speed is also a derived quantity which is has the S.I unit to be metre per second.
A ball is allowed to fall freely from certain height it covers a distance of 1st sec equal to?
The distance covered by a ball in the first second of free fall is approximately 4.9 meters.
When an object falls freely under the influence of gravity, it experiences constant acceleration. In the case of Earth's gravity, the acceleration due to gravity is approximately 9.8 m/s². This means that the velocity of the falling object increases by 9.8 meters per second every second.
To determine the distance covered by the ball in the first second, we can use the equations of motion for uniformly accelerated motion.
The equation that relates distance (d), initial velocity (u), acceleration (a), and time (t) is:
d = ut + (1/2)at²
In this case, the initial velocity is zero (as the ball starts from rest), the acceleration is 9.8 m/s², and we want to find the distance covered in the first second (t = 1 second).
Plugging in the values:
d = 0 * 1 + (1/2) * 9.8 * (1)^2
d = 0 + (1/2) * 9.8
d = 0 + 4.9
d = 4.9 meters
Therefore, the ball covers a distance of approximately 4.9 meters in the first second of free fall.
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Three boxes, A, B, and C, are placed on a frictionless surface as shown in the diagram below. If you push on box A with a force of 8.25 N, find the contact force (in N) between each pair of boxes. Here mA = 6.25 kg, mB = 3.25 kg, and mC = 1.50 kg. contact force between A and B N contact force between B and C N
The contact force (in N) between each pair of boxes is mathematically given as
F_{ab} = 3.56 N
F_{bc} = 1.2 N
What is the contact force (in N) between each pair of boxes.?Generally, Any force that is generated as a consequence of two objects coming into touch with one another is referred to as a contact force. Contact forces are present everywhere and are the cause of the vast majority of macroscopic groupings of matter's obvious interactions with one another.
In conclusion, The equation for is Acceleration of the system is mathematically given as
a = 8.25 / (5.85 + 2.95 + 1.50)
a= 0.8 m/s^2
Therefore
F_{ab} = (Mb + Mc)*a
F_{ab} = (2.95 + 1.50) * 0.8
F_{ab} = 3.56 N
F_{bc} = Mc * a
F_{bc}= 1.5 * 0.8
F_{bc} = 1.2 N
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What is the result of two displacement vectors having opposite directions?1) The resultant is the sum of the two displacements, having the same direction as the smaller vector.2) The resultant is the sum of the two displacements, having the same direction as the larger vector.3) The resultant is the difference of the two displacements, having the same direction as the smaller vector.4) The resultant is the difference of the two displacements, having the same direction as the larger vector.
Answer:
4) The resultant is the difference of the two displacements, having the same direction as the larger vector.
Explanation:
Let's see an example of the result of two vectors that have opposite directions.
Since A and B have opposite directions, the resultant is the difference between the two displacements and it has the same direction of A, the larger vector. In this case, A has a displacement of 3 and B has a displacement of 2, so the resultant has a displacement of 1 because:
3 -2 = 1
Therefore, the answer is:
4) The resultant is the difference of the two displacements, having the same direction as the larger vector.
The apparent weight of a passenger in an elevator is greater than his true weight. Which one of the following is true? The elevator is either moving upward with an increasing speed or moving downward with a decreasing speed. The elevator is either moving upward with a decreasing speed or moving downward with an increasing speed. The elevator is either moving upward with an increasing speed or moving downward with an increasing speed. The elevator is either moving upward with a decreasing speed or moving downward with a decreasing speed. The elevator is either moving upward with an increasing speed or moving upward with a decreasing speed.
Answer:
D
Explanation:
The elevator is either moving upwards with an increasing speed, or moving downwards with a a decreasing speed.
The statement above is true because the direction at which the elevator accelerates, or decelerates(which is negative acceleration anyway), is of paramount importance. If the acceleration is towards the upside, the apparent weight does becomes greater than the true weight. While on the other hand, if the acceleration points towards the downside, then the apparent weight does becomes less than the true weight.
what is magnetic flux thru a closed surface
Answer: Zero
Explanation:
Gauss's law states that the total magnetic flux through a closed surface is equal to zero. Because the magnetic field lines are in continuous loops, so all closed surfaces have magnetic field lines coming out, hence the net magnetic flux is zero.
The kinematic viscosity of oxygen at 40 °C and a pressure of 160 kPa is 0.104 stokes. Determine the dynamic viscosity of the oxygen at this temperature and pressure. (Ro₂ = 0.2598 kPa.m³/kg.K)
The dynamic viscosity of oxygen at 40°C and 160 kPa is 64.17 × 10⁻⁶ Pa.s.
The dynamic viscosity of a fluid is equal to its kinematic viscosity multiplied by its density.
Given:
Kinematic viscosity of oxygen at 40°C and 160 kPa = 0.104 stokes
Density of oxygen at 40°C and 160 kPa = (160000 Pa / 0.2598 kPa.m³) = 616.55 kg/m³ (using ideal gas law)
Using the formula:
Dynamic viscosity = Kinematic viscosity * Density
We get:
Dynamic viscosity of oxygen = 0.104 stokes * 616.55 kg/m³ = 64.17 × 10⁻⁶ Pa.s
Therefore, the dynamic viscosity of the oxygen at 40°C and 160 kPa is 64.17 × 10⁻⁶ Pa.s.
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Which of the following places is not in the life zone of the earth
Answer: The concept of a "life zone" on Earth can be interpreted in various ways, but assuming you're referring to habitable regions for life as we know it, there isn't a specific place that is completely outside the life zone. Life has shown remarkable adaptability and can be found in a wide range of environments, including extreme cold, hot, acidic, or high-pressure conditions. However, there are certain places on Earth where life is less likely or where it is more challenging for organisms to thrive, such as:
High-altitude mountaintops: As you move higher in elevation, the conditions become harsher, with lower temperatures, reduced oxygen levels, and increased UV radiation. While some organisms can survive at high altitudes, the number and diversity of species tend to decrease.
Deserts: Deserts are characterized by low precipitation and extreme temperatures. While there are desert-adapted plants and animals that can survive in these environments, the scarcity of water and extreme aridity make it challenging for many organisms to thrive.
Polar regions: The Arctic and Antarctic regions have extremely cold temperatures, limited sunlight during winter months, and harsh conditions. However, even in these extreme environments, life can be found, such as cold-adapted organisms like polar bears, penguins, and specialized bacteria.
it's important to note that even in these challenging environments, life can still exist in various forms, showcasing the resilience and adaptability of organisms.
the force F is given in terms of time 'y'all and displacement 'X' by the equation F=AsinBx+CsinDt. what is the dimension of D/B?
Answer:
D/B ahs units of Length over Time
Explanation:
Notice that B is multiplying "x" (displacement) as argument of the sine function, therefore it has to have units of the reciprocal of Length.
Also the constant D is multiplying "t" as argument of the sine function, and as such, it must have units of the reciprocal of time.
Therefore, the quantity D/B must have units of Length over Time.
The object shown below (length = 8 m) remains completely stationary, despite the fact that three forces act on it. Forces 1 and 3 act at either end,
while force 2 acts 1/4 of the way from the left end.
TIL
=
14
2
If the size of force 3 is 3 N, then how large must the other two forces be?
F₁
N
F₂ =
N
(For excellent practice, see if you can also get these answers using different pivots!)
43
The forces would be: Force 1 is 1.875 N and Force 2 is 1.5 N.
How to solve for the forceSince the object is stationary, the net force acting on it must be zero. We can use the principle of moments to find the magnitude of forces 1 and 2.
Taking moments about the left end of the object, we have:
Force 1 x 8 m = Force 2 x 2 m + Force 3 x 4 m
Since Force 3 is given as 3 N, we can substitute that in and solve for Force 1 and Force 2:
Force 1 x 8 m = Force 2 x 2 m + 3 N x 4 m
Force 1 = (Force 2/2) + 12/8 N
Substituting this expression for Force 1 into the equation above:
(Force 2/2 + 12/8 N) x 8 m = Force 2 x 2 m + 3 N x 4 m
Simplifying and solving for Force 2:
4 Force 2 + 3 N x 2 = 8 Force 2 + 12 N
4 Force 2 = 6 N
Force 2 = 1.5 N
Substituting this value of Force 2 back into the equation for Force 1:
Force 1 = (1.5 N / 2) + 12/8 N = 1.875 N
Therefore, Force 1 is 1.875 N and Force 2 is 1.5 N.
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If we put negative charge between two similar positive charges then what is it's equilibrium? And how?
Your question has been heard loud and clear.
Well it depends on the magnitude of charges. Generally , when both positive charges have the same magnitude , their equilibrium point is towards the centre joining the two charges. But if magnitude of one positive charge is higher than the other , then the equilibrium point will be towards the charge having lesser magnitude.
Now , a negative charge is placed in between the two positive charges. So , if both positive charges have same magnitude , they both pull the negative charge towards each other with an equal force. Thus the equilibrium point will be where the negative charge is placed because , both forces are equal , and opposite , so they cancel out each other at the point where the negative charge is placed. However if they are of different magnitudes , then the equilibrium point will be shifted towards the positive charge having less magnitude.
Thank you
Answer:
it will be positive
Explanation:
In recent years, assistive technologies have been developed to give people with disabilities equal access to resources. Examples include wheelchair ramps, voice-recognition software, and screen readers. Which statement best explains how societal demand guided the development of these technologies?
The statement which best explains how market forces supply and demand guided the development of the new technologies is the statement: Engineers recognized the disparity in access to resources and decided to develop systems that would address the issue; option D.
What is technology?Technology is the application of knowledge to reach practical goals.
Technology has affected our society and its surroundings in a number of ways which include:
technology has helped develop more advanced economiesTechnology has improved the medical fieldIn recent years, assistive technologies have been developed to give people with disabilities equal access to resources. Examples include wheelchair ramps, voice-recognition software, and screen readers.
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Complete question:
In recent years, assistive technologies have been developed to give people
with disabilities equal access to resources. Examples include wheelchair
ramps, voice-recognition software, and screen readers. Which statement best
explains how the market forces of supply and demand guided the
development of these technologies?
O A. As businesses became aware of the demand for equal access,
they began to invest in research and development to meet the
desires of their customers.
O B. As businesses developed assistive technologies, they began to
advertise their ability to provide equal access to consumers.
C. When assistive technologies became widely available, the public
demand for their universal adoption increased.
D. Engineers recognized the disparity in access to resources and
decided to develop systems that would address the issue.
Select the correct answer.
A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total
distance and total displacement of the boat?
O A.
OB.
O C.
O D.
The total distance is 105 kilometers and the total displacement is 45 kilometers east.
The total distance is 60 kilometers and the total displacement is 60 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east.
The total distance is 60 kilometers and the total displacement is 45 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C
How to solve for the total distanceTo calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.
However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.
Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.
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Make a poem about waves with 12 Lines and 3 Stanzas.
In a ocean full of storms
A new wave was born
Deep into that darkness flooding
Suddenly, I heard some pummeling
By the grave I saw the winds
And the sun just shined
Answer:
a friendly face that comes with waves,
the waves of all the memorial days,
and with these days we smile with pride,
as for the waves we used to ride,
given up the day has passed,
how it went away like an hour glass,
as if we knew the world was right,
just like the waves, oh so bright,
the time has come the days have passed,
the waves ashore the waves alast,
as if the friendly face was right,
the waves that rode, oh goodnight.
Creating a system to effectively solve problems can help you out in many ways what are some benefits you would like to see in your own life as you begin to apply the 4 step problem solving process you read about this week’s
Creating an effective system to solve problems is beneficial in various ways as it enables an individual to come up with a clear and concise solution to any problem or situation that may arise.
Some of the benefits that I would like to see in my own life as I begin to apply the 4-step problem-solving process are:Improved decision making skills- The 4-step problem-solving process will help me to make better decisions since it requires that I identify the problem, gather information, develop solutions, and implement the most suitable solution. This approach will help me to weigh my options carefully and make decisions based on logic rather than emotions.Improved communication skills- The process of problem-solving requires communication between team members. As I begin to apply the 4-step problem-solving process, I would like to develop better communication skills that will enable me to express my ideas clearly and succinctly.
This will be helpful not only in my personal life but also in my professional life where effective communication is a key to success.Improved critical thinking skills- The process of problem-solving requires critical thinking. By applying the 4-step problem-solving process, I would like to improve my critical thinking skills by learning how to analyze information, assess the problem, and develop solutions based on the available information.Improved productivity- The 4-step problem-solving process is a structured approach that helps to identify problems and develop solutions in a systematic manner. By applying this approach in my life, I would like to improve my productivity since I will be able to solve problems more efficiently and effectively.
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What happens to voltage if the resistance goes up
Answer:
This means that if the voltage is high the current is high, and if the voltage is low the current is low. Likewise, if we increase the resistance, the current goes down for a given voltage and if we decrease the resistance the current goes up.
A 39.4 kg beam is attached to a wall with a link and its far end is supported by a cable such that the angle between the beam and the cable is 90 degrees. If the beam is inclined at an angle of theta = 33.1 degrees with respect to horizontal, what is the magnitude of the horizontal component of the force exerted by the link on the beam?
Answer:
192.6N
Explanation:
Let's consider the forces acting on the beam:
Weight of the beam (W): It acts vertically downward and has a magnitude of W = mass * gravitational acceleration = 39.4 kg * 9.8 m/s^2.
Force exerted by the link on the beam (F_link): It acts at an angle of 90 degrees with respect to the beam and has two components: the vertical component and the horizontal component.
Tension in the cable (T): It supports the far end of the beam and acts at an angle of 90 degrees with respect to the beam. Since the angle between the beam and the cable is 90 degrees, the tension in the cable only has a vertical component.
Let's break down the forces acting on the beam:
Vertical forces:
W (weight of the beam) - T (vertical component of tension) = 0
T = W
Horizontal forces:
F_link (horizontal component of the force exerted by the link) = ?
To find the magnitude of the horizontal component of the force exerted by the link on the beam (F_link), we need to consider the equilibrium of forces in the horizontal direction.
Since the beam is inclined at an angle of θ = 33.1 degrees with respect to the horizontal, the horizontal equilibrium equation can be written as:
F_link = W * sin(θ)
Let's substitute the given values:
W = 39.4 kg * 9.8 m/s^2
θ = 33.1 degrees
F_link ≈ (39.4 kg * 9.8 m/s^2) * sin(33.1 degrees)
Using a calculator, we find that the magnitude of the horizontal component of the force exerted by the link on the beam (F_link) is approximately 192.6 N.
The resultant velocity with respect to the ground of a fighter
plane flying at 100 km/hr air speed will be
encounters a 45 km/hr tailwind.
Answer:145 km/hr
Explanation: v1+v2 100+45 =145 km/hr
3. A certain horizontal east-west lined wire has a mass of 0.2kg per meter of length and carries a current I. Impressed on the wire is northward-directed horizontal magnetic field strength of 0.4T. Find the current I if the magnetic force is to support the weight of the wire? (use: g = 10m/s?)(3pts)
Answer:
i = 4.9 A
Explanation:
The expression for the magnetic force in a wire carrying a current is
F = i L x B
bold letters indicate vectors.
The direction of the cable is towards the East, the direction of the magnetic field is towards the North, so the vector product is in the vertical direction (z-axis) upwards and the weight of the cable is vertical downwards. Let's apply the equilibrium condition
F - W = 0
i L B = m g
They indicate the linear density of the cable λ = 0.2 kg / m
λ = m / L
m = λ L
we substitute
i B = λ g
i = \(\frac{ \lambda \ g}{B}\)
let's calculate
i = 0.2 9.8 / 0.4
i = 4.9 A
A train which is traveling at 73mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 56mi/hr as it passes a point 1/2mi beyond A. A car moving at 45mi/hr passes point B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas." Calculate the constant acceleration a that the car must have in order to beat the train to the crossing by 3.9sec and find the velocity v of the car as it reaches the crossing.
Answer:
First to find deceleration of the train we use
v²= u²+ 2as
56²= 73²+ 2(0.5)a
a= -2193mi/hr²
Then we find time in which the train does the intersection
Using
S= ut+ 1/2 at²
1= 73t-1/2(1293)t²
t =68.5s
But since the train is to intersect in 3.9s the time will be the difference which is
65.68s
So finding acceleration
S= ut + 1/2at²
1.3mi= 45/3600mi/s(65.58s)+ 1/2a(65.5)²
So a= 1.179ft/s²
To find velocity we use
V= u + at
= 45/3600mi/s + (-2.33E-4mis²)(65.58s)
V= 0.0271mi/s
= 97.6ft/s
In the following circuit, find the potential difference (magnitude) between points A and B.
The potential difference between points A and B in the circuit is 12 V.
How to determine potential difference?To find the potential difference between points A and B in the given circuit, determine the total voltage across the circuit.
From the information provided, there are four resistors labeled as 12 Ω each. Assuming these resistors are connected in series, the total resistance in the circuit is 12 Ω + 12 Ω + 12 Ω + 12 Ω = 48 Ω.
Next, determine the current flowing through the circuit. The voltage is given as 24 V.
Using Ohm's Law (V = IR), calculate the current:
I = V / R
I = 24 V / 48 Ω
I = 0.5 A
Since the resistors are connected in series, the current remains the same throughout the circuit.
Finally, to find the potential difference between points A and B, multiply the current by the resistance between those points:
V_AB = I × R_AB
V_AB = 0.5 A * 24 Ω
V_AB = 12 V
Therefore, the potential difference between points A and B in the circuit is 12 V.
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A hot air balloon travel two hours at a speed of 375 km/hours what distance did it travel
Distance = (speed) x (time)
Distance = (375 km/hr) x (2 hr)
Distance = 750 km
(That's about 233 miles per hour. A hot-air balloon moving at that speed is in big serious trouble. I hope there's nobody trapped in the basket.)
Which of the following actions does NOT demonstrate a change in energy that causes motion or creates changes in other objects?
a. a bowling ball rolling down a lane
b. a tennis racket hitting a ball
c. a piece of paper in a notebook.
d. a hot plate heating a pot of water
PLEASE HELP IM STUCK ON THE QUESTION! :(
The action that does NOT demonstrate a change in energy that causes motion or creates changes in other objects is a piece of paper in a notebook. Option C is correct.
A bowling ball rolling down a lane demonstrates kinetic energy as the ball is in motion and creating changes in other objects. A tennis racket hitting a ball demonstrates kinetic energy as the racket is in motion, striking the ball, and causing it to move.
A hot plate heating a pot of water demonstrates thermal energy as the hot plate is increasing the temperature of the water, causing it to boil and creating changes in other objects. A piece of paper in a notebook is not demonstrating any significant change in energy that causes motion or creates changes in other objects, as it is stationary and not interacting with any other objects in a significant way. Option C is correct.
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When shopping for margarine what information should you look for on the label
Answer:
When buying a margarine, people should look for trans fat and saturated fat content. If it is over 2%, then it is not healthy. If it is lower that means it is healthy and fresh!
Explanation:
A force of 10 Newtons is the only force exerted on a block, and the acceleration of the block is measured. When the same force is the only force exerted on a second block, the acceleration is three times as large. What can you conclude about the masses of the two blocks?
When the acceleration is three times as large, the mass of the new block will be one-third the initial mass.
What is the acceleration of the block?
The acceleration of the block is the rate of change of velocity of the block with time.
The magnitude of the acceleration of each block can be obtained by applying Newton's second law of motion as follows;
F = ma
m = F/a
where;
m is the mass of each blockF is the applied force = 10 Na is the acceleration of each block.When the acceleration is three times as large, the mass of the new block is calculated as;
m = F/3a
m = 1/3 (F/a)
new mass = one-third the initial mass
Thus, we can conclude that when the acceleration is three times as large, the mass of the new block will be one-third the initial mass.
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Convert the arc length of 3.05 degrees into meters.
That depends on the circle's radius, which you neglected to mention.
If the radius is 1 meter, then an arc of 3.05 degrees is 5.32 centimeters long.
If the radius is 1 kilometer, then an arc of 3.05 degrees is 53.2 meters long.
A 5kg mass is pushed with a force of 10N for a distance of 2.5 meters. The work done is
W = 25 J
Explanation:
Work done on an object is defined as
\(W = Fd = (10\:\text{N})(2.5\:\text{m}) = 25\:\text{J}\)
a ball is thrown and follows the parabolic path shown. point q is the highest point on the path and points p and r are the same height above the ground.
Because of freefall, The only acceleration working on the ball is gravity in the parabolic path shown. Thus, Option C is correct.
What is parabolic path?Parabolic motion is a type of projectile motion in which an object is thrown or projected into the air and follows a curved path due to the influence of gravity.
In the case of the diagram, the ball is thrown upwards and follows a parabolic path. Point Q marks the highest point on the path and points P and R are the same height above the ground. This can be explained by the fact that the initial velocity of the ball is insufficient to reach a higher point than Q, so after reaching Q the ball begins to fall back to the ground, travelling the same distance at P and R before it reaches the ground.
The parabolic motion of the ball can be described by the equation s = u ×t + 0.5 × a × t2, where s is the displacement of the ball, u is the initial velocity, t is the time elapsed, and a is the acceleration due to gravity. This equation can also be used to calculate the maximum height that the ball will reach, in this case point Q.
The parabolic motion of the ball can be used to explain the physics behind a variety of scenarios, such as how a ball thrown into the air will move, how a skydiver will fall, and even how a spacecraft can be propelled into outer space. It is a fundamental concept in physics and understanding it can help to explain many of the phenomena we observe in our everyday lives.
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Full question:
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