The numerical value of the vertical velocity of the car at time t=0 is 4.91 meters per second.
Given,
t = 0.25 s
y = 0.75 m
α = 0.95 rad/s²
ω = 6.3 rad/s
Wf=6.54 rad/sec
V=wr
6.54*0.75
V=4.91 m/s
The classic example of independent motions along different axes is projectile motion. Projectile motion is the combination of two separate linear motions. The horizontal motion doesn’t affect the vertical motion, and vice versa. Since there is no acceleration in the horizontal direction (ignoring air resistance), the projectile moves with constant velocity in the x direction.
If an object slides down a friction less plane inclined at angle θ, the acceleration down the plane is g sin θ, because the component of g (the downward acceleration due to gravity) that points along the plane is g sin θ. (There is no acceleration perpendicular to the plane because the normal force from the plane cancels the component of the gravitational force perpendicular to the plane.
Another type of 2-D motion is circular motion. If an object is moving in a circle of radius r with speed v at a given instant, then the (inward) radial component of the acceleration vector a equals. This radially inward acceleration is called the centripetal acceleration. If additionally the object is speeding up or slowing down as it moves around the circle.
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After the switch is closed, which plate of the capacitor eventually becomes positively charged?
O the top plate O the bottom plate O both plates O nelther plate because electrons are negatively charged
The correct option is A, After the switch is closed, the top plate of the capacitor eventually becomes positively charged.
A capacitor is a passive device that stores electrical energy in an electric field. It consists of two conducting plates separated by an insulating material such as air, paper, mica, ceramic, or plastic. When a voltage is applied across the two plates, the electric field created between them stores the energy in the form of an electrostatic potential.
When the voltage is removed, the charge stored in the capacitor is slowly discharged, releasing the energy. Capacitors are used in a wide range of applications, from power supplies and signal processing to motor control, filtering, and energy storage. They are also used to smooth out short-term fluctuations in voltage or current and are key components in many types of electronic circuits.
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How much force is needed to accelerate a 63 kg skier at 6 m/s2?
Answer:
378 N
Explanation:
F = ma = (63 kg)(6 m/s²) = 378 N
A skier weighing 63 kg needs 189N of force to accelerate at 6 m/s. The magnitude of the force required to accelerate the sled is 91 newtons.
What is the necessary force to accelerate?An object's acceleration is equal to the net force acting on it divided by its mass, or a = F m, according to Newton's second law of motion. When the object's mass and the net force it is subjected to are known, this acceleration equation can be used to determine its acceleration.
By the second law of Newton, F = ma Add the following numbers:
F=189N F=63kg(2ms 2)
Which two formulas are used to determine acceleration?Formula for acceleration: there are three equations for acceleration:
a = (v_f - v_i) / t;a equals 2 / t2 (d - v_i t)a = F / m ;To learn more about Newton's second law here:
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A rectangular tank 6 m long, 2 m deep and 2. 4 m wide contains 1 m of water. The tank is accelerated in the x-direction (along the direction of the 6 m length) with an acceleration 2. 45 m/s^22. 45m/s 2. What is the angle (in degrees) of the water surface with the horizontal
The angle (in degrees) of the water surface with the horizontal is 14.3 degrees
The angle of the water surface with the horizontal can be determined using the concept of the accelerations of gravity and centripetal force. The acceleration of gravity acts in the downward direction, and the centripetal force acts in the opposite direction of the acceleration. In this case, the horizontal acceleration of the tank is 2.45 m/s^2, which acts in the opposite direction of the gravitational acceleration.
The angle of the water surface with the horizontal can be found by taking the tangent of the ratio of the centripetal acceleration to the gravitational acceleration.
tan(theta) = (centripetal acceleration) / (gravitational acceleration)
tan(theta) = (2.45 m/s^2) / (9.8 m/s^2) = 0.25
Theta = 14.3 degrees
So the angle of the water surface with the horizontal is 14.3 degrees.
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How electrostatic induction differ from charging by friction
Explanation:
Electrostatic is a force between two non-conductors
while
Friction oppose the relative motion between two surface or object.
The centers of two 15.0 kilogram spheres are separated by 3000 millimeters. The magnitude of the gravitational force between the spheres is approximately:
The gravitational force here between spheres has an estimated magnitude of 1.67 10-9 N.
What is the gravity force?Any two bodies' gravitational attraction is exactly equal to the sum of their masses and divided by the square of their distance from one another.
Gravity, often known as the gravity force will bring any two bodies together. Although everything in the cosmos is attracted to one another, this attraction is usually too weak to just be felt since the things are so far apart. Gravity's attraction lessens as things are moved farther apart, but its influence sphere is boundless.
F=GMm/r^2
G=6.67 x 10^-11N kg^2/m^2
M=(15kg)
m=15 kg
r=(3.0m)^2
putting values we have
(6.67 x 10^-11N kg^2/m^2)(15kg)(15kg)/(3.0m)^2
1.67 x 10^-9N
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The half life of a radioactive substance is the time taken for the activity to halve. Use the graph to calculate the half life of the radioactive isotope.
Radioactive element which keeps on decaying over the time. Decay of radioactive element always comes under first order kinetics. Therefore the half life time of radioactive substance is 2seconds.
What is half life?Half life tells about the time at which the radioactive material decays to half of its initial concentration.
Mathematically,
half life time=0.693/ rate constant of the decay
The half life of a radioactive substance is the time taken for the activity to halve. Using the graph to calculate the half life of the radioactive isotope, we find that activity that is 3500 so, half of this activity is 17500 which is corresponding to time 2 seconds.
Therefore the half life time of radioactive substance is 2seconds.
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The populations of the great apes in Africa are recovering and on the rise.
Please select the best answer from the choices provided
T
F
Answer:
False
Explanation
Poaching, habitat loss and diseases are contributing to the death of animals there, example: Gorilla
Answer:
false
Explanation:
A 16-cm-long nichrome wire is connected across the terminals of a 1.5 V battery.
What is the electric field inside the wire?
What is the current density inside the wire?
If the current in the wire is 2.0 A , what is the wire's diameter?
The electric field inside the wire is equal to 1.5 V/16 cm, or 0.09375 V/cm.
What is battery?
Battery is a device that stores energy and is capable of providing a current of electricity when connected to an electrical device. It typically consists of one or more electrochemical cells, which convert stored chemical energy into electrical energy.
The current density inside the wire is equal to 2.0 A/16 cm, or 0.125 A/cm.
The wire's diameter can be calculated using the formula I = πρd2/4,
where I is the current in the wire,
ρ is the resistivity of nichrome,
and d is the diameter of the wire.
Plugging in the values given,
we get 2.0 = π(1.1×10-6 Ω•m)d2/4, or d2 = 8.18×10-5 m.
Taking the square root of both sides, we get d = 0.028 m, or 2.8 mm.
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A student is pushing on a heavy door, trying to slide it open. Their friend stands behind them and helps push. How have the forces changed
There will be an increase in the net force.It appears that an object is moving faster, slower, or in a different direction.
What actually constitutes force?There are several instances of forces in daily life, including:heft and powerthe force a bat applies to a ball.the pressure that a hair brush applies to hair when brushing it.the pressure your foot applies to the pedal when you're riding a bike.
What occurs when a force shifts?An object can change its size or shape, begin moving, stop moving, accelerate, or decelerate as a result of a pressure applied on it.
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which effect proves more conclusively that an object is charged, attraction to or rep;usion from antoher object
According to Coulomb's Law the observation of repulsion between two objects provides more conclusive evidence that an object is charged, as opposed to attraction.
What is Coulomb's Law?
Coulomb's Law is a fundamental principle in physics that describes the interaction between electrically charged objects. It states that the force of attraction or repulsion between two charged objects is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Attraction or repulsion between two objects is one way to determine if an object is charged. The presence of an electric charge on an object can be determined by observing whether it experiences a force of attraction or repulsion when brought near another charged object.
Attraction or repulsion between two charged objects is a fundamental effect of electric charges. Opposite charges will experience a force of attraction towards each other, while like charges will experience a force of repulsion away from each other. This is known as Coulomb's Law.
Therefore, as per Coulomb's Law the observation of repulsion between two objects provides more conclusive evidence that an object is charged, as opposed to attraction.
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What is the vertical acceleration of a dart that is launched horizontally with an initial velocity of 2.3 m/s
With merely a 2. 3 m/s beginning velocity, a horizontally dart launch accelerates upward at a rate of -9.8 m/s².
Describe the concept of acceleration:The rate at which speed and distance for velocity vary over time is known as acceleration. Anything is said to have been accelerated when it goes quicker or slower in a single direction.
What is an efficient case of acceleration?When an item accelerates positively, it moves more quickly than it did before. In the first instance, the moving automobile showed positive acceleration. The acceleration is accelerating in a way that is comparable with the direction in which the vehicle is speeding up and velocomotion is accelerated in a route that is compatible with the direction in which the vehicle is
Let's say a body of mass (m) is shot from a height (h) above surface of the planet. As it descends at a faster rate, it eventually reaches the ground.
Under the influence of gravity, which is acting at a distance r from the earth's core, the body begins to accelerate in that direction.
Then, ma = GMm/r²
a = GM/r²
Therefore, the value of the acceleration due to gravity (g) = GM/r2.
Any object freely falling to the surface of the earth has acceleration due to gravity is 9.8m/s².
The earth's gravitational attraction is felt by the object if it shifts away from the planet's surface. Dart's vertical acceleration is therefore equivalent to -g.
As a result, the dart's vertical acceleration is equivalent to -9.8m/s2.
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Nan suitcase has a mass of 14 kg how much potential energy does it gain when she lifts it onto a bench that is 40 cm tall
The potential energy of Nan suitcase of mass 14 kg is 54.88 J.
What is Potential energy?Potential energy is the energy of a body due to its position in the gravitational field.
To calculate the potential energy, we use the formula below
Formula:
P.E = mgh............... Equation 1Where:
P.E = Potential energym = Massg = Acceleration due to gravityh = HeightFrom the question,
Given:
m = 14 kgg = 9.8 m/s²h 40 cm = 0.4 mSubstitute these values into equation 1
P.E = 14×9.8×0.4P.E = 54.88 JHence, the potential energy is 54.88 J.
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If an electric heater is rated at 15,000 W, and the voltage used is 240 V, what size breaker in amps would be required
The current required by the electric heater which has the power of 15,000 W is 62.5 A
The power of the heater = 15,000 W
The voltage used by the heater = 240 V
The current required by the electric heater can be found using the formula,
P = VI
where P is the power of the electric heater
V is the voltage used by the electric heater
I is the current required by the electric heater
Let us rearrange the above equation in order to get the current required by the heater is
I = P/V
Let us substitute the known values in the above equation, we get
I = 15,000 / 240
= 62.5 A
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What are the main mechanisms that affect the gene pool?
Answer: Natural selection, Genetic drift , Mutations and Gene flow
Explanation:
If the absolute temperature of an object is tripled, the thermal power radiated per unit surface area of this object will (assuming that its emissivity is not affected by the temperature change)?
Answer: increase by a factor of 81
A temperature increase of an order of 81 will cause an object's thermal output radiated per unit surface area to double, assuming that its emissivity is unaltered by the temperature change.
By dividing the Planck radiation density by a wavelength interval, you can compute it numerically.The rate of heat transfer through radiation emitted is controlled by the Stefan-Boltzmann law of radiation: Qt=σeAT4 The equation Q t = e A T 4 includes the Stefan-Boltzmann constant, A, the object's surface area, and T, the object's absolute temperature in kelvin.All bodies emit energy W depending on temperature T according to the Stefan-Boltzmann formula W = T4, where emissivity is equal to 1 for black bodies and less than 1 for grey ones, being the Stefan constant.To know more about Temperature here
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How do you think the speed a satellite fall towards Earth compares to the speed it is moving forward
The speed a satellite fall towards Earth compares to the speed it is moving forward If the speed drops, it will fall toward the earth.
We can say that satellite speed has a significant impact on satellite motion because if a satellite's speed is reduced by half, it will fall towards the earth because it is drawn in by the earth's gravitational pull. However, if a satellite's speed is doubled, it will travel into space because the earth's gravitational pull will no longer hold it in orbit.
When a satellite is moving quickly, the force of gravity may not be able to hold it in orbit. If it moves slowly, it won't make enough progress to resist gravity's pull and collide with the object it is orbiting.
Rockets are used to put the majority of satellites into orbit. When the pull of Earth's gravity and the satellite's speed are equal, the satellite circled the planet. Without this equilibrium, the satellite would either fall back to Earth or shoot off into space in a straight path.
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1. A force of 60 Newtons is applied to the end of a wrench 0. 12 m long. How much torque is produced?
Answer: The amount of Torque produced is 7.2 Nm.
Explanation:
Given:
Force applied (F) to the end of a wrench = 60 Newton
Length of wrench = 0.12 meter
To find:
Quantity of Torque produced
Solution:
The quantity of Torque produced can be calculated from the following formula:
Ƭ = r F sin(θ)
Where,
Ƭ = Torque, r = radius, F = Force, (θ) = angle between F and the lever arm
In the given question,
r = 0.12,
F= 60,
(θ)= 900 {Since the force is applied at the end of a wrench, it must be perpendicular}
Torque (Ƭ) = 0.12* 60 * sin 900
= 7.2 m {sin 900 = 1}
Hence, in the given situation, 7.2 Nm Torque will be produced.
A high diver wants to make sure that she does not move any faster than 32 m/s when she enters the water from a dive. If she leaves the diving board from rest, what is the maximum height the diving board can be above the water (in meters) so that she does not go any faster than 32 m/s
The maximum height the diving board can be above the water is 52.5m, so that she does not go any faster than 32 m/s when she enters the water.
How do you determine the maximum height ?To determine the maximum height the diving board can be above the water, we can use the equation of motion for a freely falling object:
v^2 = u^2 + 2as
where
v = final velocity (32 m/s)
u = initial velocity (0 m/s)
a = acceleration due to gravity (-9.8 m/s^2)
s = distance fallen (height of diving board above water)
We can rearrange the equation to find the distance fallen (s)
s = v^2/(-2a) - u^2/2a
substituting the values
s = 32^2/(-2*(-9.8)) = 32^2/19.6 = (1024/19.6) = 52.5 m
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A simple pendulum has length L and period T. As it passes through its equilibrium position, the string is suddenly clamped at its mid-point. The period then becomes:
The new period would be T/2.
The period of a simple pendulum is given by T = 2π √(L/g), where,
L is the length of the pendulum g is the acceleration due to gravity.When the string is clamped at its midpoint, the length of the pendulum is effectively halved.
So the new period would be T' = 2π √(L/2g) =π √(L/g) = T/2.
Period of Simple Pendulum:
The period of a simple pendulum is the time it takes for the pendulum to complete one full oscillation, or swing back and forth. It is determined by the length of the pendulum (L) and the acceleration due to gravity (g). The mathematical formula for the period of a simple pendulum is T = 2π √(L/g).The length L of the pendulum is the distance from the pivot point (the point at which the pendulum is attached) to the center of mass of the pendulum bob (the weight at the bottom of the pendulum). The longer the pendulum, the longer the period will be.The acceleration due to gravity (g) is a constant value of approximately 9.8 m/s^2 on the surface of the Earth. The value of g is used in the formula because the force of gravity is what causes the pendulum to oscillate.It's important to note that the period of a simple pendulum is independent of the amplitude of the oscillations (the angle at the pendulum is displaced from its equilibrium position), as long as the amplitude is small enough that the pendulum's motion can be considered simple harmonic motion.Learn more about Simple Pendulum here;
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What is the function of the countercurrent system of flow?
In the renal medulla, a countercurrent mechanism keeps things in balance. The solution flows concurrently in the same direction. The solution flows in the opposite direction of the countercurrent flow.
Cross-current flow here, the liquids move in the opposing directions through the two tubes. One end of a tube in a single tube starts to flow a solution with a concentration of 0%, while the other end in the same tube starts to flow a solution with a concentration of 100%.
The kidneys have two countercurrent processes. They are the vasa recta and the Henle loop. The nephron's Henle's loop is a U-shaped structure. The two limbs of the vessel's two blood streams move in the opposing directions, creating countercurrents.
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If the Barbie had a mass of 0.23kg and the Barbie was dropped 11ft 11inches (assuming there was no rubber bands) how fast would the Barbie be moving at the bottom of the path?
The Barbie would be moving with speed 27.69 ft/s at the bottom of the path.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Mass of the Barbie = 0.23 kg.
Initial height of the Barbie: h= 11 ft 11 inches = ( 11 + 11/12) feet = 11.92 feet.
Acceleration due to gravity: g = 32.17 ft/s²
Hence, the speed of the Barbie at the bottom of the path = √(2gh)
= √( 2 × 32.17 ×11.92) ft/s
= 27.69 ft/s.
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A candy-filled piñata is hung from a tree for Matthew's birthday. During an unsuccessful attempt to break the 4. 4-kg piñata, Hayden cracks it with a 0. 54-kg stick moving at 4. 8 m/s. The stick stops and the piñata undergoes a gentle swinging motion. Determine the swing speed of the piñata immediately after being cracked by the stick
The velocity of the other piece of the pinata which has a mass of 3.86 kg
is 0.67 m/s
The mass of the candy-filled pinata = 4.4 kg
The mass of the first piece of the pinata = 0.54 kg
The velocity of the first piece of the pinata = 4.8 m/s
The mass of the second piece = 3.86 kg
The velocity of the other piece can be found using the formula,
mu = m₁v₁ + m₂v₂
where m is the mass of the pinata
u is the velocity of the pinata at rest
m₁,m₂ are the masses of the first and second pieces of pinata
v₁,v₂ is the velocity of the two pieces
Let us substitute the known values in the above equation, we get
4.4 x 0 = 0.54 x 4.8 + 3.86v₂
= 2.592 + 3.86v₂
3.86v₂ = -2.592
v₂ = 2.592/3.86
= 0.67 m/s
Therefore, the velocity of the other piece is 0.67 m/s
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Ms. Estes shows her class a video from when she worked at the space center launching rockets. She asks her students which of the following items in the video were examples of Newton's first law of motion? (1 point)
-- The rocket accelerating rapidly off the launch pad
-- The astronaut being pushed back into his seat as the rocket accelerates
-- The astronaut experiencing zero gravity in orbit
-- The booster rocket falling back into the ocean after the launch
The astronaut being pushed back into his seat as the rocket accelerates - this was the example of Newton's first law of motion.
What is Newton's first law of motion?According to Newton's First Law, a body in uniform motion or at rest will remain in that state up to and unless a net external force acts on it.
When the astronaut worked at the space center launching rockets, no force is worked on him. When the rocket accelerates, according to Newton's first law of motion, the astronaut remains in same motion, that's why, he pushed back into his seat .
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Les mélange et le transformations de la matiers
Les molécules sont arrangées autrement, ce qui modifie l'aspect ou l'état de l'espèce chimique. Un mélange est une substance composée de plusieurs espèces chimiques qui ne réagissent pas ensemble, au contraire de la transformation chimique. Il s'agit donc d'une transformation physique, qui ne change pas la matière.
Does rain occur most often in warm air masses, cold air masses or at warm fronts where two meet and interact?
Answer:
at warm fronts where two meet and interact
Explanation:
Warm fronts often bring stormy weather as the warm air mass at the surface rises above the cool air mass, making clouds and storms
ps. I'm not very sure if it's correct
How much tension must a rope withstand if it is used to accelerate a 1810- kg car horizontally along a frictionless surface at 1.40 m/s2
The tension is the only force exerted horizontally to the car.And according to Newton's Law, F = ma = 1210kg * 1.20m/s = 1452N.So T =1452N.
How would a surface without friction feel?It just seems slick, almost like touching ice but without the frigid sensation, according to my firsthand experience of both. Sorry, it's really nothing exceptional. Any surface would be sufficient if it had some lubrication oil on it.
Is there any surface in the world without friction?In reality, there are no frictionless planes. If they did exist, items on them would almost certainly behave exactly as Galileo predicted if they did. Despite not existing, they are extremely valuable for designing things like engines, motors, roads, and even tow truck beds, to mention a few.
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a 0.30g fly moving at 1.5ms-1 is trappedby a spiders web the fly comes to rest in a time of 0.40s calculate the magnitude of the change in momentum if the fly and the average firce exerted by the web on the fly
Answer:
Magnitude of the change in momentum = 0.45kgms-1
Force exerted = 1.13N
Explanation:
The magnitude of the change in momentum of the fly can be calculated using the equation Δp = mv, where m is the mass of the fly and v is the velocity of the fly. In this case, the fly has a mass of 0.30g and an initial velocity of 1.5ms-1. Therefore, the change in momentum of the fly is
Δp = (0.30g) x (1.5ms-1) = 0.45kgms-1.
The average force exerted by the web on the fly can be calculated using the equation F = Δp/Δt, where F is the average force, Δp is the change in momentum of the fly, and Δt is the time taken for the fly to come to rest. In this case, the change in momentum of the fly is 0.45kgms-1 and the time taken for the fly to come to rest is 0.40s. Therefore, the average force exerted by the web on the fly is
F = (0.45kgms-1)/(0.40s) = 1.13N.
The motion of a particle is described by x= 10 sin2t + 8cos2t. Determine the period, amplitude and phase angle
If the motion of a particle is described by x=10 sin2t+8cos2t then the period , amplitude and phase angle will be:-
Period of the function is given by the reciprocal of the frequency, which is 1/2. Thus, the period is T = 2/1 = 2.
The amplitude of the function is given by the maximum value of the function minus the minimum value of the function. The maximum value of the function is 10 + 8 = 18 and the minimum value of the function is -10 + 8 = -2. Thus, the amplitude is A = 18 - (-2) = 20.
The phase angle is given by the angle between the x-axis and the line representing the function. The function is a combination of sine and cosine functions, so the phase angle is given by the angle between the x-axis and the line y = 10x + 8. The slope of this line is 10, so the phase angle is tan^-1(10) = 84.3 degrees.
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A car moves at 45 kilometers per hour.
Which option describes if the given value is speed or velocity?
speed, because there is a mention of time speed, because there is a mention of time
velocity, because there is a mention of time velocity, because there is a mention of time
velocity, because there is no specific directionvelocity, because there is no specific direction
speed, because there is no specific direction
Since this car moves at 45 kilometers per hour, an option which describes if the given value is speed or velocity include the following: D. speed, because there is no specific direction.
What is speed?In Science, speed can be defined as the distance covered by a physical object per unit of time. This ultimately implies that, speed is a scalar quantity because it has magnitude but no direction.
What is velocity?In Science, velocity can be defined as the distance covered by an object per unit of time in a specific direction. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction.
In this context, we can reasonably infer and logically deduce that a car that moves at 45 kilometers per hour describes speed rather than velocity, because there is no specific direction mentioned.
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Since no direction is specified, the correct answer is the last option which is speed, because there is no specific direction
Difference Between Speed and VelocitySpeed is a scalar quantity. That is, it has only magnitude but no direction. While velocity is a vector quantity. That is, it has both magnitude and direction.
If a car moves at 45 kilometers per hour, only the car magnitude is given but no direction.
The option that describes if the given value is speed or velocity is speed, because there is no specific direction
Therefore, the correct option is speed, because there is no specific direction.
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What is a marine zone? Thats all I need thank you :)
Answer:
For this I believe that your working on Ocean layers in science physics
There are actually 5 ocean zones or layers. (here they are in order)
1. Sunlight zone
2. Twighlight zone
3. Midnight zone
4. Abyssal Zone
5. Hadal zone
As a rephrase of the question I believe you meant to say
What are the marine zones?
Please correct me if wrong!!