Answer: The gravitational potential energy would increase because the cart would hover
Explanation: The gravitational potential energy would increase because the cart would hover
higher off the track, and gravitational potential energy gets larger when the
distance is increased.
let connected = {hgi| g is a connected undirected graph}. analyze the algorithm given on page 185 to show that this language is in p.
The algorithm provided on page 185, it can be inferred that the language "connected," is in the complexity class P, indicating that it can be solved efficiently in polynomial time.
The complexity class P is the set of decision problems that can be solved by a deterministic machine in polynomial time. This class corresponds to an intuitive idea of the problems which can be effectively solved in the worst cases.To analyze the algorithm, we need to refer to the specific details mentioned on page 185. Without access to the content on that page, we cannot provide a calculation or elaborate on the algorithm's steps and complexity. However, it is known that the problem of determining whether a graph is connected can be solved efficiently in polynomial time. This implies that the language "connected," which consists of all connected undirected graphs, is in the class P.
Based on the algorithm provided on page 185, it can be inferred that the language "connected," comprising connected undirected graphs, falls within the complexity class P, indicating that it can be solved efficiently in polynomial time.
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The image formed by a plane mirror are always of ....... size.
Answer:
same
step by step explanation:
Newton's 3rd Law of Motion
For every__________ (or force), there is an ____________ and __________ action (or force).
Answer:
Explanation:
For every action (or force), there is an equal and opposite action (or force).
A transformer with 1000 turns on its primary coil has an RMS potential difference across this coil of 240V. A voltmeter is connected across the secondary coil and measures 12V. How many turns are on the secondary coil?
Given that the number of turns in the primary coil is
\(n_p=\text{ 1000}\)The voltage in the primary coil is
\(V_p=240\text{ V}\)The voltage in the secondary coil is
\(V_s=\text{ 12 V}\)We have to find the number of turns in the secondary coil.
Let the number of turns in the secondary coil be denoted by
\(n_s\)The formula to calculate the number of turns in the secondary coil is
\(\begin{gathered} \frac{V_p}{V_s}=\frac{n_p}{n_s} \\ n_s=\frac{V_s}{V_p}\times n_p \end{gathered}\)Substituting the values, the number of turns in the secondary coil will be
\(\begin{gathered} n_s=\frac{12}{240}\times1000 \\ =50 \end{gathered}\)Thus, the number of turns in the secondary coil is 50
Which of the following sets of two charges is experiencing the strongest
attraction?
Charges of +2 C and -2 C, separated by 1 m.
Charges of +1 C and -3 C, separated by 1 m.
Charges of +2 C and +2 C, separated by 1 m.
Charges of +1 C and +3 C, separated by 1 m.
The set of two charges experiencing the strongest attraction is charges of +2 C and -2 C, separated by 1 m. Option A.
How to identify the two charges experiencing the strongest attraction?+2 C and -2 C is an attracting force because the charges are opposite
For Charges of +2 C and -2 C the force of attraction between two charges is directly proportinal to the product of their charges and inversely proportional to the square of the distnce between them.
The product of the charges is 2 × -2 = -4 C², and the square of the distance between them is 1² = 1 m².
The force of attraction between these two charges is -4 / 1 = -4 N.
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How to find the mass of an object from a force-acceleration graph??
Answer:
The gradient of the graph is the mass of the object.
Explanation:
In a force-accleration graph, you are plotting force against acceleration. And from the formula for Force; F = ma
Make the mass subject of the formula; u'll get m = F/a. meaning that to get the mass of the object u have to find the gradient of the force-accleration graph.
Answer:
\(f = ma\)
Explanation:
where m is the inertial mass of the object. This equation indicates that a graph of acceleration vs force should be a straight line.
distance between (2,4)and(1,0)
Answer:
By using distance formula
your answer is √17
Explanation:
√(1-2)^2+(0-4)^2
√(-1)^2+(-4)^2
√1+16 = √17
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{17} \: \: units}}}}}\)
Explanation:
Let the points be A and B
Let A ( 2 , 4 ) be ( x₁ , y₁ ) and B ( 1 , 0 ) be ( x₂ , y₂ )
Finding the distance between these points
\( \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}\)
\( \longrightarrow{ \sf{ \sqrt{ {(1 - 2)}^{2} + {(0 - 4)}^{2} } }}\)
\( \longrightarrow{ \sf{ \sqrt{ {( - 1)}^{2} + {( - 4)}^{2} } }}\)
\( \longrightarrow{ \sf{ \sqrt{1 + 16}}} \)
\( \longrightarrow{ \sf{ \sqrt{17} }}\) units
Hope I helped!
Best regards! :D
A batter pops a ball straight up (a) If the ball returns to the height from which it was hit 4.5 s later, what was its
initial speed? (b) Does the ball reach its maximum height 2.25s after it was hit, more than 2.25s after it was hit, or
less than 2.25s after it was hit? Explain. (c) Find the maximum height of the ball, as measured from the point
where it was hit.
Answer:
a) S = V0 t + 1/2 a t^2 distance ball travels in time t
0 = V0 t - 1\2 * 9.8 * t^2 ball returns to original height
V0 = 4.9 * 4.5 = 22.05 m / s original speed
b) Since V0 = g t time to decelerate to zero
t = 22.05 / 9.8 = 2.25 sec time up equals time down
c) S = V0 t + 1/2 a t^2
S = 22.05 * 2.25 - 9.8 / 2 * 2.25^2 = 24.8 Max height
Check: Avg speed = 22.05 / 2 = 11.025 m/s
Time to fall from max height = 11.025 * 2.25 = 24.8 ft
After a batter pops a ball straight up we have:
a) The initial speed of the ball before it returns to the height from which it was hit 4.5 seconds later, is 22.07 m/s.
b) The ball reaches its maximum height 2.25 s after it was hit.
c) The maximum height of the ball, s measured from the point where it was hit, is 24.8 m.
a) The initial speed can be calculated with the following equation:
\( v_{f} = v_{0} - gt \)
We will use this equation to find the initial speed when the ball is moving upward.
Where:
\(v_{0}\): is the initial speed =?
\(v_{f}\): is the final speed = 0 (at the maximum height)
g: is the acceleration due to gravity = 9.81 m/s² (it is negative because its direction is in the opposite direction to the movement of the ball when it is going up)
t: is the time when the ball is going up
When the ball is going up, the time is:
\( t = \frac{4.5 s}{2} = 2.25 s \)
Hence, the initial speed is:
\( v_{0} = gt = 9.81 m/s^{2}*2.25 s = 22.07 m/s \)
b) The ball reaches its maximum height 2.25 s after it was hit because the ball returns to the height from which it was hit. The rise time is equal to the fall time.
c) The maximum height of the ball is the following:
\( v_{f}^{2} = v_{0}^{2} - 2gh \)
Where:
h: is the maximum height
Then, the maximum height is:
\( h = \frac{v_{0}^{2}}{2g} = \frac{(22.07 m/s)^{2}}{2*9.81 m/s^{2}} = 24.8 m \)
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The pressure of a liquid at the 10.2 meters depth is 80100 Pascal. - What is the density of the fluid in kg/cubic meter?
Answer:
8165.138kg/cubic meter
Explanation:
Pressure= 80100 Pascal.= 1N/m^2
Height=10.2 meters
density of the fluid in kg/cubic meter= ?
g=acceleration due to gravity= 9.81m/s^2
The pressure of a system can be calculated using the expression below
P = ρ g h
Where
p =pressure,
h =depth of the liquid,
ρ = density of the liquid,
g = acceleration due to gravity.
If we substitute those values we have
80100 1N/m^2= ρ × 9.81m/s^2
ρ= 80100/9.81
ρ=8165.138kg/cubic meter
Hence, the density of the fluid in kg/cubic meter is 8165.138kg/cubic meter
a child jumps on a trampoline. draw energy bar diagrams to show the forms of energy present in the following situations.
a. the child is at the highest point.
b. the child is at the lowest point
Answer:
a
Explanation:
In thermodynamics, work is typically done by
O A. solids
O B. energy
O C. gases
O D. liquids
Answer:
C. gases
Explanation:
I don't really know how to explain it work is just typically done by gases. Plus this is the correct answer for a p e .x
what is the best definition of relativistic thought according to perry
Relativistic thought refers to the recognition that our perceptions and beliefs are influenced by our experiences, upbringing, and cultural and social environments, according to Perry.
It suggests that reality is subjectively constructed rather than objectively discovered, and that what is "true" or "right" for one person or group may not be for another. Relativistic thinking entails a degree of tolerance for opposing viewpoints and a willingness to engage in dialogue rather than debate or dismiss opposing perspectives. Instead of seeing things in black and white, relativistic thought acknowledges the nuances and complexity of human experience and acknowledges that there may be multiple valid perspectives on any given issue.
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|| int a 50 g ball of clay traveling at speed hits and sticks to a 1.0 kg brick sitting at rest on a frictionless surface. what is the speed of the brick after the collision? what percentage of the mechanical energy is lost in this collision?
The speed of the brick after the collision is 0.048v₀.
The percentage of the mechanical energy lost in the collision is 95.2%.
The given parameters;
mass of the ball, m₁ = 50 g = 0.05 kgspeed of the ball, = v₀mass of the brick, m₂ = 1 kgLet the speed of the brick after collision = v
Apply the principle of conservation of linear momentum;
m₁v₀+m₂u₂ = v(m₁+m₂)
0.05v₀+0 = v(1 + 0.05)
0.05v₀ + 0 = 1.05v₀
v₀ = 0.05v₀/1.05
v₀ = 0.048v₀
Thus, the speed of the brick after the collision is 0.048v₀
The total initial kinetic energy;
K.Ei= 1/2 x 0.05 x v₀² + 1/2 x 0.05 x 10²
K.Ei= 0.025v₀²
The total final kinetic energy;
K.Ef= 1/2x (1.05) x (0.048v₀)²
K.Ef= 0.0012v₀²
The percentage of mechanical energy lost during the collision;
0.025v₀² - 0.0012v₀² x 100%
0.025v₀²
= 95.2%
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Questions
Q1.
A teacher takes a group of students on to a sports field to measure the speed of sound in air.
The teacher fires a starting pistol.
It produces a loud bang and a flash of light at the same time.
The students take measurements.
Describe how the measurements are made and used to determine the speed of sound in air.
Answer:
Below
Explanation:
Measure distance to pistol .....
speed of light is nearly instantaneous in this situation (short distance)
measure time from flash to hearing the sound
speed of sound = distance to pistol / time to hear
who coined the term psychophysics
The term "psychophysics" was coined by German psychologist and philosopher Gustav Fechner in the mid-19th century.
He introduced the concept in the mid-19th century as a way to quantify and study the relationship between physical stimuli and their psychological effects. Fechner is considered to be the founder of psychophysics, and his work laid the foundation for the development of this field of study. Psychophysics aims to understand the perception of stimuli and how it is related to the physical properties of the stimuli, such as their intensity, duration, and frequency. Psychophysics is a subfield of psychology that deals with the relationship between physical stimuli and their psychological effects. It aims to quantify the relationship between the physical properties of stimuli, such as intensity, duration, and frequency, and the subjective experiences of those stimuli, such as sensation, perception, and response.
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When wind turns the blades of a wind turbine and then this energy is used to power homes, this is an example of an energy transfer from ________ to ________ energy. a mechanical, electrical b radiant, thermal c electrical, mechanical d thermal, chemical
When wind turns the blades of a wind turbine and then this energy is used to power homes, this is an example of an energy transfer from mechanical to electrical energy.
What is Wind power?In order to produce electricity, wind turbines are mostly used in wind power or wind energy. In comparison to burning fossil fuels, wind energy is a well-liked, environmentally friendly, renewable energy source.Wind energy, like all other forms of energy production, has the potential to have negative effects on the environment, including the loss, fragmentation, or degradation of habitat for animals, fish, and plants. Additionally, flying animals like birds and bats could be harmed by turbine blades that are in motion.Wind energy is economical.After the production tax credit, land-based utility-scale wind is one of the least expensive energy sources on the market at 1-2 cents per kilowatt-hour.Learn more about wind power here:
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At which position is the northern hemisphere experiencing winter?
The image includes the position and tilt of Earth in its orbit around the sun. Earth is tilted away from the sun in position A. In position B, the sun shines evenly on Earth from pole to pole. Earth is tilted toward the sun in position C. In position D, the sun shines evenly on Earth from pole to pole.
Public Domain
Point A
Point B
Point C
Point D
When the Earth has tilted away from the sun, as seen in position A in the figure, the northern hemisphere experiences winter.
The northern hemisphere is tilted away from the sun at this position, receiving less direct sunshine and experiencing cooler temperatures.
In contrast, the southern hemisphere is inclined towards the sun and experiencing summer.
The Northern Hemisphere is the portion of the globe north of the Equator. It comprises the majority of North America, Europe, Asia, and parts of Africa. Because of the tilt of the Earth's axis relative to the plane of its orbit around the sun, the Northern Hemisphere experiences various seasons throughout the year.
Summer occurs when the Northern Hemisphere is oriented towards the sun, while winter occurs when it is slanted away from the sun. Spring and fall are the two seasons that fall between the extremes of summer and winter.
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Suppose a bolt on your car engine needs to be tightened to a torque of. You are using a long wrench, and you apply a force at the very end in the direction that produces maximum torque. What force should you apply?
If the bolt on your car engine needs to be tightened to a torque of τ, you can use a long wrench to produce the required torque.
A torque is a measure of the twisting force applied to an object. It's typically represented by the symbol τ, and it's measured in units of Newton meters (Nm) in the metric system. If a bolt on the car engine needs to be tightened to a torque of τ, you'll need to apply a specific amount of force to ensure that it's properly tightened. A long wrench can be used to increase the torque produced by the force applied to the bolt.
The force applied at the end of the wrench will be amplified at the bolt due to the distance between the end of the wrench and the bolt. To calculate the force you should apply to the end of the wrench, you can use the equation τ = Fd, where τ is the torque you need to produce, F is the force you need to apply at the end of the wrench, and d is the distance between the bolt and the end of the wrench.
To determine the force needed to produce a given torque, you can rearrange the equation to get F = τ/d. So, the force you should apply will depend on the distance between the bolt and the end of the wrench. The longer the wrench, the less force you'll need to apply to produce the required torque. However, you may also need to consider the maximum torque that can be produced by the wrench itself.
A wrench with a higher torque capacity will allow you to tighten the bolt more securely without breaking the wrench. You can use the equation F = τ/d to calculate the force needed to produce a given torque. It's essential to use a wrench with sufficient torque capacity to avoid breaking the wrench or damaging the bolt.
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Given that A=mass number,Z=atomic number and X is the element name. Find 1.Neutron number. 2.element identity. with mass number 54 and proton number 23.
The neutron number can be calculated by subtracting the atomic number from the mass number. In this case, 54 - 23 = 31. Therefore, the neutron number is 31.
To determine the element identity, we need to find the element with a mass number of 54 and a proton number of 23. This can be done by looking at the periodic table. Based on these numbers, we know that the element has 23 protons, which places it in the 23rd position on the periodic table. The element with the atomic number 23 is vanadium (V). Therefore, the element identity is vanadium (V).
In summary, for an element with a mass number of 54 and a proton number of 23, the neutron number is 31 and the element identity is vanadium (V).
To determine the neutron number and element identity, you can use the given mass number (A) and proton number (Z).
1. Neutron number:
Neutron number = Mass number (A) - Proton number (Z)
Neutron number = 54 - 23
Neutron number = 31
2. Element identity:
Since the proton number (Z) is also the atomic number, you can use it to identify the element. With an atomic number of 23, the element is Vanadium (V).
In summary, for the element X with mass number 54 and proton number 23, the neutron number is 31, and the element is Vanadium (V).
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Add your answers to the table below.
Energy Sequence Table
Step 1
Step 2
Energy Form Energy Form
Step 3
Energy Form
Sequence Number
1: Turbine to Power Saw
2: Gas in Your Car
Thermal Chemical
3: Sunshine to Cows
4: Coal Power Plant
5: Wall Socket to Hair Dryer
Part 3: Journal Questions
Complete the following questions using what you learned in the Part 1 and 2 activity and in
an 18toothstraightspu「geart「ansmitsa torqueof1600 n.m. the pitchcircle diameteris 20mm, and the pressure angie is 18.o o. what is most nearlythe radiai force on the gear?
The radial force on the gear is approximately 5041 N.
The radial force on a gear can be calculated by the formula Fr = Ftan(α), where Fr is the radial force, Ft is the tangential force (in this case, the torque), and α is the pressure angle. The tangential force is equal to the torque divided by the pitch circle radius (i.e., Ft = T/r). Therefore, the radial force can be written as Fr = (T/r)tan(α).
To solve the problem, we need to find the pitch circle radius, which is equal to half the pitch circle diameter. So, r = 10 mm. We also know the torque (T = 1600 N.m) and the pressure angle (α = 18°). Plugging these values into the formula, we get:
Fr = (T/r)tan(α)
Fr = (1600 N.m / 10 mm)tan(18°)
Fr ≈ 5041 N
Therefore, the radial force on the gear is approximately 5041 N.
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Can someone help please
Answer:
The correct answer is 24.
Explanation:
How many joules is 3 lightning bolts?
Answer:
one billion to ten billion joules.
Explanation:
To keep a 100-watt light bulb going for one second, one hundred joules of energy will be used.
Answer:
In 3 lightning bolts, there is approximately 1 billion to ten billion joules.
Explanation:
4. Given a circle of radius 5 in, find the length of an arc intercepted on its circumference by a central angle measure of 135". (5 points) √5 5. Given sec M and tan
4. The length of an arc intercepted on its circumference by a central angle measure of 135" is 11.78 in. The formula for finding the length of an arc is given by L= 2πr (θ/360°) where L is the length of the arc, r is the radius of the circle, and θ is the central angle measure in degrees. In this case, the radius of the circle is given as 5 in, and the central angle measure is 135". Converting 135" to degrees, we get 135/60 = 2.25°. Plugging these values into the formula, we get L= 2π(5)(2.25/360) = 11.78 in. Therefore, the length of the arc intercepted on the circumference by a central angle measure of 135" is 11.78 in.
The arc length formula is used to find the length of an arc intercepted by an angle, it is given by:L = rθwhere L is the arc length, r is the radius of the circle, and θ is the central angle in radians.To apply this formula, we must ensure that the central angle is in radians and not degrees. To convert an angle from degrees to radians, we use the following formula:θ (in radians) = θ (in degrees) x (π/180)In the given problem, the radius of the circle is 5 in. We are required to find the length of an arc intercepted on its circumference by a central angle measure of 135°. To solve this problem, we must first convert 135° to radians.θ (in radians) = 135° x (π/180)θ (in radians) = 2.25 radians
Now that we know the value of θ, we can use the formula for arc length to find the length of the arc.
L = rθL = 5 x 2.25L = 11.25 in
Thus, the length of the arc intercepted on its circumference by a central angle measure of 135° is 11.25 in.
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3. Since Aspeon is not expected togrow, Emily believes that the following equations can be used in the valuation analysis: (1) S=[EBIT−kd(D)](1−ks)
(2) V=S+D
(3) P=(V−D0)/n0
(4) n1=n0−D/P
(5) VL=VU+TD
The equations mentioned by Emily in the valuation analysis for Aspeon are as follows:
1) Equation (1): This equation represents the value of equity (S) and calculates it based on the EBIT (earnings before interest and taxes), the tax shield provided by debt (D), and the required return on debt (kd) and equity (ks). It implies that the value of equity is equal to the adjusted EBIT after deducting the tax shield from debt.
2) Equation (2): This equation calculates the total enterprise value (V) by adding the value of equity (S) and debt (D). It represents the total worth of the company, considering both equity and debt.
3) Equation (3): This equation calculates the price per share (P) by dividing the total enterprise value (V) minus the initial debt (D0) by the number of shares (n0). It represents the price per share based on the valuation of the company.
4) Equation (4): This equation calculates the new number of shares (n1) by subtracting the dividend (D) from the initial number of shares (n0) divided by the price per share (P). It represents the adjusted number of shares after the payment of dividends.
5) Equation (5): This equation calculates the levered value (VL) by adding the unlevered value (VU) with the tax shield value (TD). It represents the value of the company after considering the tax advantages of debt.
These equations provide a framework for valuation analysis, considering factors such as earnings, taxes, debt, and equity. They help assess the value and financial implications of Aspeon's growth prospects.
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Electric force varies depending on which two factors?.
Answer:
charge, distance
Explanation:
te distance between the particles and the am amount of electric charge the they carried
A bicyclist coasts down a 6.0 degree hill at a steady speed of 8.0 m/s .Assuming a total mass of 75 kg (bicycle plus rider), what must be the cyclist's power output to climb the same hill at the same speed?Express your answer to two significant figures and include the appropriate units.
The cyclist's power output to climb the same hill (6.0 degree) at 8.0 m/s with a total mass of 75 kg would be 98.1 Watts.
This is calculated by the equation:
Power = Work / Time
Work= Force x Distance x cosθ
Force = Mass (kg) x Acceleration (m/s2) due to gravity x sinθ
So, in this case,
Force = (75 kg) × (9.8 m/s²) × sin 0.105 = 12.55 N.Work done = (12.55 N) × (15.8 m) × cos 0.105 = 196.2 J.Power (W) = Work done/ Time taken = 196.2 J/ (15.8 m/8 m/s) = 98.1 W.To two significant figures, this is 98.1W
Detail solution:
The work done by the cyclist against gravity is equal to the kinetic energy lost by the cyclist as he or she descends. Hence, the work done by the cyclist is given by the equation given below; Wc = ΔKE = (1/2)mv². Since the speed remains constant, the work done by the cyclist is given by the equation given below; Wc = Fc × d × cos θ. Since the speed is constant, the net force acting on the cyclist is zero, and the force required to overcome friction and air resistance is negligible.
The force required to push the cyclist up the hill against gravity is given by the equation given below; Fc = mgsinθ, where m = 75 kg, g = 9.8 m/s² and θ = 6.0°.
Convert θ to radians as shown below;θ = 6.0°× (π/180) = 0.105 radians.
Fc = (75 kg) × (9.8 m/s²) × sin 0.105 = 12.55 N.Wc = (12.55 N) × (d) × cos 0.105, where d is the distance moved by the cyclist up the hill.Since the cyclist ascends the same hill at the same speed, the distance moved by the cyclist up the hill is equal to the distance moved by the cyclist down the hill. Hence, d = L/sin θ where L is the length of the hill, and θ is the angle of the hill in radians.
θ = 6.0° × (π/180) = 0.105 radiansL = (d) × sin θ = 150 m × sin 0.105 = 15.8 m.Wc = (12.55 N) × (15.8 m) × cos 0.105 = 196.2 JPower = Work done/ Time taken = 196.2 J/ (15.8 m/8 m/s) = 98.1 WThus, the power output of the cyclist is 98.1 W.
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a 4.0 m radius circular platform accelerates from rest at 10.0 rad/s2. what is the linear displacement of the edge of the circular platform after 2.0 s?
A 4.0 m radius circular platform accelerates from rest at 10.0 rad/s2. The linear displacement of the edge of the circular platform after 2.0 s will be 80 m .
theta = omega * t + 1/2 * alpha * \(t^{2}\)
omega = angular velocity
alpha = angular acceleration
using equation
theta = omega * t + 1/2 * alpha * \(t^{2}\)
= 0 + 1/2 * 10 * 4 = 20 rad
linear displacement = radius * theta
= 4 * 20 = 80 m
A 4.0 m radius circular platform accelerates from rest at 10.0 rad/s2. The linear displacement of the edge of the circular platform after 2.0 s will be 80 m .
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C) When the water drops to a low level, the heater automatically switches off. Explain what problem would be caused if the heater did not automatically switch off.
If the heater did not automatically switch off when the water drops to a low level, it could cause a serious problem. The heater would continue to heat the water, which could boil and evaporate. This could damage the heater and create a fire hazard. It could also waste energy and increase the electricity bill. Therefore, the automatic switch-off feature is important for safety and efficiency.
About AutomaticAutomatic transmission is a transmission that automatically shifts acceleration gears. To change the speed level in this automatic transmission system, a friction mechanism and automatic transmission oil pressure are used.
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A 31 kg object is experiencing a net force of 25 N while traveling in a circle of radius 25m. What is its velocity?
Answer:
4.5m/s
Explanation:
Given parameters:
Mass of object = 31kg
Net force = 25N
radius = 25m
Unknown:
Velocity = ?
Solution:
To solve this problem, we must understand that the net force here is a centripetal force.
F = \(\frac{mv^{2} }{r}\)
F is the centripetal force
m is the mass
v is the velocity
m is the mass
25 = \(\frac{31 x v^{2} }{25}\)
31v² = 625
v² = 20.2
v = 4.5m/s