An Olympic athlete set a world record of 9.57 s in the 100-m dash. Did his speed ever exceed 37 km/hr during the race? Explain. Select the correct choice below and fill in any answer boxes to complete your choice. (Round to one decimal place as needed.) O A. The average speed is km/hr. By the Mean Value Theorem, the speed was exactly km/hr at least once. By the Intermediate Value Theorem, all speeds between and km/hr were reached, therefore the athlete's speed exceeded 37 km/hr. OB. The average speed is km/hr. Since this value is below 37 km/hr, it is impossible to tell if his speed exceeded 37 km/hr. O C. The average speed is km/hr. By the Mean Value Theorem, the speed was exactly km/hr at least once. By the Intermediate Value Theorem, all speeds between and km/hr were reached, therefore the athlete's speed never exceeded 37 km/hr.
Answers
The answer to the question is (C) The average speed is km/hr.
By the Mean Value Theorem, the speed was exactly km/hr at least once. By the Intermediate Value Theorem, all speeds between and km/hr were reached, therefore the athlete's speed never exceeded 37 km/hr. In this question, we are being asked to find out whether the Olympic athlete's speed ever exceeded 37 km/hr during the race.
For that, we have to calculate the average speed of the athlete during the race. Given that the athlete set a world record of 9.57 s in the 100-m dash. To calculate the average speed, we use the formula:
Average speed = Distance / TimeIn this case, the distance is 100 m, and the time taken by the athlete is 9.57 seconds. So, the average speed of the athlete can be calculated as follows:
Average speed = 100 m / 9.57 s= 10.44 m/s
Now, we have to convert m/s into km/hr.1 m/s = 3.6 km/hr
Therefore, 10.44 m/s = 37.584 km/hr.
So, the average speed of the athlete during the race is 37.584 km/hr. Since the average speed of the athlete is below 37 km/hr, we cannot say for sure if the athlete's speed exceeded 37 km/hr during the race. But, by the Mean Value Theorem, we know that the speed was exactly 37.584 km/hr at least once. By the Intermediate Value Theorem, all speeds between 0 km/hr and 37.584 km/hr were reached during the race. Therefore, we can conclude that the athlete's speed never exceeded 37 km/hr during the race.
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Related Questions
Jill is 16 years old and worked at her local grocery store over the summer earning $5,600. Is Jill legally required to file a tax return? If no, should she? Explain
Answers
Since the income of Jill is $5,600, she does not need to file tax returns
When does a teenager file a tax return?It is important to note that the law does not just exclude teenagers from tax payment on the basis of age but on the basis of the volume of earned or unearned income.
Now, A teenager must file tax returns when his/her unearned income is over $1,050, or his/her earned income is over $6,350. In this case Jill earning $5,600 does not need to file a tax return.
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A car can go from 0 m/s to 38 m/s in 4.5 seconds. If a net force of 6570 N acted on
the car, what is its mass
Answers
The Mass of the car = 782.1 Kg
What is the mass of the car?The mass of the car is calculated as follows:
Mass = Force/ accelerationThe force on the car = 6570 N
The acceleration of the car, a = 38 - 0/4.5
acceleration = 8.44 m/s²
Mass of the car = 6570/8.44
Mass of the car = 782.1 Kg
In conclusion, the mass of the car is obtained from the acceleration and force on the car.
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need help with ques #7 and #9
Answers
Answer:
here's the answer to your question
The magnetic field in the region between the poles of an electromagnet is uniform at any time, but is increasing at the rate of 0. 60 T/s. The area of the conducting loop in the field is 0. 090 m^2. The total circuit resistance, including the meter, is 5. 0 Ω. What is the induced current in the circuit?
A 0. 033 A
B 0. 750 A
C 0. 011 A
D 0. 270 A
Answers
The induced current in the circuit is 0.011 A, which is option C.
The induced emf in the loop is given by Faraday's law of electromagnetic induction,
emf = -N(dΦ/dt)
where N is the number of turns in the loop and dΦ/dt is the rate of change of magnetic flux through the loop.
In this case, N = 1 (single turn loop) and dΦ/dt = BA/t, where B is the magnetic field, A is the area of the loop, and t is the time.
emf = -N(dΦ/dt) = -(BA/t)
The negative sign indicates that the induced emf produces a current that opposes the change in magnetic flux through the loop.
The induced current in the circuit is given by Ohm's law,
I = emf/R
where R is the total resistance in the circuit, including the meter.
Substituting the given values,
emf = -(B*A/t) = -(0.60 T/s * 0.090 m^2 / 1 s) = -0.054 V
I = emf/R = (-0.054 V) / (5.0 Ω) = -0.011 A
The negative sign indicates that the induced current flows in the opposite direction to the conventional current direction assumed in the circuit. Taking the absolute value,
|I| = 0.011 A
Hence option C is correct.
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Which current is produced in homes? magnetic voltage alternating direct
Answers
Answer:
Alternating
Explanation:
Edge 2020
What is the electric force between a +3 µC point charge and a –3 µC point charge if they are separated by a distance of 5.0 cm? Show your work. (µC = 1.0 × 10–6 C)
Answers
The electric force between a +3 µC point charge and a –3 µC point charge if they are separated by a distance of 5.0 cm can be calculated by using Coulomb’s law. F = kq1q2 / r²F = (9.0 × 109 N·m2/C2) × (3.0 × 10-6 C) × (-3.0 × 10-6 C) / (0.05 m)²F = -243 N
The electric force between a +3 µC point charge and a –3 µC point charge if they are separated by a distance of 5.0 cm can be calculated by using Coulomb’s law.
Coulomb’s law states that the electric force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Mathematically, F = kq1q2 / r²where, F is the electric forceq1 and q2 are the magnitudes of the two charges is Coulomb’s constant (9.0 × 109 N·m2/C2)r is the separation between the two charges.
Let's use the values from the question to calculate the electric force: F = kq1q2 / r²F = (9.0 × 109 N·m2/C2) × (3.0 × 10-6 C) × (-3.0 × 10-6 C) / (0.05 m)²F = -243 N (the negative sign indicates that the force is attractive)Therefore, the electric force between the two charges is 243 N.
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a charged particle moves in a uniform magnetic field of 0.651 t with a period of 7.65×10−6 s. find its charge-to-mass ratio ||/. ||=
Answers
A charged particle moving in a uniform magnetic field experiences a force that causes it to move in a circular path. The period of this motion can be used to find the charge-to-mass ratio (q/m) of the particle.
The formula for the period (T) is:
T = 2πm / (qB)
Where:
T = 7.65 × 10⁻⁶ s (given period)
m = mass of the particle
q = charge of the particle
B = 0.651 T (given magnetic field strength)
To find the charge-to-mass ratio (q/m), rearrange the formula:
q/m = 2π / (TB)
Now, plug in the given values:
q/m = 2π / (7.65 × 10⁻⁶ s × 0.651 T)
q/m ≈ 1.36 × 10⁷ C/kg
The charge-to-mass ratio of the charged particle is approximately 1.36 × 10⁷ C/kg.
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When the atmosphere is absolutely unstable, the environmental lapse rate is ________ the dry adiabatic lapse rate.
Answers
Answer: greater than
Explanation:
name any two instruments based on archimede's principle
Answers
Two instruments based on Archimedes' principle
LactometershydrometersExplanation:
Archimedes' principle states -
when a body is partially or completely immersed in a fluid , the fluid exerts an upward force on the body which is equal to the weight of the fluid displaced by the body.OR
when a body is immersed fully of partially in a fluid , it experiences an upward force that is equal to the weight of the fluid displaced by it.Applicatios : Lactometer , hydrometer.
Help please!!!! What is the difference between the type of smog experiences by cities in the eastern United States and that found in Southern California?
Answers
Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.
What is Smog?Smog development and infiltration over Los Angeles. haze and air pollution in the entire community.
Burning sulfur-containing fossil fuels, particularly coal, causes sulfurous smog, also referred to as "London smog," which is characterized by a high concentration of sulfur oxides in the atmosphere.
The two primary substances in automotive exhaust are nitrogen oxides, which are created in scorching internal combustion engines, and hydrocarbons, which are derived from gasoline.
Therefore, Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.
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HEY CAN ANYONE PLS ANSWER THESE QUESTION!!!!!
Answers
1. A model can come in many shapes, sizes, and styles.
✅
2. Models can help scientists communicate their ideas, understand processes, and make predictions.
✅
3. Thomson's experiments with cathode ray tubes showed that all atoms contain tiny negatively charged subatomic particles or electrons.
✅
4. The plum pudding model has electrons surrounded by a volume of positive charge
✅
5. Electrons are kept in the orbit around the nucleus by the electromagnetic force.
IamSugarbee
Two point charges are separated by some distance. The first charge is positive. The second charge is negative, with a charge magnitude twice as large as that of the positive charge. Is it possible to find a place to bring a third charge in from infinity without changing the total potential energy of the system?.
Answers
No, it is not possible to bring a third charge in from infinity without changing the total potential energy of the system.
Potential energy for the first two charger is,
\(U=\frac{1}{4\pi E_{0} } \frac{q_{1}q_{2} }{r_{12} }\)
This will change for adding a third charge no matter I it's sign, given as,
\(U=\frac{1}{4\pi E_{0} } [\frac{q_{1}q_{2} }{r_{12} } +\frac{q_{1}q_{3} }{r_{13} }+\frac{q_{2}q_{3} }{r_{23} }]\)
Hence not possible to find a place to bring a third charge in from infinity without changing the total potential energy of the system
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u-shaped Tube of uniform cross-sectional area, the length of each branch is 33 cm and its area is 2cm² contains an amount of mercury of height 6.8cm. find the volume of the largest amount of water that can be poured in one of the two branches knowing that the density of water is 1 g/cm³, the density of mercury is 13.6 g/cm³
Answers
The maximum volume of water that can be poured into one of the branches is 2 cm² x 3.4 cm = 6.8 cm³.
Let's first find the volume of the mercury in the tube.
The height of the mercury in the tube is 6.8 cm. Since the cross-sectional area of the tube is uniform, the volume of the mercury is given by:
Volume of mercury = area of cross-section x height of mercury
= 2 cm² x 6.8 cm
= 13.6 cm³
Now, let's find the maximum volume of water that can be poured into one of the branches. We'll assume that all the mercury in that branch is pushed up to the top of the branch, and that the water is poured in until it reaches the same height.
Let's call the height of the water in the branch "h".
The volume of water in the branch is then given by:
The volume of water = area of cross-section x height of water
= 2 cm² x h
For the water to reach the same height as the mercury in the other branch, we need:
Volume of water = Volume of mercury
2 cm² x h = 13.6 cm³
Solving for h, we get:
h = 6.8 cm³ / 2 cm²
h = 3.4 cm
Therefore, the maximum volume of water that can be poured into one of the branches is 2 cm² x 3.4 cm = 6.8 cm³.
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an 8 3 4 -inch circular power saw rotates at 4,500 revolutions per minute. (round your answers to two decimal places.) (a) find the angular speed of the saw blade in radians per minute. incorrect: your answer is incorrect. rad/min (b) find the linear speed (in feet per minute) of one of the 24 cutting teeth as they contact the wood being cut. incorrect: your answer is incorrect. ft/min
Answers
(a) Angular speed of the saw blade in radians per minute is:
(b) The linear speed (in feet per minute) of one of the 24 cutting teeth as they contact the wood being cut is 286.68 ft/min.
What is angular speed?Angular speed formula is used to calculate the distance that the body covers in terms of rotations or revolutions to the time taken.
The angular speed of the saw blade in radians per minute is calculated as 785.39 rad/min. (b) linear speed of one of the cutting teeth in feet per minute is 286.68 ft/min
(a) Given, 4,500 revolutions per minute
rad/min = RPM * 2 * pi / 60
So, angular speed of the saw blade in radians per minute is:
rad/min = 4,500 * 2 * pi / 60 = 785.39 rad/min (rounded to two decimal places)
(b) Given, 24 cutting teeth. Circumference of a circle is given by the formula: C = 2 * pi * r
r is radius of the circle.
linear speed (v) is given by the formula: v = r * w
w is angular speed in radians per second.
So, you can find linear speed of one of the cutting teeth in feet per minute as: r = (8 3/4 inches) / 2 = 4.375 inches
C = 2 * pi * 4.375 inches = 27.54 inches
w = 785.39 rad/min
v = r * w = 4.375 inches * 785.39 rad/min = 3440.21 inches/min
3440.21 inches/min = 286.68 ft/min
So, linear speed of one of the cutting teeth in feet per minute is 286.68 ft/min.
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in the high-impedance state, tri-state devices:allow input data to pass through the device.have their outputs electrically isolated from other circuits.have their enables electrically isolated from other circuits.have their inputs electrically isolated from other circuits.
Answers
In the high-impedance state, tri-state devices have their outputs electrically isolated from other circuits.
This means that the output pins of the device are effectively disconnected from any other circuit, allowing other devices to control the signal on those pins. The tri-state device itself does not drive the output pins in this state, but instead allows the signal to pass through unimpeded.
The inputs and enables of the device may or may not be electrically isolated from other circuits, depending on the specific implementation of the device.
In the high-impedance state, tri-state devices have their outputs electrically isolated from other circuits. This means that the output of the tri-state device is not connected to any other circuits and does not affect their operation. This allows for efficient data communication between multiple devices on a shared bus without interference.
However, it is the isolation of the outputs that is the defining characteristic of the high-impedance state for tri-state devices.
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changr 20 min in to hr
Answers
Answer:
change 20 min into hr = 0.33 hr
Explanation:
convert= divide the time by 60 because 60 mins make 1 hr
An aneurism refers to?
a. a blocked blood vessel
b. varicose vein
c. a hole or weakness in an artery
d. plaque development on the inside of artery wall
Answers
Answer:
The correct answer is a blocked blood vessel.
Explanation:
Hope this helped Mark BRAINLIEST!!!
A student lifts
an apple to a height of 1 m.
The apple weighs 1 N. How
much work does the student
do on the apple?
Answers
Use the work formula:
W = Fd
Replacing we have:
W = 1 N * 1 m
Resolving operation:
W = 1 J
The work efectuated is 1 Joule.
The net force on an object is 200 N. The object accelerates at 10 m/s? What is the mass of the object ?
Answers
Answer:
F=200 N
a=10m/s2
F=ma
m=F/a=200/10=20m
Explanation:
What happens to sediment as a result of erosion and deposition?
(Basically what happens when Erosion or Deposition occur I think. Pls tell me if I was right along with your answer.)
Answers
Answer:
In the explanation
Explanation:
After erosion and eruptions which is a primary occuration for sediments, this will create heat and tough pressure leading the sediment to be extremely stable and Hard.
The body can get water from milk, juices, fruits, and vegetables.
Answers
Answer: yes it can but not enough to stay hydrated and keep your body going but you cant get water from milk lol
Explanation: hope this helpes
Answer:
Yes This would be True hope this helps
Explanation:
What is the gravitational relationship between two objects?
object push
objects pull
objects push and pull
none of the above
Answers
In which part of the EM spectrum do you see the colors red, orange, yellow, green, blue, indigo, and violet (ROYGBIV);
gamma rays
ultraviolet rays
microwaves
visible light
Answers
Answer:
gamma rays
Explanation:
hope it helps
the power required to operate the logic circuits of the processor unit is typically
Answers
The power required to operate the logic circuits of the processor unit is typically dependent on the clock frequency, the number of transistors and other components, and the efficiency of the power supply used in the system.
The power required to operate the logic circuits of the processor unit is primarily due to the operation of the transistors. The processor's transistor count has risen significantly with time to offer a greater processing capability, leading to more power usage. To optimize performance, processors' clock frequencies have also been raised, increasing power usage even more.
The development of processors and their efficiency has improved significantly over time, with the goal of achieving higher performance with lower power usage. So, to answer your question, the power required to operate the logic circuits of the processor unit is typically dependent on the clock frequency, the number of transistors and other components, and the efficiency of the power supply used in the system.
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The speed limit sign in indiana reads 60 miles per hour. convert these units to meters per second
Answers
Answer:
26.822 m/s
Explanation:
60 mi/hr * 5280 ft/mile * 1 hr / 3600 sec * 12 in / foot * 1 meter / 39.37 in = 26.822 m/s
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. 60 miles per hour in m/s is 26.82 m/s.
Speed is a scalar quantity that describes "how fast an object is moving." The rate at which an object travels a distance can be thought of as its speed. A fast-moving object travels at a high speed and completes a significant distance in a brief period of time.
60 miles per hour is converted into meters per second is:
1 miles / hr = 0.44704 m/s
60 miles / hr = 60 × 0.44704
60 miles /hr = 26.82 m/s
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Draw a diagram that shows a 3-N force, a 5-N force, and an 8-N force acting on a single block that is in equilibrium. Can you
Also explain it. Please?
Answers
Explanation:
Since it is mentioned that the block is in equilibrium, this means the resultant force is zero, and all the forces cancel out each other.
You have to think it in a way so that, the forward force cancel out the backward force. Check the picture attached, on the forward side,
3N + 5N = 8N which cancel out the backward force of 8N
a nearsighted person has a far point of 33 cm. what focal length of contact lens would allow the person to see at a distance?
Answers
The focal length of the contact lens required by the nearsighted person is 33 cm.
The far point of the nearsighted person is 33 cm.
The focal length of contact lens which would enable the person to see at a distance.
The lens formula,1/f = 1/v - 1/u
u = distance of the object from the lens v = distance of the image from the lens v is taken to be at infinity as the person wants to see the object at a distance. Thus, v = ∞ (infinity).
Therefore,1/f = 1/∞ - 1/33 cm = -1/33 cm
f = -33 cm
Therefore, the focal length of the contact lens required by the nearsighted person is 33 cm (the negative sign indicates the nature of the lens as it is a concave lens).
The focal length of the contact lens required by the nearsighted person is 33 cm.
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changes in acceleration:unbalanced forces::__________:balanced force a no changs in acceleration b gravity c stretched rubber band d friction
Answers
Answer:
Explanation:
No changes in acceleration
Man pushes a shopping cart to the right with 93 N of force and travel 23 m to tge right how much work is done on shopping cart ?
Answers
A monochromatic ray of light (f=5.09 x 10^14 Hz) travels from air into sodium chloride. Calculate the speed of light in sodium chloride.
Answers
Answer:
1.95 * 10^8 ms-1
Explanation:
Let us recall that;
Refractive index (n) = Frequency of light in air/Frequency of light in another medium
If Frequency of light in air = 5.09 x 10^14 Hz
Refractive index of sodium chloride = 1.54
Then;
Frequency of light in sodium chloride = Frequency of light in air/Refractive index of sodium chloride
Therefore;
Frequency of light in sodium chloride = 5.09 x 10^14 Hz/1.54
Frequency of light in sodium chloride = 3.31 x 10^14 Hz
So;
n= Frequency of light in air/Frequency of light in sodium chloride = Speed of light in air/speed of light in sodium chloride
speed of light in sodium chloride = Frequency of light in sodium chloride * Speed of light in air/Frequency of light in air
speed of light in sodium chloride = 3.31 x 10^14 Hz * 3 * 10^8 ms-1/5.09 x 10^14 Hz
speed of light in sodium chloride = 1.95 * 10^8 ms-1