I need a formula to help understand how to get the answer?

I Need A Formula To Help Understand How To Get The Answer?

Answers

Answer 1

From the table:

When time;

[tex]t_1=0\text{ s}[/tex]

The position;

[tex]x_1=20\text{ m}[/tex]

And when time,

[tex]t_2=4\text{ s}[/tex]

The position;

[tex]x_2=40\text{ m}[/tex]

The average velocity is given as,

[tex]\begin{gathered} v_{av}=\frac{\text{ total displacement}}{\text{ total time taken}} \\ =\frac{x_2-x_1}{t_2-t_1} \end{gathered}[/tex]

Substituting all known values,

[tex]\begin{gathered} v_{av}=\frac{(40\text{ m})-(20\text{ m})}{(4\text{ s})-(0\text{ s})} \\ =5\text{ m/s} \end{gathered}[/tex]

Therefore, the average velocity at t=4 s is 5 m/s.


Related Questions

For 3.5 seconds, an ostrich ran west at 2.6 meters per second. In that time, how far did it
run?
Write your answer to the tenths place.

Answers

The distance covered by an ostrich in 3.5 seconds by running at the speed of 2.6 meters per second is 9.1 m.

What is distance?

Distance is the measurement of how far the objects under consideration are. It can be measured in terms of meters, centimeters, kilometers etc. Distance is a scalar quantity unlike displacement which is a vector quantity.

The distance covered by an ostrich can be calculated as,  d = s * t

where d is distance, s is speed and t is the time taken.

d = 2.6 ms^-1 * 3.5 s = 9.1 m.

Therefore, the ostrich ran for 3.5 seconds to cover 9.1 m distance at the speed of 2.6 meters per second.

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3. Is converting wood into saw dust a reversible change? Give one reason for your answer

Answers

No, conversion of wood to sawdust is an irreversible change, because a block of wood after grounding into sawdust cannot be changed into the same block of wood

Which of the following is NOT a means to determine the efficiency of a machine? A) useful work output/work input B) useful power output/power input C) effort x distance moved by effort/load distance moved by load D) load x distance moved by load/effort x distance moved by effort

Answers

In general terms, efficiency is output/input.

For a lever, the effort is the input and load is the output.

Thus, option C is not a means to determine efficiency as effort is the input and load is the output.

The speed of light in a vacuum is 299,792,458 meters per second (m/s). Which number, written in scientific notation, is the best approximation of the speed of light?.

Answers

The speed of the vacuum will be 2.99792458, which is equivalent to 3.0

A greater numerical value can be expressed in a very tiny number using scientific notation. This is accomplished by taking the number's single decimal form and raising the other numbers to the power of 10.

The number suiting the best approximation for the speed of light is:3×10⁸

The determination of the base and power are as follows:

The speed of light in a vacuum is 299,792,458 meters per second.

The total number of digits is 9

As per the rules, the power to 10 is always a total number of digits less than 1.

So the power to 10 will be:

Power to 10, so the Total digit is 1

9-1= 8

The speed of the vacuum will be 2.99792458, which is equivalent to 3.0

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What power is emitted by a circuit with a 9.00 volt battery and a 50.0 Ohm resistor? A)450 W B)0.00222 W C)1.62 W D)5.55 W E)0.180 W

Answers

Given,

Voltage, V=9 V

Resistor, R=50.0 ohm

To find

The power emitted by the battery.

Explanation

The power is:

[tex]\begin{gathered} P=\frac{V^2}{R} \\ \Rightarrow P=\frac{9^2}{50} \\ \Rightarrow P=1.62\text{ W} \end{gathered}[/tex]

Conclusion

The power is: C.1.62W

In Ørsted’s observation, the current-carrying wire acted like a
. Michael Faraday based his first invention, the
, on Ørsted s observation.

Answers

In Ørsted’s observation, the current-carrying wire acted like  option B)magnet

Michael Faraday based his first invention, the C) motor, on Ørsted s observation.

What did Oersted and Faraday find, respectively?

The two laws that relate electricity and magnetism the other being Faraday's law of induction were originally discovered as a result of rsted's discoveries. These two rules were incorporated into Maxwell's equations, which control electromagnetic.

Note that When a magnetic compass needle was brought in close proximity to a wire carrying current, Oersted noticed that it dramatically deflected. Since of this result, he came to the conclusion that a wire can function as a magnet because moving charges in the form of a current possess a certain magnetic field.

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See correct question below

In Ørsted’s observation, the current-carrying wire acted like a

A)generator

B)magnet

C)motor

Michael Faraday based his first invention, the (______),on Ørsted s observation.

A)electromagnet

B)generator

C)motor

What substance is the usable source of the energy that a cell uses for the synthesis of materials?.

Answers

The usable source of the energy that a cell uses for the synthesis of materials is ATP.

ATP stands for adenosine triphosphate.

The cellular energy standard is ATP.They are energy-carrying molecules that are by-products of photophosphorylation reactions.The primary energy sources for ATP include minerals, carbohydrates, lipids, proteins, etc.

When the cell needs energy, ATP can be taken out and used to fuel reactions or stored for use in later ones.

Animals use ATP to store the energy released during food digestion. Similar to this, plants use ATP molecules to store the energy they obtain from light during photosynthesis.

The usable source of the energy that a cell uses for the synthesis of materials is ATP.

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What is MECHANICAL ADVANTAGE? How is it calculated?​

Answers

Mechanical advantage is a form of calculation that measures an increase in applied force when force is applied using a mechanical device, tool, or mechanism such as a lever, gear, or pulley system.

IMA=Fr’/ Fe

let you are running at 15 meter/sec and declerates at 4 meter/sec square
a. how long will you have take to stop
b. how far will you go while declerating

Answers

Answer:

a. 3.75 s b. 28.125 m

Explanation:

Data

Vi = 15 m/s

Vf = 0 m/s

a = -4 m/s²

i) t = ?

ii) S = ?

Solution

i) Using Newton's 1st Eq of Motion

Vf = Vi + at

t = (Vf - Vi) / a

t = (0 - 15) / -4

t = 3.75 s

ii) Using Newton's 3rd Eq of Motion

2aS = Vf² - Vi²

S = (Vf² - Vi²) / 2a

S = (0² - 15²) / 2 x -4

S = 28.125 m

Which type of electromagnetic radiation could be described using the wave model? a)X-raysb)Radio wavesc)all of these

Answers

All types of light (EM radiation) can be represented using the wave model. X-rays and radio waves are both light (in different wavelength ranges), therefore they can both be represented by the wave model.

Answer: c) all of these

20 points if right help please

Answers

Answer:

G

Explanation:

Fossil fuels e.g., coal, oil and gas are non renewable energy sources because they take years to form.

The Jamaican bobsled team hit the brakes on their sled so that it decelerates at
a
uniform rate of 0.43 m/s?. How long does it take to stop if it travels 85 m before
coming to rest?

Answers

the answer is in the photo

hopes it help!

Your friend wants to solve the world's energy problems by inventing a device that will deliver ten times more energy than put into the device. Can this device work? Explain.

Answers

No because you cannot produce more energy than what was put in. (conservation of energy)

what is the final velocity (magnitude and direction) of a 100-kg rugby player who is initially running at 8.00 m/s east but collides head-on with a padded goal post and experiences a backward force of 1.8 x104 n for 0.05 second.

Answers

The final velocity of a 100-kg rugby player which collides head-on with a padded goal post is 53 m/s.

The change in momentum (p) over the change in time (t) equals force (F).

then,

F = [tex]\Delta\\[/tex]p / t

[tex]\Delta\\[/tex]p  = F x  t

[tex]\Delta p = F_{net} t \\\Delta p = mv' - mv\\mv' - mv= F_{net} t \\mv' = mv + F_{net} t[/tex]

m = 100kg

v = 8 m/s

F =  0.9 x 10⁴ N

t = 0.5 second

using these values in above equation we can calculate final velocity as :

100v' = 0.9 x 10⁴x 0.5 + 100 x 8

100v' = 4500 + 800

100v' = 5300

v' = 5300/100

100v' = 53 m/s.

The final velocity of a 100-kg rugby player which collides head-on with a padded goal post is 53 m/s.

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A person applies 120 N of force to the end of a shovel and moves the handle
through 0.5 m. If the dirt he moves weighs 170 N, how far is the dirt moved

Answers

The illustration below shows a person applying a 300 Newton force to a shovel handle that is at a 60° angle with the ground.

How do you determine force?

Newton's second law of motion provides the definition of the force formula: An object's force is equal to its mass times its acceleration. F = m ⨉ a. To apply this formula, you must use SI units for force (newtons), mass (kilograms), and acceleration (meters per second squared).

What does a force unit mean?

The newton, abbreviated N, is the SI unit of force. The symbol for the length unit of a metre is m. The base units that are relevant to force are: the mass unit known as the kilogram (kg).

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47) The moment of inertia of a 0.98-kg bicycle wheel rotating about its center is 0.13 kg · m2. What is the radius of this wheel, assuming the weight of the spokes can be ignored?

Answers

Answer:

0.36 m

Explanation:

The moment of inertial of a wheel can be calculated as

[tex]I=mr^2[/tex]

Where r is the radius of the wheel and m is its mass.

Solving the equation for r, we get

[tex]r=\sqrt[]{\frac{I}{m}}[/tex]

So, replacing I by 0.13 kg m2 and m by 0.98 kg, we get

[tex]r=\sqrt[]{\frac{0.13\operatorname{kg}\cdot m^2}{0.98\operatorname{kg}}}=0.36\text{ m}[/tex]

Therefore, the radius of the wheel is 0.36 m

In 45 seconds a car accelerates 10 m/sec? to 110 m/sec. How fast was the car going before it accelerated?

Answers

The acceleration of the car is 2.22m/s²

Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations.

We are given that,

The average speed of the car = V = Vf -Vi = 110m/s - 10m/s = 100m/s

The rate of car to accelerate = t = 45sec

Therefore, the acceleration of the car can be calculated as,

a =  (Vf -Vi)/t

a = (100m/s)/45sec

a = 2.22m/s²

Thus ,the acceleration of the car would be 2.22m/s².

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You are lying in bedA)List the internal forces that are acting on the mattressB)What is the external force acting on the mattress

Answers

Given:

Someone is lying on the bed.

To find:

A) the internal forces on the mattress

B) The external forces on the mattress

Explanation:

A) The internal forces acting on the mattress are:

1. When someone lies on the mattress, there is tension inside the mattress.

2. There is compression on the mattress.

3. Also there are torsion and shear

B) The external force:

The external forces are the

1. The force of gravity or the weight of the person on the mattress

2. The normal reaction on the mattress

3. The friction between the mattress and the person

A 2 kg object is moving to the right with a speed of 1 m/s when it experiences an impulse of 4 ns.

Answers

The object's velocity after the force ends equals 3.0 m/s, moving to the right.

Velocity is described as a vector measurement of the charge and path of motion. Placed truly, speed is the velocity at which something moves in one course. The velocity of an automobile travelling north on a chief parkway and the velocity of a rocket launching into the area can each be measured using speed.

The distinctive styles of velocities are uniform speed, variable velocity, common pace and immediate pace. Uniform velocity: A body is stated to be shifting with uniform speed if its average pace among any two factors along its course is equal in importance as well as path.

The SI unit of velocity is metre per/sec (m/s). as an alternative, the speed magnitude can also be expressed in centimetres per 2nd (cm/s).

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A rock is thrown upwards at a 90o angle with a velocity of 15.8. What is the total hang time of the rock?

Answers

Answer:

Below

Explanation:

When ball reaches max height its velocity = 0   and it is 1/2 of the way through its roundtrip

vf = vo   +  at

0   = 15.8  - 9.81 t         shows t = 1.61 s  

      for the roundtrip   2   x 1.61 = 3.22 s

Car AMass: 1,500 kgVelocity: 10 m/sCar BMass: 1,500 kgVelocity: 25 m/sCar CMass: 1,000 kgVelocity: 10 m/sWhich order shows decreasing momentum?A, B, CB, A, CC, B, A

Answers

Answer:

B, A, C

Explanation:

The momentum is equal to the mass times the velocity, so for each car the momentum is equal to

Car A

Momentum = Mass x Velocity

Momentum = 1,500 kg x 10 m/s

Momentum = 15,000 kg m/s

Car B

Momentum = Mass x Velocity

Momentum = 1,500 kg x 25 m/s

Momentum = 37,500 kg m/s

Car C

Momentum = Mass x Velocity

Momentum = 1,000 kg x 10 m/s

Momentum = 10,000 kg m/s

Then, the decreasing momentum is B, A, C because

37,500 is greater than 15,000 and 15,000 is greater than 10,000

So, the answer:

B, A, C

A car traveling at 13.6 meters per second crashes into a barrier and stops in 0.321 meters.a. How long does it take the car to stop? Include units in your answer. Answer must be in 3 significant digits.

Answers

Given,

The initial velocity of the car, u=13.6 m/s

The final velocity of the car, v=0 m/s

The distance covered by the car, d=0.321 m

From the equation of the motion,

[tex]v^2-u^2=2ad[/tex]

On rearranging the equation,

[tex]a=\frac{v^2-u^2}{2d}[/tex]

This is the acceleration of the car which brings the car to rest after the collision.

On substituting the known values,

[tex]\begin{gathered} a=\frac{0-13.6^2}{2\times0.321} \\ =-288m/s^2 \end{gathered}[/tex]

From another equation of the motion,

[tex]v=u+at[/tex]

On rearranging the above equation,

[tex]t=\frac{v-u}{a}[/tex]

On substituting the known values,

[tex]\begin{gathered} t=\frac{0-13.6}{-288} \\ =0.0472\text{ s} \end{gathered}[/tex]

Thus the car comes to stop in 0.0472 seconds.

The speed of a car is decreased uniformly from 30. meters per second to 10. meters per second in 4.0 seconds.

Answers

Answer: The car slows down by 10 meters per second every second.

Explanation:

AnswerThe speed of a car is decreased uniformly from 30. meters per second to 10. meters per second in 4.0 seconds. What was the car's acceleration ?

We have the following data:

V (final velocity) = 10 m/s

Vo (initial velocity) = 30 m/s

ΔV  (speed interval)  = V - Vo → ΔV  = 10 - 30 → ΔV  = - 20 m/s

ΔT (time interval) = 4.0 seconds

a (average acceleration) = ? (in m/s²)

Explanation:

A
2.0

kg
2.0kg2, point, 0, start text, k, g, end text box is at rest on a table. The static friction coefficient
μ
s
μ
s

mu, start subscript, s, end subscript between the box and table is
0.40
0.400, point, 40, and the kinetic friction coefficient
μ
k
μ
k

mu, start subscript, k, end subscript is
0.20
0.200, point, 20. Then, a
5.0

N
5.0N5, point, 0, start text, N, end text horizontal force is applied to the box.

Answers

The estimate of the magnitude of the box's acceleration is a= 0 m/s².

What is frictional force?

The force that is created between surfaces that are sliding against one another is known as the frictional force. Frictional force is referred to as a contact force because it develops whenever two surfaces come into contact. Walking on a road is a good example of frictional force.

Limiting value of frictional force = [tex]\mu_{N}[/tex] = umg

[tex]\mu_{N}[/tex] = 0.4×2×10 = 8 N

As applied force i.e. 5 N is less than limiting value of frictional force therefore the block will not move

hence

a= 0 m/s².

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Complete question is "A 2.0 kg box is at rest on a table. The static friction coefficient, between the box and table is 0.40, and

the kinetic friction coefficient is 0.20. Then, a 5.0 N horizontal force is applied to the box.

What is the best estimate of the magnitude of the box's acceleration?".

A=0 m/s2 is the estimated value for the box's acceleration.

How does frictional force work?

Frictional force is the force produced when sliding surfaces come into contact with one another. Because it arises anytime two surfaces touch, frictional force is also known as a contact force. Frictional force can easily visualized by walking on a road.

Frictional force's maximum value is equal to umg = 0.4 2 10 = 8 N.

The block won't move since the applied force of 5 N is less than the frictional force's limiting value, hence a= 0 m/s2.

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You swing a weight attached to a string in a vertical circle. at the top of the circle the string just barely goes slack for an instant. part a choose the correct statement for the the centripetal acceleration of the weight.

Answers

If the ball isn't travelling as swiftly as the force is pushing itself to keep it moving (in a circular motion), it will fall because gravity and tension pull downward at the top of the swing.

Speed is calculated using the distance travelled and the time needed to cover that distance. Speed is a scalar number because it just has a vector and no magnitude.You can determine something's average speed if you know how far it has travelled and how long it took to get there. One can determine speed by simply dividing by the amount of time. Stride length and cadence both affect running pace. The stride cadence is the frequency of steps taken per second, and the stride length is the distance covered by each step. Combining these factors yields a precise mathematical description of running.

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8. Compare a battery to a Genacon electric generator. How are they similar? How are they different?
Use the terms "energy" and "charge" and "voltage" in your response.

Answers

A battery and a Genacon electric generator both produce electrical energy through the flow of charges.

The voltage of a battery is smaller than the voltage produced by a Genacon electric generator.

What is a battery?

A battery is a device that uses chemical reactions occurring within it to produce electrical energy or electricity. The voltage of batteries are

A battery is an example of an electrochemical cell. An example of a battery is a Lithium-ion battery.

An electric generator is a device that produces electrical energy or electricity from mechanical energy and electromagnets.

An example of a generator is a Genacon electric generator.

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An electric current can be generated in a wire in a circuit when at least part of the wire ____________.is coated in plastic.is made of aluminum.moves through and cuts magnetic field lines.is not moving.

Answers

Answer:

Explanation:

When a coil of wire is moved around a magnet, it induces electrons into the wire and creates electric current. Thus, the correct option is

moves through and cuts magnetic field lines

Radio waves travel at the speed of light, 300,000 km/s (3x10^8 m/s). Determine the wavelength of a radio wave that is received at 200 megahertz.

Answers

A wave's frequency and wavelength are connected to the wave's speed by the... The following formula can be used to determine the radio wave's wavelength.

How do you determine a radio wave's speed?

Wavelength x Wave Frequency equals speed. In this equation, the units of wavelength and frequency are meters for wavelength and hertz (Hz), or the number of waves per second, for frequency.

How is the wave equation applied?

Write out the wave function in the form to determine a sinusoidal wave's amplitude, wavelength, period, and frequency.

How is the energy of sound determined?

Your sound will be more strong the more your sound wave oscillates.

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two coils are wound around the same cylindrical form, like the coils in example 30.1. when the current in the first coil is decreasing at a rate of -0.242 a>s, the induced emf in the second coil has magnitude 1.65 * 10-3 v. (a) what is the mutual inductance of the pair of coils? (b) if the second coil has 25 turns, what is the flux through each turn when the current in the first coil equals 1.20 a? (c) if the current in the second coil increases at a rate of 0.360 a>s, what is the magnitude of the induced emf in the first coil?

Answers

(a) Mutual inductance = 6.818 × 10⁻³ Hz

(b) Total flux = 3.27 × 10⁻⁴ Wb

(c) Induced EMF = 2.45 × 10⁻³ V

What is induced EMF?

When the bar magnet is pushed out, an electromotive force is induced in the coil. An EMF of opposite sign is produced by moving in the opposite direction, and the EMF is also flipped by reversing the poles. You can get the same result by moving the coil instead of the magnet - relative motion is important.

For mutual inductance:

M = ∈/(Δi/Δ)

Where, M = mutual inductance

∈ = 1.65 × 10⁻³ V

Δi/Δt = -0.242 A/s

M = 1.65 × 10⁻³/ -0.242

M = 6.818 × 10⁻³ Hz or  6.818 mHz

For the calculation of the flux through each turn:

∅ = MI/N

Where, ∅ = Total flux

M = Mutual inductance

I = Current through one coil

N = Number of turns

∅ = (6.818 × 10⁻³ ×  1.20)/25

∅ = 3.27 × 10⁻⁴ Wb

For induced EMF:

∈ = M × (Δi/Δt)

∈ = induced EMF

M =  6.818 × 10⁻³ Hz

Δi/Δt = 0.360 A/s

∈ = 6.818 × 10⁻³ × 0.360

∈ = 2.45 × 10⁻³ V

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compare the optical density air and glass

Answers

Answer:

Glass is an optically denser medium than air and water.

Explanation:

hope it helps have a nice night!

Answer:

The speed of light depends on the optical density of the medium. Therefore, light travels with different speeds in different media having different optical densities. For example, the speed of light in air is 3 × 108 m/s, whereas that in glass is 2 × 108 m/s and in water, it is 2.25 × 108 m/s

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