A small aircraft accelerated down a runway at 4.0 m/s²

The aircraft started from rest and reached a speed of 34 m/s just before take-off.
Calculate the distance the aircraft travelled while accelerating.
Give your answer to 2 significant figures.

Answers

Answer 1

Given data in the problem :-

Acceleration (a) = 4.0 m/s^2Initial velocity (u) = 0 m/sFinal velocity (v) = 34 m/sDistance travelled by aircraft (S) =  ?

From Newton's Laws of Motion we know that ,

v = u + at  [t = Time taken by aircraft to cover the distance]

⇒ 34 = 0 + 4t

⇒ t = 34/4 s

∴  t = 8.5 s

From Newton's Laws of Motion we also know that ,

S = u.t + 1/2a.t^2

⇒ S = 0×8.5 + 1/2 × 4 × (8.5)^2 m

∴  S = 144.50 m

Thus the distance travelled by the aircraft while accelerating is 144.50 meter .


Related Questions

What is the period of a wave that has a frequency of 300 hz?

Answers

Answer:

T = 0.003 s

(Period is written as T)

Explanation:

Period = time it takes for one wave to pass (measured in seconds)

frequency = number of cycles that occur in 1 second

(measured in Hz / hertz / 1 second)

Period : T

frequency : f

So, if we know that the frequency of a wave is 300 Hz, we can find the period of the wave from the relation between frequency and period

T =  [tex]\frac{1}{f}[/tex]    f = [tex]\frac{1}{T}[/tex]

to find the period (T) of this wave, we need to plug in the frequency (f) of 300

T = [tex]\frac{1}{300}[/tex]

T = 0.00333333333

So, the period of a wave that has a frequency of 300 Hz is 0.003 s

[the period/T of this wave is 0.003 s]

A cue ball of inertia m is given a speed v before it collides elastically with a full rack of 15 stationary balls in a game of pool. Each of the 16 balls has an inertia m.

Answers

The final speed of the 15 stationary balls in a game of pool is determined as the ratio of inertia of the cue ball to total mass of the 15 balls.

Final speed of the 15 balls

The  final speed of the 15 balls can be determined by applying the principle of conservation of linear momentum as shown below;

J = ΔP

where;

J is inertia ΔP is change in momentum

m1u1 + m0u0 = m1v1 + m0v0

where;

m1 is mass of the cue ballm0 is mass of the 15 ballsu is initial velocityv is final velocity

m1u1 - 0 = m1v1 + 15mv0

m1u1  - m1v1 = 15mv0 - 0

recall, m1u1  - m1v1  = ΔP = J

-m = 15m0v0

v0 = -m/15m0

where;

v0 is the final speed of the 15 balls15m0 is the total mass of the 15 ballsm is the inertia of the cue ball

Thus, the final speed of the 15 stationary balls in a game of pool is determined as the ratio of inertia of the cue ball to total mass of the 15 balls.

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When discussing Newton’s laws of motion, which terms do people most likely use when talking about Newton’s third law of motion?

“force” and “acceleration”
“inertia” and “force”
“action” and “reaction”
“mass” and “inertia”

Answers

Answer:

action and reaction

Explanation:

becase it state that"to every action there is always an equal and opposite reaction"

Water is added to a measuring cylinder containing 100 cm3 of liquid paraffin. (the density of paraffin is 0.80 g/ cm3 and that of the water is 1.0 g / cm3 .) as the water is added, the level of the paraffin rises to 150 cm3 . the paraffin and water do not mix. what finally is the total mass of liquid in the measuring cylinder?

Answers

The total of the liquid in the measuring cylinder given the data from the question is 130 g

What is density?

The density of a substance is simply defined as the mass of the subtance per unit volume of the substance. Mathematically, it can be expressed as

Density = mass / volume

How to determine the mass of paraffin Density of paraffin = 0.80 g/cm³Volume of paraffin = 100 cm³Mass of paraffin =?

Mass = Density × Volume

Mass of paraffin = 0.8 × 100

Mass of paraffin = 80 g

How to determine the mass of water Density of water = 1 g/cm³Volume of paraffin = 100 cm³Volume of paraffin + water = 150 cm³Volume of water = 150 – 100 = 50 cm³Mass of water =?

Mass = Density × Volume

Mass of water = 1 × 50

Mass of water = 50 g

How to determine the mass of the mixture Mass of water = 50 gMass of paraffin = 80 gMass of mixture =?

Mass of mixture = Mass of paraffin +  Mass of water

Mass of mixture = 80 + 50

Mass of mixture = 130 g

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Suppose you are sitting in the passenger seat of a parked car. You hear sounds coming from the stereo of another car parked on the opposite side of the street. You can easily hear the low-pitched bass sounds but cannot hear the any high-pitched sounds coming from the parked car. Explain why you think this happens.

Answers

This happen because of what is called Doppler effect and it occur you who is the receiver of the sound waves is in motion and the source of the wave is stagnant.

What is sound waves?

Sound waves is a form of transverse waves in which there is vibrations and compression of particles traveling through a medium thereby transferring energy from one medium to another.

Therefore, This happen because of what is called Doppler effect and it occur you who is the receiver of the sound waves is in motion and the source of the wave is stagnant.

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the pieces of ice float on water why​

Answers

they float on water because the ice has the same mass of water and is density is lighter

Which optical device can focus light to a point through reflection?

Answers

Answer:

A

Explanation:

did the quiz

Answer:

A

Explanation:

In case of a Crash the pilot of the plane jumped from it and opened his parachute after falling through 40m

Answers

Answer: 20m

Explanation: because half 40 is 20

Answer:

20m

Explanation: because half 40 is 20

-1 A 4m long wire of cross-sectional area 2.5 X 10 m² has a resistance of 5. The conductivity of the wire is (a) 2.5 X 10' m (b) 4.0 X 10' m (c) 2.5 X 10'' m¹ -1 -1 (d) 4.0 X 10''m'​

Answers

Answer:

3.2 [tex]10^{-2} ohm^{-1} m^{-1}[/tex]

Explanation:

Resistance=5 ohm

Length=4m

Cross sectional area=2.5 x 10

Conductivity = 1/ resistivity

                      =[tex]\frac{length}{resistance x cross sectional area}[/tex]

Conductivity=4 /5 x 2.5 x 10

Conductivity=4/125

Conductivity=3.2x[tex]10^{-2}[/tex][tex]ohm^{-1} m^{-1}[/tex]

Calculate the kinetic energy of a tennis ball that has a mass of .056 kg and is moving at a speed of 44 m/s

Answers

[tex]\text{Kinetic energy,}\\\\E_k = \dfrac 12 mv^2\\\\~~~~~=\dfrac 12 \times 0.056 \times 44^2\\\\~~~~~=54.208~J[/tex]

A spinning satellite begins to unfold two solar panels as shown. How does a satellites ANGULAR MOMENTUM change as its panels extend?
A. It drops to zero.
B. It decreases.
C. It remains constant.
D. It increases.

Answers

As the satellite panels extend, the angular velocity decreases due to drag force, and hence it will cause a decrease in the angular momentum of the satellite.

What is angular momentum?

Angular momentum is defined as the quantity of rotation of a body, which is the product of  mass, velocity and radius.

L = mvr

L = mωr²

where;

m is mass of the objectv is velocityr is radius ω is angular velocity

As the satellite panels extend, the angular velocity decreases due to drag force, and hence it will cause a decrease in the angular momentum of the satellite.

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The box (mass = 4 kg) is being pulled at a constant velocity. the box is pulled with a force of
50 n at an angle of 30 degrees.
calculate the frictional force.

Answers

Answer:

I really don't know what to say or do anything for you and your homework

Two astronauts are taking a spacewalk outside the International Space Station. The first astronaut has a mass of 85.2 kg. The second has a mass of 65.4 kg. Initially, both astronauts have zero velocity relative to each other. Then, the astronauts push against each other, giving the first astronaut a final velocity of 1.2 m/s to the left. If the momentum of the system is conserved, what is the final velocity of the second person?
A. 1.3 m/s to the left
B. 1.6 m/s to the right
C. 1.6 m/s to the left
D. 1.3 m/s to the right

Answers

The final velocity of the second person after the collision is determined as 1.6 m/s to the right.

Final velocity of the second person

The final velocity of the second person is determined by applying the principle of conservation of linear momentum.

m1u1 + m2u2 = m1v1 + m2v2

85.2(0) + 65.4(0) = 85.2(-1.2) + 65.4(v2)

0 = -102.24 + 65.4v2

65.4v2 = 102.24

v2 = 1.56 m/s to the right

Thus, the final velocity of the second person after the collision is determined as 1.6 m/s to the right.

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What are the advantages of using digital signals over analog signals?

Answers

Digital signals are advantageous over analog signals because they are easily reproducible and convey information with little interference.

What are analog and digital signal?

Analogs signals are signal which are continuous whereas digital signals are signal which are not continuous but are separated by time.

Use of digital signals are most common because they have certain advantages over analog signals.

Some advantages of digital signals over analog signals include:

Digital signals can convey information with less noise and interference.Digital circuits can be easily reproduced

Therefore, Digital signals are advantageous over analog signals because they are easily reproducible and convey information with little interference.

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Three resistors are connected in parallel. If placed in a circuit with a 12-volt power supply. Determine the equivalent resistance (rounded to the nearest hundredth), the total circuit current (rounded to the nearest hundredth), and the voltage drop across and current in each resistor (round to the nearest hundredth).

Answers

(a) The equivalent resistance of three parallel resistors is (R₁R₂R₃)/(R₁R₂ + R₁R₃ + R₂R₃).

(b) The total circuit current is 12/R.eq.

(c) The voltage drop across and current in each resistor is IR₁, IR₂ and IR₃.

Equivalent resistance of three parallel resistors

The equivalent resistance of three parallel resistors is calculated as follows;

Let the first resistor = R₁Let the second resistor = R₂Let the third resistor = R₃

[tex]\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_2}\\\\R_{eq} = \frac{R_1R_2R_3}{R_1R_2 + R_2R_3 + R_1R_3}[/tex]

Total Circuit Current

The total circuit current is calculated as follows;

V = IR

[tex]I= \frac{V}{R_{eq}} = \frac{12 \ V}{R_{eq}}[/tex]

Voltage drop in each resistor

Voltage drop in resistor 1 = IR₁

Voltage drop in resistor 2 = IR₂

Voltage drop in resistor 3 = IR₃

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The ball and the shoulder area ABOVE the armpit of an attacker make contact and the ball goes into goal. What is the decision by the referee?

Answers

The referee should award a goal to the attacker since the part of the body in contact with the ball is not hand and it cannot be considered as handball.

Goal rules for soccer

There are several rules considered during a game of soccer before the referee will award goal.

Some of the rules include;The ball must cross the goal lineThe attacker must be on sideThe attacker must play the ball with any part of the body EXCEPT the hand.

The shoulder area ABOVE the armpit is not part of the hand, thus the referee should award a goal to the attacker since the part of the body in contact with the ball is not hand and it cannot be considered as handball.

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Electricity and Magnetism: Tutorial
Drag each balloon to the correct location on the chart.
Sort the balloons based on the kinds of charges they carry.
Not Charged
Positively Charged
Negatively Charged

Answers

Not charged - balloon A

Positively charged - balloon C

Negatively charged - balloon B and D.

What is charge?

Charge is the property of an object which attracts or repels unlike and like charges respectively.

For balloon A, positive charges are equal to the negative charges. So, it is neutral or having no charge.

For balloon B and D, negative charges are greater than the positive charges. So, balloons are negatively charged.

For balloon C, positive charges are greater than the negative charges. So, balloons are positively charged.

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As a person moves down a zip wire her increase in kinetic energy is less than her decrease in gravitational potential energy explain why?

Answers

Air resistance causing thermal energy to be transferred to surroundings is why her increase in kinetic energy is less than her decrease in gravitational potential energy.

What is Thermal energy?

This is also known as heat energy and is measured to ascertain the temperature of a substance.

Air resistance brings about loss of heat to the environment and the increase in kinetic energy being less.

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a 4kg box is resting on top of a shelf that is 2m high, what is the boxs gravitational potential relative to the floor​

Answers

Answer:

80 J

Explanation:

PE = mgh

PE = (4 kg)(9.8 m/s^2)(2 m)

PE = 78.4 J and with sig figs, it would be 80 J

The answer is most definitely 80j

Parallel light rays are refracted _______and_____ to a point called as focal point after passing through convex lens.

Answers

left and right to a point called ad focal point after passing through convex lens

Why is work measured in
Newton-Meters (NM)?
A. Newton invented work.
B. The equation for work consists of one factor.
C. The equation for work consists of two factors.
D. Newton discovered work.

Answers

Answer:

C) the equation consists of two factors:

work = force * distance

W = F · S

A 84-kg man stands on a bathroom scale inside an elevator. the scale measures in units of newtons. (a) the elevator accelerates upward from rest at a rate of 1.20 m/s2 for 1.50 s. what does the scale read during this 1.50 s interval

Answers

Answer:

  94 kg

Explanation:

The mass registered by the scale is based on the assumption that the force applied is due entirely to gravity. If the force is greater, then the indicated mass will be greater.

__

how many g's

As a fraction of the acceleration of gravity, the elevator's acceleration is ...

  (1.2 m/s²)/(9.8 m/s²) ≈ 6/49

net force

The force required to produce a given acceleration is found by the formula ...

  F = ma . . . . . . . force on mass m to produce acceleration 'a'

When the man is stationary on the scale, the upward force it supplies is balanced by the downward force on the man due to gravity. The force and the mass are proportional, and the constant of proportionality (the acceleration due to gravity) is used to calibrate the scale. More force is thus translated to a higher mass reading.

Since the man's net acceleration is upward at the rate of 6/49×g, the total force applied by the scale is (1 +6/49) = 55/49 times as great as when the man is stationary. This greater force gets translated to a greater mass reading.

The force is equivalent to what would be required to support a stationary man with a mass of ...

  (84 kg)(55/49) = 94 2/7 kg

The scale would read about 94 kg during the upward acceleration period.

the angle between the incident ray and the reflected ray is 800. what is the angle of incidence​

Answers

Answer:

50 degrees

Explanation:

the angle between the incident ray and the reflected ray is 80 degrees

80 degrees   +  inc + refl = 180

inc = refl = 50 degrees

Individuals should participate in activities __________ to improve cardiovascular fitness.
A.
twice a day
B.
three to five days a week
C.
two to three days a week
D.
seven days a week
HURRY!!

Answers

Individuals should participate in activities three to five days a week to improve cardiovascular fitness.

What is cardiovascular fitness?

Cardiovascular fitness is a measure of how well ones body can take in oxygen and deliver it to muscles and organs during prolonged periods of exercise.

A person is considered cardiovascular fit if they can exercise for a long period of time without getting unduly tired.

Examples of cardiovascular exercises are;

swimmingcyclinghiking

However, individuals should participate in activities three to five days a week to improve cardiovascular fitness.

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How do stairs reduce the
amount of effort needed to
get work done?
A. They require a large force over a long
distance.
B. They require a small force over a long
distance.
C. They require a large force over a short
time.

Answers

It’s B. Require a small force over a long distance

why is it difficult to move the heavier object than the lighter object on any surface

Answers

Answer:

it's is because the heavier the object is the more it will be pulled down by gravity n the lighter the object the lesser the gravity will pull it down

Answer:

why is it difficult to move the heavier object than the lighter object on any surface

Which statement about Earth’s core helps explain Earth’s magnetic field?

Answers

Earth's core is composed of iron and nickel is the correct statement about earth's core.

How earth's magnetic field is generated?

Earth's magnetic field is generated by the solidification of the planet's liquid iron core. The cooling and crystallization of the core moves the surrounding liquid iron that creates powerful electric currents that generate a magnetic field.

So we can conclude that Earth's core is composed of iron and nickel.

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Which labels belong in the regions marked X and Y?
OX: Uses turbines to turn generators
Y: Boils water to form steam
OX: Boils water to form steam
Y: Uses turbines to turn generators
OX: Uses uranium
Y: Uses falling water to turn turbines
OX: Uses generators to produce electrical energy
Y: Burns fuel to form steam

Answers

Answer:

X: Maintains magnetic properties in the presence of another magnet

Y: Is made from magnetically hard ferromagnetic materia

Explanation:

A, egde 2022

25. IF THE ROADWAY IS WET AND THE CAR STARTS TO SKID, YOU SHOULD: A. Slow down by pumping the brakes quickly and firmly B. Slow down by shifting to a lower gear C. Slowly ease your foot off the gas pedal

Answers

If the roadway is wet and the cars starts to skid, one should slow down by shifting to lower gear. The correct option is B.

What are gears?

A gear is component used to transmit motion. They are used in cars, trucks, machines, bicycles, etc.

For a car to avoid skidding on the wet roads, one must drive the car slowly. This can be done by shifting the gear to the lower one. This will help car to keep balance when brakes are applied on wet roads.

Thus, the correct option is B.

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You can use a system of equations to graph and solve the polynomial equation 3 x cubed + x = 2 x squared + 1. Which statement is true? The system has one solution, and the equation has three zeroes. The y-coordinates of the solutions to the system and the zeroes of the equation are not equal. The x-coordinates of the solutions to the system and the zeroes of the equation are not equal. The equation has one zero, and the system has three solutions.

Answers

The equation has one zero, and the system has three solutions ( 1 real and 2 complex solutions).

Solution of the polynomial equation

The solution of the polynomial equation is determined as follows;

3x³ + x = 2x² + 1

3x³ - 2x² + x - 1 = 0

[tex]3(x - \frac{2}{9} )^3+ \frac{5}{9} (x - \frac{2}{9} )- \frac{205}{243} = 0\\\\x = 0.78 \ (one \ real \ solution)\\\\x = -0.058-0.65i\\\\x = -0.058+0.65i \ \ (2 \ complex \ solutions)[/tex]

Thus, we can conclude that the equation has one zero (real solution), and the system has three solutions ( 1 real and 2 complex solutions).

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Answer:

B

Explanation:

Answer from unit test review edge 2022

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