What is the length of the path traveled between two points?

Answers

Answer 1

The length of the path traveled between two points is called distance.

About distance

Distance physically can refer to several different things, namely:

Distance traveled: the length of a specified path between two points; for example the distance traveled when using a vehicle on the highway.

Straight line (Euclid) distance: the length of the shortest path between two points, which can be traveled if there are no obstacles between the two points (generally expressed formally as the Euclidean distance).

Geodesic distance: the length of the shortest path between two points, which can be traveled without leaving a surface; for example the length of the great circle along the curvature of the Earth's surface.

The length of a given path of an object moving back to its starting point, such as a ball being thrown straight up, or the Earth completing one orbit.

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Related Questions

Compute the work (in joules) required to compress a spring 7 cm more when it is already compressed 6 cm, assuming that the spring constant is k = 180 N/m. (Use decimal notation. Give your answer to two decimal places.)

Answers

Answer:

Explanation:

d8e fool

Consider the equation v = (1/2)zxt?. The dimensions of the variables v, x, and t are [L/T], [L], and [T] respectively. The numerical factor 2 is dimensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions?

Answers

The dimensional formula of  physical quantity z is [T⁻²].

What is dimensional formula?

The definition of the dimensional formula is the correct statement of the physical quantity in terms of its fundamental unit.

The relation between physical quantities v,x, z and t is

v = (1/2)zxt

The dimensional formula of  physical quantity v is = [L/T] = [LT⁻¹]

The dimensional formula of  physical quantity x is = [L]

The dimensional formula of t is = [T]

Hence, the dimensional formula of z is  = [v]/[x][t]

= [LT⁻¹]/[L][T]

= [LT⁻¹L⁻¹T⁻¹]

= [T⁻²]

The dimensional formula of  physical quantity Z is [T⁻²] .

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Do sound waves travel faster through solids or gases? I WILL GIVE Brainliset.

Answers

Answer:

Sound waves travel faster through solids than through gases.

Explanation:

The speed of sound in a solid is determined by its elasticity and density. Solids are generally denser and more elastic than gases, so they can transfer the energy of a sound wave more effectively, leading to a faster speed of sound.

The speed of sound in a gas is influenced by its temperature, pressure, and composition. Gases are generally less dense and less elastic than solids, so they transfer the energy of a sound wave less effectively, leading to a slower speed of sound.

In general, the speed of sound in solids is about four to five times faster than in gases.

Answer: Solids.

Explanation: Because gas have molecules too far a part, the sound has issues traveling through it. On the other hand solids have the molecules very close together so the sound waves travel more quickly through it.

Sound waves travel over 17 times faster through steel than through air.

Basically, the more close together the molecules are, the faster the sound will spread.

Use the force diagrams below to determine whether the cart is not moving, moving at a constant speed speeding up or slowing down

Answers

a) Cart is speeding up ; b) cart is slowing down and c) cart is not moving.

What do you understand by force and friction?

Force of friction is a contact force whereas friction is the force that resists motion when surface of one object comes in contact with surface of another. Example is the force of friction between two stones rubbed with each other.

Static friction magnitude is directly proportional to normal force magnitude and the roughness between sliding surfaces. The ratio of magnitude of frictional force divided by normal force magnitude is called as coefficient of friction. Friction takes place at the point of contact between two bodies.

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A satelite is launchedin a direction parallel to the surface of the earth with a velocity of 36900km\h from an altitude of 500km. Determine the maximum atitude reached and the periodic time of the satelite

Answers

The maximum altitude reached is 500 km. The periodic time of the satellite is  1.175 hour.

What is speed?

A body's velocity is the rate at which its displacement alters with respect to time. A vector quantity with both magnitude and direction is velocity. The meter/second unit of measurement for speed.

The satellite is traveling at a speed of 36900 km/h in a path parallel to the surface of the planet.

There is no initial velocity component in the vertical direction.

Consequently, the highest altitude achieved was 500 km.

and the satellite's periodic time is equal to 2π×(6400+500)/36900 hours.

= 1.175 hour.

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b) Do all metals have the same melting point?
IV:
DV:
CV:

Answers

Answer: the melting point of iron alloys and the melting point of steel, occur at higher temperatures, around 2,200-2,500 Fahrenheit (°F) / 1,205-1,370 Celsius (°C). Melting points of copper alloys (including bronzes, pure copper, and brass) are lower than iron, at ranges around 1,675-1,981°F / 913-1,082°C.

A string is stretched between two clamps held 4.04 m apart. The string is made to oscillate at its third harmonic frequency.

Calculate the distance in m between two adjacent nodes

Answers

The fourth harmonic of B matches the frequency of A 's first harmonic, and the distance is ¼fn.

What is frequency?

The number of waves that pass through a fixed point in a given amount of time is defined as frequency. If a wave takes 1/2 second to pass, the frequency is 2 per second. If it takes one hundredth of an hour, the frequency is one hundred per hour.

The hertz unit, named after the 19th-century German physicist Heinrich Rudolf Hertz, is typically used to measure frequency. The hertz measurement, abbreviated Hz, is the number of waves per second that pass by. An "A" note on a violin string, for example, vibrates at about 440 Hz (440 vibrations per second).

The n th resonant frequency of string A is

fn,A

= vA/2IA× n

= n/2L √τ/μ

while for string B it is

fn,B

= vB/2IB × n

= n/8L √τ/μ

= ¼fn,A

​Thus, we see f1,A = f4,B .

That is, the fourth harmonic of B matches the frequency of A 's first harmonic.

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A cue ball rolls toward a billiard ball with a velocity of 1.0 m/s east. Both balls have identical masses. what happens to the total momentum after the two balls collide?

Answers

The total momentum after the two balls collide remains conserved.

What is collision in physics?A collision happens when two bodies come in direct contact with each other.In this case, the two bodies exert forces on each other in a short period of time.The energy and momentum of bodies interacting undergo a change as a result of the collision.An elastic collision is an encounter (collision) between two bodies in which the total kinetic energy of the two bodies remains the same.In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.

Given is that a cue ball rolls toward a billiard ball with a velocity of 1 m/s east. Both balls have identical masses.

For the elastic collision, the momentum remains conserved. So -

[tex]$m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}[/tex]

We can write -

{m} + {m} = m{v₁ + v₂}

{v₁ + v₂} = 2m/m

{v₁ + v₂} = 2

 

Therefore, the total momentum after the two balls collide remains conserved.

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A pan of water is boiling but does not change in temperature. The energy that is needed to turn the water into a gas is called the latent ____________ ____________ ________________ What three words coplete the sentence?

Answers

The energy that is needed to turn the water into a gas is called the latent heat of vaporization.

What is latent heat of vaporization?

Latent heat of vaporization is the heat capacity or energy that is needed to turn the water in liquid state into a gas without any rise or change in temperature of the water.

Mathematically, the formula for the energy that is needed to turn the water into a gas is given as;

Q = mLv

where;

Q is the energy neededm is the mass of the waterLv is the Latent heat of vaporization

Thus, the three words needed to complete the sentence are  heat of vaporization.

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The bridges often have expansion joints to account for the changed in size due to temperature changes. Suppose a bridge is supported by steel girders; the central span has a girder that is 28m long.
If the girder warmed from 0°C to 32°C, by how much does its length increase?

Answers

The change in length is directly proportional to the change in temperature. Here, if the temperature changes from  0°C to 32°C, the length of girder changes from 28 m to 31.2 m. Thus, length increases by 3.1 m.

What is thermal expansion ?

As the temperature of a substance increases, the distance between its molecules increases as their intermolecular forces gets weaken at higher temperatures.

The solid substances, especially metallic parts undergo thermal expansion and we can observe a change in their length and gap formed in between. This is what called as thermal expansion.

The change in length l is directly proportional to the change in temperature.

given length of the girder at 0°C or 273 K  = 28 m

then length at  32°C  or 305 K = (305 × 28 )/273 K = 31.2 m

Therefore, the length of the girder will increases by 3.1 meters.

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What is the angle between the vectors A and - A when they are drawn from a common origin?

Answers

Answer:

The angle will be 180°.

hope that helps...

what specific heat capacity of a silver metal if 55.0 g of absorbs 197.9 joules of heat and the temp rises 15 degrees Celsius?

Answers

The specific heat capacity of silver is {c} = 0.24 J/(kg °C).

What is specific heat capacity?

The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases by 1 °C. Its units are J/(kg °C).

Given is that 55g of silver absorbs 197.9 joules of heat and the temperature rises by 15 °C.

Mathematically, we can write the specific heat capacity as -

Q = mcΔT

where -

{Q} → heat energy

{m} → mass

{c} → specific heat capacity

{ΔT} → change in temperature

We can write -

Q = mcΔT

197.9 = 55 x (15 - 0) x c

197.9 = 55 x 15 x c

c = 197.9/825

{c} = 0.24 J/(kg °C)

Therefore, the specific heat capacity of silver is {c} = 0.24 J/(kg °C).

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A whale swims due EAST for a distance of 6 km, turns around and goes due WEST for 1 km, and finally turns around again and heads 3 km due EAST. What is the total distance traveled by the whale?

Answers

The total distance travelled by the whale is 3 km.

What is difference between distance and displacement?

The complete length of the path between any two points is called distance.

Displacement is the direct length between any two points when measured along the minimum path between them. It is a straight line joining initial and final points.

Given is that a whale swims due EAST for a distance of 6 km, turns around and goes due WEST for 1 km, and finally turns around again and heads 3 km due EAST.

The total distance travelled by the whale will be -

{d} = 6 km + 1 km + 3 km

{d} = 3 km

Therefore, the total distance travelled by the whale is 3 km.

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The speed of light in a vacuum is 300,000,000 m/s. How long does it take light to travel 1.5 x 108 km (which happens to be the distance from the sun to Earth)?

Answers

The speed of light is 3 × 10⁸ m/s. Light will take a time of 500 seconds to travel a distance of 1.5 × 10¹¹ m.

What is speed of light ?

Speed is a physical quantity used to measure the distance travelled by an object  per unit time. It is usually expressed in the unit m/s. Light is the fastest thing in the universe to be known.

The speed of light is the product of its frequency and wavelength. In general the ratio of the distance covered per time taken.

Speed of light  = 3 × 10⁸ m/s

distance from earth to sun =  1.5 × 10⁸km = 1.5 × 10¹¹ m

Now, the time taken by light to travel this distance is :

time = distance/speed.

t =  1.5 × 10¹¹ m / 3 × 10⁸ m/s = 500 seconds.

Therefore, the time taken by light from sun to reach earth surface is approximately 500 s.

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The Sun has an angular diameter of about 0.5∘ and an average distance of about 150 million km. What is the Sun's approximate physical diameter in km?

Answers

To find the physical diameter of the Sun, we can use the formula for angular size:

d = D * tan(Θ/2),

where d is the physical diameter, D is the distance from the observer to the object, and Θ is the angular size.

Given that the angular diameter of the Sun is about 0.5 degrees and its average distance is about 150 million km, we have:

d = 150 million km * tan(0.5∘/2) = 150 million km * tan(0.25∘)

Since the tangent function is a continuous function, we can use an approximation to find its value:

tan(0.25∘) ≈ 0.0043

Therefore:

d ≈ 150 million km * 0.0043 = 645,000 km

So, the Sun's approximate physical diameter is 645,000 km

A fishing boat uses an ultrasound of frequency 4.0×10²Hz to detect a fish blow it. two echo's of the ultrasound are received after 0.09s coming from the shoal of the fish and the other after 0.12s coming from the sea bed .if the sea bed is 64m below the ultrasound transmitter and the receiver, calculate; a. the speed of the ultrasound in water b. the wavelength of ultrasound in water. c. the depth of the fish below the boat.​

Answers

a. the speed of the ultrasound in water is 1480 m/s

b. the wavelength of the ultrasound in water is 37 m

c. the depth of the fish below the boat is 89.76 m

How to calculate?

a.

v = fλ

v = fλ = (4.0 x 10^2 Hz)(λ)

the speed of the ultrasound in water is given as :

v = v_water = 1480 m/s

substitute v_water into the equation above and solve for λ:

λ = v_water / f = (1480 m/s) / (4.0 x 10^2 Hz) = 37 m

Therefore,  the speed of the ultrasound in water is 1480 m/s and the wavelength is 37 m.

c. The depth of the fish below the boat ia found using,

d = v_water * t / 2

The first echo came back after 0.09 s:

d = (1480 m/s) * (0.09 s) / 2 = 64.32 m

This is the depth of the sea bed, which is already known to be 64 m. So the fish must be deeper than the sea bed, and the second echo must have come from the fish. The second echo came back after 0.12 s:

d = (1480 m/s) * (0.12 s) / 2 = 89.76 m

So the depth of the fish below the boat is 89.76 m

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If 0.035 pC of charge is transferred via the movement of A1³+ ions, how many of these must have been transferred in total?​

Answers

If the movement of A13+ ions transfers 0.035 pC of charge, 72917 of these must have been transferred in total.

Determine the total number of ions that must be transferred.

Three extra protons are present in each ion. As a result, the additional charge on each = C

Charge total = 0.035 pC

Q (total charge) = C

Let n be the number of ions.

In response to the question:

n×3×1.6×10∧-19=0.035×10∧-12

n=0.035×10∧-12/3×1.6×10∧-19

n=7.29167×10∧4

n = 72917

As a result, the total number of ions required for transfer is 72917.

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Steam moves into the cylinder of a steam engine at a constant pressure and does 0.84 J of work on a piston. The diameter of the piston is 0.016 m, and the piston travels a distance of 0.021 m in one stroke. What is the pressure of the steam?

Answers

Expansion stroke refers to the forward motion of a steam engine piston.The steam has a pressure of 103.45 kPa.

What is the pressure of the steam?

Expansion stroke refers to the forward motion of a steam engine piston.The piston is propelled forward during the expansion stroke by the expansion of steam in the cylinder.Additionally moving is the piston's connecting crank shaft.

When the piston is expanding, the crankshaft's wheel rotates only halfway.

W = p * V is the formula, where W stands for work, p stands for pressure, and V is the change in piston volume.

We are aware of:

W = 0.6 J.

The piston measures 1.8 cm in diameter.

This indicates that r = 0.9 cm.

Since it moves 2.3 cm, a cylinder's height is given by h = 2.3 cm.

V = r2 h = 0.92 3.14 2.3 5.85 cm3 = 0.00000585 m3

The pressure is p = W/V = 0.6 J/0.00000585 m3 = 103,448.27 Pa, or p = 103.45 kPa.

The steam has a pressure of 103.45 kPa.

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to what temperature must 0.588 moles of ammonia gas have to be heated in a 15.0 L container in order for it to exert a pressure of 3.50 kPa

Answers

According to the ideal gas law, 0.588 moles of NH3 gas in a 15.0 L container must be heated to a temperature of 1088.85 K or 815.85°C in order for it to impose a pressure of 3.50 atm.

What is the temperature ?Real gases are simplified into ideal gases to make them easier to understand.It is believed to be made up of point particles that move randomly and independently.Additionally, it is believed that perfect gas molecules by themselves have no volume.Three state variables—absolute pressure (P), volume (V), and absolute temperature—define an ideal gas (T).If the quantity of material, number of moles n, remains constant and R is the molar constant of gases, then the relationship between them forms the ideal gas law, an equation that links the three variables:P×V = n×R×T Finally, to a temperature of 1088.85 K or 815.85°C must 0.588 moles of NH3 gas have to be heated in a 15.0 L container in order for it to exert a pressure of 3.50 atm.

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In your opinion, how do you think to go faster than the speed of light?

Answers

Answer:

According to special relativity, nothing can travel faster than the speed of light – an object with mass would require more energy to accelerate closer to the speed of light without actually reaching it.

Explanation:

Hope this helps!

Hypothetically somthing can match if not exceed the speed of light based on our perspective. I'll use Hubble's law for example (the observation in physical cosmology that galaxies are moving away from Earth at speeds proportional to their distance). To us there are some galaxies so far away from us that they appear or should logically be moving away from us at the speed of light or greater. However the galaxies are not actually moving but rather the space in-between galaxies are expanding indefinitely. But because of our perspective it appers that the galaxies are going through space at unthinkable speeds.

The fastest that a human has run is about 12m/s
(a) If a pole vaulter could run this fast and convert all of her kinetic energy into gravitational potential energy, how high would she go?
(b) Compare this height with the world record in the pole vault.

Answers

Answer:

Explanation:

The mass of the human = x

a) EK=1/2x144= 72x

   EK=EP

72x=mgh

72x=x * 10 * h

h=7.2m

b) the world record in the pole vault = 6.2m

6.2<7.2

What is the skeletal system?
O It is a system comprised of glands that release hormones into the bloodstream.
It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for
blood cell formation.
O It is a system that coordinates and controls functions throughout the body and responds to stimuli.
It
is a system comprised of a series of organs that takes in oxygen from the atmosphere and releases carbon
dioxide.
Previous

Answers

Answer:It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for

blood cell formation.

Explanation: reason it is a system of which supports the body weight and holds your organs in without such a system theyd fly around damaging them due to such the answer is exactly as said it supports the body weight the movement of your legs and holds you up and it creates blood cells from your bome maro

Answer: The answer is: It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for

blood cell formation.

Explanation: I have my ways ;>

What affects the
flow of electricity?

Answers

Answer:

Heating effects impact the flow of the electricity.

Explanation:

Somebody help me please!!!

Answers

Answer: Environmental factors are the abiotic factors that interact with and influence the biotic factors. The amount of carbon dioxide, and water clarity affects the sunlight reaching the aquatic organisms.

why radiometric dating can be used to date some rocks and not others.
What other methods are used?

Answers

Answer:

Radiometric dating is a method of dating rocks and minerals based on the decay of their radioactive isotopes. This method can be used to date rocks of any age, including those older than the Earth itself. However, some rocks are too old for radiometric dating, as the isotopes of certain elements have already decayed completely. Other methods of dating rocks and minerals include relative dating, which relies on stratigraphic relationships, and absolute dating, which relies on physical parameters such as the presence of uranium and thorium.

sketch the electric field for a) a negative point charge near a positively charged plate

Answers

The electric field for a negative point charge near a positively charged plate attached below

While being directed from the left plate to the right plate, the electric field in the center of the two plates will equal the sum of the two electric fields produced by the plates.

Electrified fields Every point in space has the vector quantity E. The force that would be applied to a unit positive test charge if it were positioned at a specific location is represented by the electric field at that location.

Any charge can be affected by the electric force known as the electric field. The start fraction is equal to E with a vector on top, while the end fraction is equal to F with a vector on top divided by q.

N/C, Newtons/coulomb The dimensions of an electric field are N/Cstart text, N, slash, C, and end text. An electric field, F, with a vector on top, equaling q, E, and a vector on top can be used to represent the electric force.

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A ball is thrown vertically upwards from the ground with an initial velocity u. The time taken by the ball to reach a height h is t1. The ball then takes a further time of t2 to return to the ground. Find in terms of t1,t2 and g.
a. the initial velocity u,
b. the height h,
c. the maximum height H reached by the ball.

Answers

The initial velocity u be the product of time t and acceleration due to gravity g thus u = gt. Then height that the ball can move with this velocity is 1/2 gt².

What is velocity ?

Velocity of a moving object is the measure of its distance travelled per unit time. Velocity is a vector quantity having both magnitude and direction. Acceleration is the rate of change in velocity.

Here, the initial velocity is given u. It is the product of acceleration g and time t. thus, u = gt.

The height travelled within the time t and acceleration g, is written as:

h = 1/2 gt²

Now, when the ball reaches its maximum height, its potential energy becomes equal to the kinetic energy.

that is, 1/2 mv² = mgh

therefore, h = v²/2g.

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A car P was decelerating at 2.0 m/s^2 when it passes a stationary car Q, and speed was 20 m/s. At the same car Q from rest and accelerated at 2.5 m/s² along the same straight road.
(i) Sketch the speed-time graph for cars P and Q. Mark appropriate values on both axes.
(ii) Find the time when car Q overtook car P.
(iii) How far was car Q from car P when car P came to a stop?

(b) Two vehicles P and Q start from the same point O and travel along lthe same road. The speed-time graphs of the two vehicles are as shown in the graph.
(i) What is the distance from O when P overtakes Q? (ii) Find the distance between the vehicles after 5.0 s. Which vehicle is ahead?​

Answers

A. (i) The speed-time graph for cars P and Q is in the attachment.

(ii) The time when car Q overtook car P is 8.9 s.

(iii) Car Q is 25 ahead of car P when car P came to a stop.

B. (i) The distance from O when P overtakes Q is 22.4 m.

(ii) The distance between the vehicles after 5.0 s is 1 m. Car P is ahead of car Q.

The car is in uniform motion if the speed is constant. d = v × t

The car doing a non-uniform motion if the car increases or decreases its speed. Three formulas in non-uniform motion

v = v₀ + atv² = v₀² + 2add = v₀ t + 0.5 at²

where

v₀ = initial speed (m/s) v = final speed (m/s) a = acceleration or deceleration (m/s²)
Acceleration = + a
Deceleration = - at = time (s) d = displacement (m)

a. In this problem

Car P

v₀ = 20 m/sa = - 2 m/s²The car stop when v = 0
v = v₀ + at
0 = 20 - 2t
2t = 20
t = 10 s

Car Q

v₀ = 0a = 2.5 m/s²When car P stop at 10 s
v = v₀ + at
v = 0 + (2.5 × 10)
v = 25 m/s

Making speed-time graph

Car P
From 20 m/s at t = 0 s
To 0 m/s at t = 10 sCar Q
From 0 m/s at t = 0 s
To 25 m/s at t = 10 s

When car Q overtook car P both cars traveled the same distance

d car P = d car Q

(v₀ t + 0.5 at²) car P = (v₀ t + 0.5 at²) car Q

(20 × t)  + (0.5 × (- 2) × t²) = 0 + (0.5 × 2.5 × t²)

20t - t² = 1.25t²

0 = 2.25t² - 20t

0 = t (2.25t - 20)

t = 0  or  2,25t - 20 = 0

              2.25t = 20

              t = 20 ÷ 2.25
              t = 8.9 s

When car P stops at t = 10 s

Car P
d = v₀ t + 0.5 at²
d = (20 × 10) + (0.5 × (- 2) × 10²)
d = 200 - 100
d = 100 mCar Q
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 2.5 × 10²)
d = 1.25 × 100
d = 125 mDistance difference
125 - 100 = 25 m

B. In this problem

Car P moves in non-uniform motion

v₀ = 0At t = 5 s the speed v = 10 m/sThe acceleration
v = v₀ + at
10 = 0 + 5a
5a = 10
a = 2 m/s²

Car Q

From t = 0 - 2 s move in non-uniform motion
v₀ = 0
At t = 2 s the speed v = 6 m/sThe acceleration
v = v₀ + at
6 = 0 + 2a
2a = 6
a = 3 m/s²

When car Q overtook car P both cars traveled the same distance

Car Q moves in two types of motionFor Car Q
After t = 2 s move in uniform-motion
The speed at 2 s
v = v₀ + at
v = 0 + (3 × 2)
v = 6 m/s
The distance took at 2 s
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 3 × 2²)
d = 6 m
After t = 2 it move in uniform motion
d = v × t
d = 6tFor Car P
The distance took at 2 s
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 2 × 2²)
d = 4 m
The speed at 2 s
v = v₀ + at
v = 0 + (2 × 2)
v = 4 m/s
The distance after 2 s
d = v₀ t + 0.5 at²
d = (4 × t) + (0.5 × 2 × t²)
d = 4t + t²After t = 2 s the distance difference = 6 m - 4 m = 2mAfter t = 2 s
d car Q - d car P = 2 m
6t - (4t + t²) = 2
6t - 4t - t² = 2
0 = t² - 2t - 2

Factorize t² - 2t - 2 = 0 using quadratic formula

a = 1b = - 2c = -2t₁₂ = (- b ± (√(b² - 4ac))) ÷ 2a
t₁₂ = (2 ± (√(2² - (4 × 1 × - 2)))) ÷ 2
t₁₂ = (2 ± (√(4 + 8)) ÷ 2
t₁₂ = (2 ± (√12) ÷ 2
t₁₂ = (2 ± 3.46) ÷ 2t₁ = (2 - 3.46) ÷ 2 = - 1.46 ÷ 2 = - 0.73 impossible t₂ = (2 + 3.46) ÷ 2 = 5.46 ÷ 2 = 2.73 st total = 2 + 2.73 = 4.73 sCar Q overtook car P at t = 4.73 sDistance from car P
d = 4 + 4t + t²
d = 4 + (4 × 2.73) + 2.73²
d = 4 + 10.92 + 7.45
d = 22.4 m

After 5 s

Car P
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 2 × 5²)
d = 25 mCar Q
d = 6 + 6t
d = 6 + (6 × (5 - 2))
d = 6 + (6 × 3)
d = 6 + 18
d = 24 mCar P ahead car QThe distance between two cars
25 - 24 = 1 m

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A man throws a penny down 4 m/s off the top
of the empire state building. If it accelerates at 9.8 m/s^2 the whole way
down for 8.42 s, what is the height it fell from?

Answers

The velocity of penny is 4 m/s with an acceleration of 9.8 m/s² within 8.42 s. Then, the height from which it fell down is 381 m.

What is acceleration ?

Acceleration  of an object is the measure of its rate of change in velocity. It is a vector quantity having direction and magnitude. It is the ratio of change in velocity to the change in time.

Given velocity of the penny u = 4 m/s

acceleration = 9.8 m/s²

time = 8.42 s.

Then the height from which the penny is fell down is calculated as follows:

h = ut + 1/2 at²

h = 4 m/s × 8.42 s + 1/2 9.8 m/s² × 8.42 ×8.42 = 381 meters.

Therefore, the height from which the penny fell from is 381 m.

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if a weather balloon in flight give up 15 j of energy as heat and the gas within it does 13 j of work on the outside air, by how much does its internal energy change?

Answers

The change in the internal energy of the gas is -28 J

What is the internal energy?

Internal energy (U) is the total energy of a thermodynamic system, including the kinetic and potential energies of its particles, as well as its internal molecular energy. It is a thermodynamic state function and depends on the temperature, pressure, and other variables that describe the state of a system.

From the statement of the first law of thermodynamics, we know that we have;

ΔU = q + w

Since the heat was given up and work was done q = -ve

w = -ve Hence we have;

ΔU = -15J - 13J

= -28 J

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