Question 3 A woman sitting in a stationary car notices a man cycling past her at 40 km/hr. Five seconds after he passes her car, she starts following after him. What is the shortest possible distance in which she will catch up to the cyclist if he maintains hrs speep and she obeys the speed limit of 70 km/hr? The car has a maximum acceleration

Answers

Answer 1

The shortest possible distance in which she catches up with the man is 129.7 m.

The given parameters:

speed of the man, v₁ = 40 km/hr

speed of the woman, v₂ = 70 km/hr

time when the woman started moving, t₁ = 5 seconds

To find:

the shortest distance when she catches up with the man

Convert the given speed in km/h to m/s

3.6 km/h = 1 m/s40 km/h = 40/3.6 = 11.11 m/s70 km/h = 70/3.6 = 19.44 m/s

Calculate the distance moved by the man before she started following him.

Distance moved by the man = speed x time

                                                = 11.11 m/s  x  5 s

                                                = 55.55 m

Let the time the woman catches up with the man = t

Apply the following simple principle to calculate the time.

The man is moving forward and the woman is moving forward to close the gap between them, thus both speeds are working against each other.

[tex](v_2-v_1)t = 55.55 \ m[/tex]

the difference in the speed is because they are working against each other.

[tex](19.44 - 11.11)t = 55.55\\\\8.33t = 55.55\\\\t = \frac{55.55}{8.33} \\\\t = 6.67 \ s[/tex]

The time when the woman catches up with the man = 6.67 s

The shortest distance at which the woman catches up with the man is calculated as;

Shortest distance = woman's speed x time when she catches up

                               = 19.44 m/s    x  6.67 s

                               = 129.7 m

Thus, the shortest possible distance in which she catches up with the man is 129.7 m.

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Related Questions

The bulb in the circuit shown in figure does not glow. Why? Redraw the circuit diagram by making necessary change in it so that the bulb glows.

Answers

Answer:The bulb did not glow as the switch is not turned on which obstructs electric current to flow through it. Also, the battery in the figure has both terminals as positive. It should be one negative terminal and one positive terminal.Redrawn diagram is also given

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An electric field is associated with every:____.
a. position-dependent magnetic field.
b. time-dependent magnetic field.
c. conductor moving in a magnetic field.
d. object moving in a magnetic field.
e. magnetic field.

Answers

Answer:

b. time-dependent magnetic field.

An electric field is associated with every time-dependent magnetic field.

What is electric field?

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. Additionally, it refers to a system of charged particles' physical field. The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.

An electric field is produced by a time-varying magnetic field. The first law of Faraday states that an electromotive force is always produced when a conductor is exposed to a changing magnetic field. Induced current is the term for the current that results when the conductor circuit is closed.

An electric field is associated with every time-dependent magnetic field.

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Denial cycled at 6 mph for 0.8 h. Then he jogged at 2 mph for
1.2 hours. What was Denial's average speed for the total
distance?
mph

Answers

Deniel's average speed for the totaldistance is 3.6 mph

Average speed is difined as the total distance travelled divided by the total time required to cover the distance. Mathematically, it is expressed as:

[tex]Ave. Speed = \frac{Total distance }{Total time}[/tex]

To obtain the average speed of Daniel, we shall determine the distance travelled in each case. This is illustrated below:

Case 1:

Speed 1 (S₁) = 6 mph

Time 1 (t₁) = 0.8 h.

Distance 1 (D₁) =?

[tex]Speed = \frac{Distance}{Time} \\\\S_{1} = \frac{D_{1}}{t_{1}} \\\\6 = \frac{D_{1}}{0.8}[/tex]

Cross multiply

D₁ = 6 × 0.8

D₁ = 4.8 mile

Case 2:

Speed 2 (S₂) = 2 mph

Time 2 (t₂) = 1.2 h.

Distance 2 (D₂) =?

[tex]S_{2} = \frac{D_{2}}{t_{2}}\\\\2 = \frac{D_{2}}{1.2}[/tex]

Cross multiply

D₂ = 2 × 1.2

D₂ = 2.4 mile

Next, we shall determine the total time. This can be obtained as follow:

Time 1 (t₁) = 0.8 h.

Time 2 (t₂) = 1.2 h.

Total time (T) =?

T = t₁ + t₂

T = 0.8 + 1.2

T = 2 h

Next, we shall determine the total distance. This can be obtained as follow:

Distance 1 (D₁) = 4.8 mile

Distance 2 (D₂) = 2.4 mile

Total distance (D) =?

D = D₁ + D₂

D = 4.8 + 2.4

D = 7.2 mile

Finally, we shall determine the average speed of Daniel. This can be obtained as follow:

Total time = 2 h

Total distance  = 7.2 mile

Average speed =?

[tex]Ave. speed = \frac{Total distance }{Total time} \\\\Ave. speed = \frac{7.2 }{2}[/tex]

Average speed = 3.6 mph

Therefore, the average speed of Daniel is 3.6 mph

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1.Name any two part of a flower?
2.write SI unit and fundamental unit of force, power and volume?​

Answers

Explanation:

s.i unit of force is kgm/s²

dimensions of force is ML/T²

s.i unit of power kgm²/s³

dimension of power is ML²/T³

s.i unit of volume is m³

the dimension of volume is L³

Explain why refraction of light waves occurs

Answers

Answer:

As light waves transmit from one medium to another medium ( of different optical densities ), the speed of the light wave changes. When speed changes the direction of the wave changes hence refracted.

[tex].[/tex]

Backwards Alphabet Code Use the Backwards Alphabet Code to unlock the hidden statement. Refer to letters along the top row of the code to unscramble the letters in parentheses below write one letter per space. Do not capitalize the letters.

Answers

Answer:

1.  Perform

2. Alertly

3. Energy

4. Meeting

5. Endure

6. Stress

7. Unfit

8. Major

9.  Healthy

What topic name does this equation go into in physics? [tex]d = v_{i} t + \frac{1}{2}at^{2}[/tex]

Answers

Answer: 9+3.5 m/52

Explanation:d=vit + 1/2 at2

d=0 + 1/2 -2 at2

d2/+2=A

a=(28m)/40.52

John took 0.75 hours to bicycle to his grandmother's house, a distance of 4 km. What is his velocity?

What are you solving for?
What’s the equation?
Show work!
Help pleaseee!

Answers

Answer:

5.3Km/hr

Explanation:

Velocity=Displacement/Time

D=4km;T=0.75hr

V=4/0.75=5.33..

John traveled at a speed of 5.3 km/h to get to his grandmother's house.

How is the rate of position change in relation to time measured?

While velocity is the rate of change of an object's position with respect to time in a specific direction, speed is the rate of change of an object's position with respect to time overall. The speed of an item moving in a certain direction is referred to as its velocity. When there is a change in speed, direction, or both, the velocity also changes.

Given:

Time taken to travel, t = 0.75 h

Total distance travelled = 4 km

Let's imagine that John traveled to his grandmother's house in a single direction at a constant pace.

Velocity = Distance travelled in a given direction/Time

So, Velocity = 4 km/0.75 h = 5.3 ≈ 5km/h

John's speed in getting to his grandmother's residence was thus 5 km/h.

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200 Kg Car Travelling at 10m/s hits a tree and is brought to rest in 0.10s.What is the magnitude of average force acting on the car to bring it to rest?​

Answers

Please find attached photograph for your answer. Please do comment whether it is useful or not.

What four things
are required for photosynthesis?

Answers

Explanation:

carbon dioxide, chlorophyll, water and light

time taken by a train of length 150 m and travelling with uniform velocity of 60km/hr to cross completely a bridge of length 1.5km will be

Answers

Answer:

Time=0.0275h ,you can change it into sec by multiplying it by 3600

Explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

9.1 x 105 – 7.2 x 105
=

Answers

Answer:

1.9 x 10⁵

Explanation:

I ASSUME your question is supposed to read

9.1 x 10⁵ – 7.2 x 10⁵ =

9.1 - 7.2 = 1.9 and the powers are the same so just tag them along

its the same as

910000 - 720000 = 190000

1.9 x 105 could be another possibility if the question is actually posed correctly.

When astronauts get on a rocket and go outside Earth they float because gravity is affected by this

Answers

Answer:

Distance

Explanation:

Gravity is indirectly related to distance. This means if distance increases, gravitational pull decreases.

Any measure that shows the central tendency or variation in a sample is called​

Answers

I think the answer is averages.

Answer:

averages.

Explanation:

The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.

what are the occupational respiratory disorders?​

Answers

Answer:

the occupational respiratory disorders are the one that occur

due to long term inhalation of chemical proteins and dust and it affects respiration badly.

Explanation:

Occupational respiratory disease is any lung condition you get at work. It occues because of repeated exposure to certain toxins. You can even get a disease long after being exposed to those toxins. Certain workplaces lend themselves to disease.

What is the mass of a body? How is it measured?

Answers

The mass of a body is a measure of its inertial property or how much matter it contains.

Body mass index (BMI) is a measure of body fat based on height and weight that applies to both adult men and adult women. To determine BMI, weight in kilograms is divided by height in meters, squared

What is mass?

Mass is both a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity with respect to time) when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies.

How is it measured?

Mass is measured in kilogram.

What is used to measure it?

To measure mass, we usually use a balance. In the lab, mass may be measured with a triple beam balance or an electronic balance. But an old fashioned beam balance gives the most accurate value.

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Physics help please

Answers

Answer:

what's your question?

Explanation:

I'm standby to answering your question.

What are the phenomena that physics is applied in?

Answers

Answer:

Physics is applied every where? For example if you talking with you friends, that mean the sound that you produce oscillate through your friends' ear so he/ she can respond to you.

Explanation:

Physics is the fundamental unit about understanding the world around us.

There are several phenomena in our day-to-day life from the formation of the rainbow to the free falling of objects under the influence of gravity physics is applied almost everywhere.

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

Physics is a useful tool for seeing the real world, which is far larger than we can imagine. In every conceivable way, it describes the environment we live in. Almost all human activities, including walking, eating, and listening to music, require physics. Everywhere we look, there is physics.

In daily life, we encounter a number of events, such as the rainbow's emergence and items falling freely as a result of gravity. Nearly everywhere uses physics.

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What is the density of a substance that has a volume of 14 milliliters and a mass of 13.2 grams

Answers

Answer:

Below

Explanation:

You can use this formula to find the density of something

     density = mass / volume

Plugging our values in.....

     density = 13.2 / 14

     density = 0.9428571429 g/mL

Rounding to sig figs we get....

     density = 0.94 g/mL

Hope this helps! Best of luck <3

Answer:

[tex]\huge\boxed{\sf Density = 0.94\ g/mL}[/tex]

Explanation:

Given:

Volume = 14 mL

Mass = 13.2 g

Required:

Density = ?

Formula:

Density = Mass / Volume

Solution:

Density = 13.2 / 14

Density = 0.94 g/mL

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

A racecar races on a circular race track. Calculate the average racing speed given that
distance around the track is 2500 m and the racecar does it in 40 seconds.

Answers

Answer:

Below

Explanation:

You can use this formula to find the average speed or velocity of an object

     speed = displacement / elapsed time

Plugging in our values....

     speed = 2500 m / 40 seconds

               = 62.5 m/s

*if your teacher required you to round to significant figures, you would round this number to 60, as 40 seconds only has 1 significant figure (the number with the least amount of sig figs determines the number of sig figs in the final answer)*

Hope this helps! Best of luck <3

7 (a) Use the kinetic particle theory of matter to explain why energy is needed to melt a solid, at its melting point, to form a liquid. - [2] (b) A student puts a drop of coloured ink into water. The ink slowly spreads throughout the water. Use the kinetic particle theory of matter to explain this observation. ​

Answers

Answer:

7 (a).

» At melting point, temperature is constant and there is increase in vibràtory energy of solid molecules increases. In that case, the mobílity or lovomotive degree of the solid molecules because the intermolecular forces between them have became weaker. Hence molecules become further apart from each other hence a liquid formed.

(b).

The molecules of the ink get bonded to the water molecules. Since water molecules have a high degree of mobílity or locomotion in different directions, the ink molecules also tend to move in different directions hence water turns colored.

Explanation:

[tex].[/tex]

The temperature remains constant and solid molecular vibrantion energy rises near the melting point. In that circumstance, the mobility or locomotive degree of the solid molecules has decreased as a result of the weakening of the intermolecular interactions. As a result of the molecules growing further apart, a liquid was created.

What is thermal energy?

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

The mobility or locomotive degree of the solid molecules has decreased as a result of the weakening of the intermolecular interactions. As a result of the molecules growing further apart, a liquid was created.

The ink molecules form bonds with the water droplets. Liquid changes color because of the ink molecules' propensity to migrate in distinct ways due to the great degree of mobility or motility that water droplets have.

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A body weighs 63N on the surface of the earth . What is the gravitational force on it due to the earth at height of 3200km from the earth surface ?Radius of the earth is6400

Answers

Answer:

Weight of the body,W=63 N

Acceleration due to gravity at height h from the Earths surface is given by the relation:

g  ′ =  (1+  R  e ​   h ​  )  2   g ​  

Substituting h=R  e ​  /2, g  ′  =4g/9  

Weight of body of mass m at height h is given as: W  ′  =mg  ′  

      =4/9 mg

      =4/9×63=28 N

If I have 8.2 milliwatts of power and I need to convert into kilowatts my
answer should be?

Answers

Answer:

8.2 milliwatts = 8.2 x 10⁻³ watts = 8.2 x 10⁻⁶ kilowatts

Explanation:

There are 1000 milliwatts per watt and 1000 watts per kilowatt, therefore we need to move the decimal point 6 places to the left to convert mW to kW

What do you know about physical education write one paragraph

For P.E

Answers

Answer:

PE is an abbreviation for 'physical education'. Physical education is a course taught in school that focuses on developing physical fitness and the ability to perform and enjoy day-to-day physical activities with ease. Kids also develop skills necessary to participate in a wide range of activities, such as soccer, basketball, or swimming. Physical Education (PE) develops students' competence and confidence to take part in a range of physical activities that become a central part of their lives, both in and out of school. A high-quality PE curriculum enables all students to enjoy and succeed in many kinds of physical activity.  

Physical education is defined as formal instruction in exercise and proper eating. An example of physical education is gym class taught in middle school. ... Instruction in physical exercise and in the care and hygiene of the human bod

Energy sources used today are mostly in what form of energy?
Select one:
O a.
electrical
O b. chemical
O c. nuclear
O d. radiant

Answers

Answer:

I think it is A. electrical.

Explanation:

I believe it is A, because most people today have phones and IOT use a phone, it has to be charged, and IOT charge a phone you have to use an outlet which uses electrical energy.

We have that  the Energy sources used today are mostly in electrical form as the are required in the most accepts of living.

Option A

From the Question we are Given

a. electrical

b. chemical

c. nuclear

d. radiant

Generally all energy sources listed below are all good sources of energy and a very reliable

But the Energy sources used today are mostly in electrical form as the are required in the most accepts of living.

Therefore

The correct option is Option A

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At time t=0 a car has a velociry of 16m/s. it slows down with an acceleration given by -0.5t, in m/s² for t in seconds. it stops at t =? A.64s. B.32s. C.16s. D.8s. E.4s.​

Answers

Answer:

The answer is D.8s

Explanation:

We know,

[tex]a=\frac{dv}{dt} \\=>adt=dv\\\\=>-0.5tdt=vdt ;[a=-0.5t][/tex].......(i)

For, t = 0, v = 16 ms⁻¹

      t = x, v = 0 ms⁻¹;(the car stops)

Now, Definite integral for equation (i),

[tex]\int\limits^x_0 {-0.5t} \, dt=\int\limits^0_16{dx}[/tex] ;[the lower limit will be 16 but I don't know why this is not working]

[tex]=>-0.5(\frac{x^2}{2}-0)=-16\\[/tex]

∴[tex]x=8s[/tex]

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Extra Practice In Exercises 1-4, use the diagram. 1. Give two other names for CD.

Answers

Answer: I think it’s point cd and line cd

Explanation:

if you think that Horoscopes are Science or Pseudo-Science and give your reason

Answers

Answer:

Pseudo science

Explanation:

Astrology has not demonstrated its effectiveness in controlled studies and has no scientific validity, and is thus regarded as pseudoscience.

fill the blank spaces with suitable terms a heat energy from bottom
to the top of atake is​

Answers

I’m not sure if you’ve added the full question?

what are the newtons law and their formulas

Answers

Answer:

Newton's second law of motion states that the acceleration ( a) experienced by an object is directly proportional to the net force ( Fnet) experienced by the object and inversely proportional to the mass of the object. In equation form, it could be said that a = Fnet/m. The net force is the vector sum of all the individual force values.

Explanation:

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