A person travels by car from one city to another. He drives for 30.0 min at 80.0 km/h, 12.0 min at 105 km/h, and 45.0 min at 40.0 km/h, and he spends 15.0 min eating lunch and buying gas. What is the average speed for the trip?

Answers

Answer 1

Answer:

53.53 km/h

Explanation:

Given that the person drives for 30.0 min at 80.0 km/h, 12.0 min at 105 km/h, and 45.0 min at 40.0 km/h, and he spends 15.0 min eating lunch and buying gas.

So, the total time to complete the journey is

t=30+12+45+15=102 min

[tex]=\frac{102}{60}=1.7[/tex] hours

As distance=(speed)x(time), so

the distance covered in 30 minutes with a speed of 80 km/h

[tex]d_1=80 \times \frac{30}{60}=40[/tex] km.

The distance covered in 12 minutes with a speed of 105 km/h

[tex]d_2=105 \times \frac{12}{60}=21 km[/tex].

The distance covered in 45 minutes with a speed of 40 km/h

[tex]d_3=40 \times \frac{45}{60}=30 km[/tex].

So, to the total distance covered is

[tex]d=d_1+d_2+d_3[/tex]

[tex]=40+21+30=91 km[/tex]

As the average speed = (Total distance covered)/(Total time taken)

So, the average speed for the whole journey

[tex]=\frac{d}{t}[/tex]

[tex]=\frac{91}{1.7}= 53.53 km/h[/tex].

Hence, the average speed for the trip is 53.53 km/h.


Related Questions

Which describes the role of oxygen in photosynthesis? *
It is a reactant, so it is released by the plant.
It is a product, so it is released by the plant.
It is a reactant, so it enters the plant.
It is a product, so it enters the plant.

Answers

Answer:

It is a product, so it is released by the plant.

Explanation:

[tex]6CO2 + 6H2O[/tex] → [tex]C6H12O6 + 6O2[/tex]

The plant uses water and carbon dioxide to create glucose and oxygen. Glucose is plant food, and Oxygen is given off as a byproduct.

Answer:

It is a product, so it is released by the plant.

Explanation:

Which statements correctly describe the properties of air? Select three options. Air has mass but no weight. Air pressure is created by the weight of the atmosphere pushing on Earth’s surface. Pressure is a measure of how tightly molecules are packed. Denser air is heavier than less dense air. Air is less dense at higher altitudes.

Answers

Answer:

Air pressure is created by the weight of the atmosphere pushing on Earth’s surface.

Denser air is heavier than less dense air.

Air is less dense at higher altitudes.

Explanation:

Based on the properties of air, the correct options from the given statements are:

Denser air is heavier than less dense airAir is less dense at higher altitudes.Air pressure is created by the weight of the atmosphere pushing on Earth’s surface

What is air?

Air is a mixture of gases in the atmosphere which consists of nitrigen, oxygen, carbon dioxide and noble gas as well as other trace partickes like water vapor.

Some properties of air include:

air is a mixture of gases Air has mass and weight.Air pressure is created by the weight of the atmosphere pushing on Earth’s surfaceDenser air is heavier than less dense airAir is less dense at higher altitudes.

Therefore, the correct options from the given statements are:

Denser air is heavier than less dense airAir is less dense at higher altitudes.Air pressure is created by the weight of the atmosphere pushing on Earth’s surface

Learn more about air at: https://brainly.com/question/441281

This man proposed that all matter was composed of atoms

Answers

Answer:

John Dalton

Explanation:

A student, who weighs 720N, is standing on a bathroom scale and riding an elevator that is moving downwards with a speed that is decreasing at a rate of 3.1m/s2.

What is the student's mass?
What is the net force on the student?
What value does the scale read?

Answers

Answer:

1) The mass of the student is approximately 73.39 kg

2) The net force on the student is approximately 947.523 N

3) The value the scale will read is approximately 96.59 kg

Explanation:

The given parameters are;

The weight of the student = 720 N

The speed at which the elevator is decreasing = 3.1 m/s²

1) The weight of the student = The mass of the student × The acceleration due to gravity

The acceleration due to gravity is a constant = 9.81 m/s²

Substituting the known values gives;

720 N = The mass of the student × 9.81 m/s²

∴ The mass of the student = 720 N/(9.81 m/s²) ≈ 73.39 kg

2) The forces acting on the student are;

i) The force of gravity which is the weight of the student acting downwards

ii) The inertia force of the slowing elevator acting downwards in the same direction as the weight of the student

The net force, [tex]F_{net}[/tex] = The weight of the student + The inertia force of the slowing elevator

∴ The net force, [tex]F_{net}[/tex] = 720 N + 73.39 kg × 3.1 m/s² ≈ 947.523 N

3) The scale will read the mass of the student as follows;

Mass reading of student on the scale = Force on scale/9.81

∴ Mass reading of student on the scale = 947.523/9.81 ≈ 96.59 kg

The value the scale will read = 96.59 kg.

The mass of student is, 73.46 kg.

The net force acting on the student is 942.72 N.

The reading of the scale is 96.70 kg

Given data:

The weight of student is, W = 720 N.

The magnitude of acceleration is, [tex]a = 3.1 \;\rm m/s^{2}[/tex].

The standard expression for the weight is,

[tex]W =mg[/tex]

Here, g is the gravitational acceleration. And m is the mass of student.

Solving as,

[tex]W =mg\\\\720 = m \times 9.8\\\\m = 73.46 \;\rm kg[/tex]

Thus, the mass of student is, 73.46 kg.

Since, the force of gravity which is the weight of the student acting downwards . The inertia force of the slowing elevator acting downwards in the same direction as the weight of the student. Then the net force is,

[tex]F_{net} = W+(ma)[/tex]

Solving as,

[tex]F_{net} = 720+(73.46 \times 3.1)\\\\F_{net}=947.72 \;\rm N[/tex]

Thus, we can conclude that the net force acting on the student is 942.72 N.

The reading of the scale is given as,

[tex]reading=\dfrac{F_{net}}{g}[/tex]

Solving as,

[tex]reading = \dfrac{947.72}{9.8}\\\\reading=96.70 \;\rm kg[/tex]

Thus, we can conclude the reading of the scale is 96.70 kg.

Learn more about the concept of gravitational acceleration here:

https://brainly.com/question/25316208

Which Box in the diagram above, should this picture go into?
Box A
ООО
O Box B
O Box C



Plzz answerr idk

Answers

What diagram? There isn’t one

b) If the voltage of the fuel cell used in a circuit is 9.0 V and the resistance of the wire used in the circuit is 560 22,
what is the current running through the circuit? Use correct units at all times!
Formula:
Calculation:
Answer:
I

Answers

Answer:

current (I)=V/R

current (I)=9.0/56022

so I=1.607×10 in the power of negative four Amperes (A)

A ship's propeller of diameter 3 m makes 10.6 revolutions in 30s. What is the angular velocity of the propeller?

Answers

Answer:

The angular velocity of the propeller is 2.22 rad/s.

Explanation:

The angular velocity (ω) of the propeller is:  

[tex] \omega = \frac{\Delta \theta}{\Delta t} [/tex]                              

Where:

θ: is the angular displacement = 10.6 revolutions

t: is the time = 30 s

[tex] \omega = \frac{\Delta \theta}{\Delta t} = \frac{10.6 rev*\frac{2\pi rad}{1 rev}}{30 s} = 2.22 rad/s [/tex]

Therefore, the angular velocity of the propeller is 2.22 rad/s.

I hope it helps you!

The angular velocity will be "2.22 rad/s".

Given:

Angular displacement,

[tex]\Theta = 10.6[/tex]

Diameter,

3 m

Time,

[tex]\Delta t = 30 \ s[/tex]

Now,

The angular velocity will be:

→ [tex]\omega = \frac{\Delta \Theta}{\Delta t}[/tex]

By putting the values, we get

       [tex]= \frac{10.6\times \frac{2 \pi rad}{1 \ rev} }{30 \ s}[/tex]

       [tex]= 2.22 \ rad/s[/tex]

Thus the response above is right.

Learn more about velocity here:

https://brainly.com/question/14370151

Why is it so important to train your core muscles?

Answers

Answer:

It helps prevents falls and supports your body. So having a strong core is beneficial to everyone because it allows your body to function properly. Improved Balance and Stability. Core exercises train the muscles in your pelvis, lower back, hips and abdomen to work together.

If you are in a car at a stop sign and then the driver
presses on the gas pedal really hard, which way is the car
accelerating?

Answers

Answer:

it wont be because the hand brake would be on

The car is accelerating forward.

what force is the total force felt by an object?

Answers

Answer:

net force

Explanation:

Net force felt by an object.

It is a push or pull and a force

Which of the following best defines speed?
A. It is an objects speed at a specific point in time
B. It is the distance traveled by an object in a specific direction
C. It is a measure of how far an object moves over a certain amount of time
D. It is the total time over the distance

Answers

D. It is the total time over the distance

Which of the following statements is true?


If a hypothesis is proven false, a mistake has been made in the experiment.

The independent variable is what changes as a result of the dependent variable.

Changes in the independent variable cause changes in the dependent variable.

Once a hypothesis is proven true, it becomes a theory and cannot be disproved.

Answers

Answer:

[tex]Changes \: in \: the \: independent \: variable \: cause \\ changes \: in \: the \: dependent \: variable.[/tex]

hey guys, l need some help! what is the weight of potatoes of mass 75 kg on the surface of the earth? (g=9.8m/s square) ans=735N l need process

Answers

Answer:

735N

Explanation:

Weight is a measurement of force.

F = Force

m = mass

a = acceleration

F = m*a

F = 75kg*9.8m/s²

F = 735N

Energy is not
1. a scalar.
2.operationally defined.
3.measured in joules.
4.created or destroyed.

Answers

Explanation:

think4

pleas! mark me s brainliest please please

I think 4 is correct

What two things must you know to describe the motion of an object? __________________________________________________________________________

Distance is _________________________________________________________________

What is the displacement of a cyclist, who travels 1 mile north, then 1 mile east, and finally 1 mile south? ___________________________

Define speed ________________________________________________________________

How do speed and velocity differ? ______________________________________________
__________________________________________________________________________

How do velocities combine? In opposite directions? ________________________________ In the same direction? ________________________________________________________

A river flows at a velocity of 3 km/h relative to the riverbank. A boat moves upstream at a velocity of 15 km/h relative to the river. What is the velocity of the boat relative to the riverbank? ___________________________________

The rate at which velocity changes is called ________________________

True or false? Acceleration is the result of increases or decreases in speed.

A horse on a carousel that is moving at a constant speed is accelerating because _________________________________________________________________________

True or false? When the final velocity is less than the initial velocity of an object, the acceleration is negative.

The total distance traveled divided by the total time is _______________________

What are some common units for speed (give at least two) _____________ ___________

Define velocity ____________________________________________________________

Define acceleration _________________________________________________________

A quantity that has both magnitude and direction is called a _________________.

WILL MARK BRAINLIEST PLEASE HELP DUE IN 2 MINS
On a distance-time graph speed is a ____________ line and thus a ____________ graph.

On a distance-time graph acceleration is a ___________ line and thus a _______________ graph.

Answers

Answer:

velocity is vector Quantity

please help

a puck moves 2.35 m/s in a -22 degree direction a hockey stick pushes it for .215 s changing its velocity to 6.42 m/s in a 50 degree direction. What is delta x?

Answers

Answer:

0.678m

Explanation:

Find: Δx

Δx = ½ (v + v₀) t

Δx = ½ (4.127 m/s + 2.179 m/s) (0.215 s)

Δx = 0.678 m

Tyler drives 50km north. Tyler then drives back 30km south. What distance did he cover? What was his displacement?

Answers

Answer:

80 km is distance and 30km north is displacement

Explanation:

distance= 50+30=80km

displacement= 50-20=30

his displacement is 30km north

When Tyler drives 50 km north and then drives back 30 km south, we have:

1. The distance that he covers is 80 km.

2. Tylor's displacement is 20 km.  

1. The distance is a scalar that is given by the sum of the kilometers traveled by Tyler as follows:

[tex] d = d_{1} + d_{2} = 50 km + 30 km = 80 km [/tex]

Hence, the distance traveled by Tyler was 80 km.

2. The displacement is a vector that depends on the direction of travel. Takin the north direction as positive we have:

[tex] x = x_{1} + x_{2} = 50 km + (-30 km) = 20 km [/tex]

Therefore, Tyler's displacement is 20 km.

You can find more about displacement and distance here: https://brainly.com/question/4307551?referrer=searchResults

I hope it helps you!            

HELP PLS HURRY !!!!!!!!!

Answers

The answer is Electrical Energy

A man has a mass of 66 kg on Earth. What is his weight in Newtons?

Answers

Answer:

answer is 66 kilograms-force = 647.2389 newtons

Explanation:

Answer:

[tex]\boxed {\boxed {\sf 646.8 \ Newtons }}[/tex]

Explanation:

Weight in Newtons can be found by multiplying the mass times the acceleration of gravity.

[tex]W=m*g[/tex]

The mass of the man is 66 kilograms on Earth.

Earth has an acceleration of gravity that is 9.8 meters per square second.

[tex]m= 66 \ kg \\g=9.8 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]W=66 \ kg *9.8 \ m/s^2[/tex]

Multiply.  

[tex]W=646.8 \ kg*m/s^2[/tex]

1 kg * m/s² is equal to 1 Newton, therefore our answer of 646.8 kg *m/s² is also equal to 646.8 Newtons, or N.

[tex]W=646.8 \ N[/tex]

The man's weight in Newtons in 646.8 Newtons.

how is force spread over long and short durations of time?

Answers

I think you're having trouble with it only because of how you're trying to look at it.

Don't try to imagine "spreading force" over time. Just think about how long the force lasts !

Like . . .

If you push your doll stroller for 5 seconds, you'll get it up to a certain speed.

Next time, if you push it again with the same force, but you keep pushing for TEN seconds, you'll get it up to a faster speed.

Technically:

(force • time) = impulse.

You gave it more impulse the second time, so it got more momentum from you.

a ball accelerate downward at 9.8 m/s2 with 1.7 of force. What is the mass of the ball?

Answers

Answer:

0.14 kg

Explanation:

m=F/a = (1.4N/9.8 m/s/s) =0.14 kg

What does it mean to influence government?

Answers

It means to pre voke

What is the mass of a man who accelerates 4 m/s2 under the action of a 300 N net force?

Answers

Answer:

F = m*a

therefore m = F / a

m = 100 / 5 = 20 kg?

hope this helped you

Explanation:

The required mass of man, undergoing the acceleration is of 75 kg.

Given data:

The magnitude of acceleration of man is, a = 4 m/s².

The magnitude of action force on the man is, F = 300 N.

Here we can apply the Newton's second law of motion, which says that the applied force causes the acceleration of any object. Where the applied force is equal to the mass of object and the magnitude of acceleration of object.

Therefore,

F = ma

Solving as,

300 = m × 4

m = 300/4

m = 75 kg

Thus, we can conclude that the mass of man, undergoing the acceleration is of 75 kg.

Learn more about the Newton's second law here:

https://brainly.com/question/19860811

Device A has a current of 0.4 A and a resistance of 3 Ω. Device B has a current of 0.6 A and a resistance of 3Ω. Which device would be more energy efficient?

Answers

Your answer would be Device A.

Answer:

Device A because it would use more voltage :D

Explanation:

Tom rides his motorcycle at a speed of 15 meters/second for an hour.
So, how far did he ride? Hint:1 hour is equal to the 60 minutes. 60 min =3600 seconds?

Answers

Answer:

1 hour to ride his motorcycle

Can someone tell me how we got this answer please like what rule should I use?

Answers

Answer:

W = V Q          energy = work / charge * charge

Q = I t            charge = current * time

V = W / (I * t)

V = 3 * 10E8 J / (1.5 * 10E4 amps * 2 * 10E-4 sec)

V = 10^8 volts

Which factors affect the gravitational force between objects? Check all that apply.
difference in speed of objects
direction of movement of objects
distance between objects
masses of the objects
volumes of the objects

Answers

Explanation:

distance between both objects and masses of the objects

Answer:

the answer is C and D

Explanation:

did it on edge

hope u have better day than me

hope this helps

In lab you submerge 100 g of iron nails at 40 0C in 100 g of water at 20 0 C. Specific heat of iron is 0.12 cal/g∙0C. Equate the heat gained by water to the heat lost by nails and show that the final temperature of water becomes 22.1 0C.

Answers

Let T be the final temperature of water and nails (iron).

Given that the initial temperature of 100 g nails, [tex]T_{1F}=40^{\circ}C[/tex].

Specific heat of the iron, [tex]C_F=0.12 cal/g^{\circ}C[/tex].

So, the heat lost by nails [tex]= mC_F(T_{1F}-T}[/tex]

[tex]=100\times 0.12 \times (40-T)\cdots(i)[/tex]

The initial temperature of 100 g water, [tex]T_{1w}=20^{\circ}C.[/tex]

Specific heat of water, [tex]C_w=1 cal/g^{\circ}C[/tex]

So, the heat gained by water [tex]= mC_w(T-T_{1w}}[/tex]

[tex]=100\times 1 \times (T-20)\cdots(ii)[/tex]

As the exergy is conserved, so

the heat lost by the nails = the heat gained by the water

From equation (i) and (ii), we have

[tex]100\times 0.12 \times (40-T)=100(T-20)[/tex]

[tex]\Rightarrow 0.12(40-T)=T-20[/tex]

[tex]\Rightarrow 0.12\times 40 -120T=T-20[/tex]

[tex]\Rightarrow 0.12T+T=4.8+20[/tex]

[tex]\Rightarrow 1.12T=24.8[/tex]

[tex]\Rightarrow T=24.8/1.12= 22.1^{\circ}C[/tex]

Hence, the final temperature of both, iron nails as well as water, become [tex]22.1^{\circ}C[/tex].

A projectile was fired from ground with 50 m/s initial velocity at 45 degree angle. How long will stay in the air? What is range? What is the maximum height the projectile?

Answers

Answer:

1. Time of flight = 7.22 s

2. Range = 255.10 m

3. Maximum height = 63.77 m

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 50 m/s

Angle of projection (θ) = 45°

Time of flight (T) =?

Range (R) =?

Maximum height (H) =?

1. Determination of the time of flight

Initial velocity (u) = 50 m/s

Angle of projection (θ) = 45°

Acceleration due to gravity (g) = 9.8 m/s²

Time of flight (T) =?

T = 2uSine θ /g

T = 2 × 50 Sine 45 / 9.8

T = 100 × 0.7071 /9.8

T = 7.22 s

2. Determination of the range.

Initial velocity (u) = 50 m/s

Angle of projection (θ) = 45°

Acceleration due to gravity (g) = 9.8 m/s²

Range (R) =?

R = u²Sine 2θ /g

R = 50² × Sine (2×45) /9.8

R = 2500 × Sine 90 /9.8

R = 2500 × 1 / 9.8

R = 255.10 m

3. Determination of the maximum height.

Initial velocity (u) = 50 m/s

Angle of projection (θ) = 45°

Acceleration due to gravity (g) = 9.8 m/s²

Maximum height (H) =

H = u²Sine²θ /2g

H = 50² × (Sine 45)² / 2 × 9.8

H = 2500 × (0.7071)² / 19.6

H = 63.77 m

Answer:

Time spent in the air is 7.22 sThe range of the projectile is 255.1 mThe maximum height of the projectile is 63.77 m

Explanation:

Given;

initial velocity of projection, u = 50 m/s

angle of projection, θ = 45°

Time spent in the air is the time of flight, given as;

[tex]T = \frac{2usin \theta}{g}\\\\T = \frac{2(50)sin (45)}{9.8}\\\\T = 7.22 \ s[/tex]

The range of the projectile is given by;

[tex]R = \frac{u^2sin(2\theta)}{g}\\\\R = \frac{u^2sin(2*45)}{g}\\\\ R = \frac{u^2sin(90)}{g}\\\\ R = \frac{u^2(1)}{g}\\\\R=R_{max} = \frac{u^2}{g} =\frac{50^2}{9.8} = 255.1 \ m[/tex]

The maximum height of the projectile is given by;

[tex]H = \frac{u^2sin^2\theta}{2g}\\\\H = \frac{(50)^2sin^2(45)}{2*9.8}\\\\H = 63.77 \ m[/tex]

how do the early efforts of women during the suffrage movement compare to the later years

Answers

The idea that women's liberation is also men's liberation arouses the awakening of feminism. In 1966 Frieden and other feminists founded the National Organization for Women. Then other women's organizations for equal rights were formed in the United States and Western Europe. These organizations sought to overturn discriminatory laws and practices that forced women to hold down their status, such as discrimination in matters of contract and property ownership, employment and wages, the treatment of wage income, and issues relating to sex and child-bearing. The growing feminist movement more broadly seeks to change social stereotypes that women are more vulnerable, passive and dependent, less rational and emotionally reactive than men. Feminism strives for greater freedom for women in the workplace and makes them financially and psychologically independent of men, if they wish. Feminists criticized society's general emphasis on women as objects of sexual desire and sought to raise women's awareness and expand their opportunities in order to achieve equality with men. Another objective of feminism is to promote women's participation in all areas of political decision-making and social life.

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