A person travels by car from one city to another with different constant speeds between pairs of cities. She drive 60.0 min at 100.0km/h, 5.0 min at 90.0 km/h, and 40.0 min at 60.0km/h and soends 30.0 min eating lunch and buying gas. (A) determine the average speed for the trip. (B) determine the distance between the intial and final cities alkng the route

Answers

Answer 1

Answer:

The average speed for the trip is 65.56 [tex]\frac{km}{h}[/tex] and the distance between the intial and final cities along the route is 147.5 km

Explanation:

You know:

t1= 60.0 min= 1 h v1= 100.0km/ht2= 5.0 min= 1/12 hv2= 90.0 km/ht3= 40.0 min= 2/3 hv3= 60.0km/h t4=30.0 min= 0.5 h= 1/2 hv4= 0 because she stops to eat lunch and buy gas.

Speed is a quantity that reflects the space traveled by a body in a unit of time. That is, the average velocity relates the change in position with the time taken to effect said change.

[tex]speed=\frac{change in position}{time}[/tex]

To calculate the average speed of the trip you must calculate the total distance traveled and the total time used.

The total time used for the trip is:

t= t1 + t2 + t3 + t4= 60 min + 5 min + 40 min + 30 min= 135 min= 2.25 h

The distance traveled in each stage of the trip is calculated knowing the speed in that stage and the time used by the expression:

distance= speed*time

Then:

distance1= v1*t1 = 100 km/h * 1 h= 100 kmdistance2= v2*t2 = 90 km/h * 1/12 h= 7.5 kmdistance3= v3*t3 = 60 km/h * 2/3 h= 40 kmdistance4= v4*t4 = 0 km/h * 1/2 h= 0 km

So, the total distance traveled is calculated as:

d= 100 km + 7.5 km + 40 km + 0 km= 147.5 km

Then, the average speed for the trip is:

[tex]average speed=\frac{total distance}{total time}[/tex]

[tex]average speed=\frac{147.5 km}{2.25 h}[/tex]

average speed= 65.56 [tex]\frac{km}{h}[/tex]

The average speed for the trip is 65.56 [tex]\frac{km}{h}[/tex] and the distance between the intial and final cities along the route is 147.5 km


Related Questions

A student throws a baseball upwards at an angle of 60 degrees to the horizontal. The initial horizontal and vertical components are 12.50 m/s and 21.70 m/s, respectively At position C, the ball will have a horizontal velocity of -

Answers

Answer:

12.5 m/s

Explanation:

Given that,

The initial horizontal and vertical components are 12.50 m/s and 21.70 m/s, respectively.

We need to find the horizontal velocity of the ball at position C.

It is a case of projectile motion. We know that in case of projectile motion, the horizontal velocity of the projectile remains the same while vertical velocity varies. It can be very clear that the horizontal velocity at C is 12.5 m/s.

If a net force is 0, is the force balanced or unbalanced

Answers

Answer:

It would be balanced

Explanation:

Jesse has 85 oreos. Becky has 50 less oeros than Jesse. how many oreos does Billy have if he has 20 more oreos than Becky?

Answers

Answer: 20 Oreos

Explanation:

Given the Kinetic energy formula KE= 1/2m x(v)^2 What would this formula be if it was set equal to velocity?

Answers

KE = 1/2m * v^2

V^2 = 1/2m / KE

If you wanted to further simply:

V = sqrt(1/2m / KE)

Convert to 329.2 mm (millimeter) to hm (hectometer)
Your answer

Answers

Answer:

0.003292

Explanation:

Please help!
A wooden block slides down a ramp that is 16 meters long in 4 seconds. What was the average speed of the wooden block?
A. 16 m/s
B. 20 m/s
C. 64 m/s
D. 4 m/s

Answers

Answer:D
EXPLANATION: to finde average speed you have to do d/t which in other words distance divide by Time… hope this was helpful

whats another name 4 the pilgrims.

Answers

Answer:

piglets

Explanation:

more than 3

Answer :pedestrian walker.

Explanation:

use thermal energy in a sentence.

Answers

Answer:

please mark brainliest!

Explanation:

here are a few examples-

- The heat gives off subtle infrared rays which produce thermal energy to heat the floor.

- In the space of only a few nanoseconds, a great deal of magnetic energy is converted into the thermal energy of the plasma.

- Although there have been some changes in the thermal energy in the park since 1871, there has been no appreciable diminution.

- Hence a part of what must be included in thermal energy is not simply proportional to temperature as is commonly assumed.

hope this helps !

PLEASE HELP 25 POINTS !!!!!!!!!!!!!!!! Add the following numbers and round your answer to the correct number of significant figures:

90.0 + 80 =

Show both the unrounded and rounded answer.

Answers

Answer:

90.0 + 80 = 170

2 signifigant figures

1.70 x 10^2

Pedro and Perla are grocery shopping. Pedro throws a banana at Perla to get her attention. Perla picks up a cantaloupe, which is 5 times heavier, and throws it at Pedro with the same speed that he threw the banana. How much more kinetic energy does the cantaloupe have

Answers

Answer:

The cantaloupe has a kinetic energy that is 5 times that of the banana.

Explanation:

Kinetic energy (KE) = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]

where m is the mass of the object and v its velocity.

For the banana, let its mass be represented by m and its velocity by v.

So that:

Kinetic energy of the banana = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]

For the cantaloupe, given that its mass is 5 times that of banana (5m) but has the same speed as that of banana.

Then,

kinetic energy of the cantaloupe = [tex]\frac{1}{2}[/tex] 5m[tex]v^{2}[/tex]

                                                       = [tex]\frac{5}{2}[/tex]m[tex]v^{2}[/tex]

                                                      = 5([tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex])

                                                      = 5 x kinetic energy of the banana

The cantaloupe has a kinetic energy that is 5 times that of the banana.

which non-renewable energy resources are fossil fuels? please help

Answers

Answer:

Natural gas, coal, petroleum

Explanation:

Which statement best describes how Peer review can prevent errors

Answers

Answer:

Well, there aren't any options, but I can still try to help anyway. Peer review can help immensely with finding errors in your writing. The reason being, someone else is more likely to find errors that you weren't able to spot on your own, or may have just missed. How you read also may come out differently, and based on someone else's opinion and feedback, you can change your writing to be more understandable and correct.

Explanation:

How are nuclear reactions important to the universe?Justify your answer.

pls help this is due in 15 minutes :(

Answers

Answer:

its very important in science because without atoms the universe would have not been created and our sun and our own planets

The nuclear reactions generally occurs in the deep part of the earth called the core. It is the fusion reaction which produce huge amount of energy to the universe. So the nuclear reactions important to the universe.

What is a nuclear fusion?

The process in which two lighter nuclei fuse together to form a heavier nucleus with the simultaneous release of a huge amount of energy is defined as the nuclear fusion. Some mass is always lost which is converted into energy in accordance with Einstein's equation.

It is the fusion reactions which are common in the interior of stars. The energy of our sun is believed to arise from a number of complex fusion steps. The sun is the ultimate source of energy in the universe which is due to the fusion reaction.

The nuclear reactions are responsible for the nucleosynthesis which means the formation of the elements in the universe.

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A 0.6 kg basketball moving 7.2 m/s to the right collides with a 0.04 kg tennis ball moving 22 m/ s to the left. After the collision, the tennis ball is moving 32.7 m/s to the right. What is the velocity of the basketball after the collision?

Answers

Answer:

6.49m/s

Explanation:

Given data

mass of basket ball m1=0.6kg

mass of tennis ball m2= 0.04kg

velocity of basket ball v1=7.2m/s

velocity of  tennis ball  v2=22m/s

velocity of basket ball v3=?

velocity of  tennis ball  v4=32.7m/s

we know that the expression for elastic collision is given as

m1v1+m2v2=m1v3+m2v4

substituting we have

0.6*7.2+0.04*22=0.6*x+0.04*32.7

4.32+0.88=0.6x+1.308

solving for x we have

3.892=0.6x

divide both side be 0.6 we have

x=3.892/0.6

x=6.49m/s

The velocity of the basketball after the collision is 6.49m/s

Answer:

3.6 m/s to the right

Explanation:

I gotchu

A train travels 110 km from South Bend, IN to Chicago, IL in 45 minutes. The train must continue from Chicago to Milwaukee, WI, a distance of another 150 km. In what time must it travel from Chicago to Milwaukee in order to have the same average speed as the first part of the trip?

Answers

Answer:

yes

Explanation:

mhm

if a golf ball and baseball are thrown with the same force, which will have greater acceleration?​

Answers

the golf ball
ignore this part

does using toothpast with baking soda make my teeth whiter than toothpaste without baking soda? What’s the independent variable and what’s the dependent variable. Also the constant?

Answers

Answer:

Yes using toothpaste and backing soda is whiting because Toothpaste by itself has whiting products in it which eat plaque off your enamel.

Explanation:

Unlike backing

soda it has an acid that cleans surfaces almost like bleach but safe enough to us on your teeth.

Don't use bleach on teeth it an kill you.

Which rock is a clastic rock

Answers

Clastic rocks are composed of fragments, or clasts, of pre-existing minerals and rock. A clast is a fragment of geological detritus, chunks and smaller grains of rock broken off other rocks by physical weathering.

Answer:

C/third image.

Explanation:

Clastic rocks are defined as being composed of consolidated sediments formed by the accumulation of fragments derived from preexisting rocks and transported as separate particles to their places of deposition by purely mechanical agents.

Hope this helped!

-Toshino

Gina is sitting by a stream. She sees a clam shell on the bottom of the stream. An acorn falls in the stream and floats on the water. A wooden stick also floats by. Which object that Gina saw has the greatest density? A. Wooden stick, B. Clamshell, C. Acorn, D. Water

Answers

Answer:

B. Clamshell

Explanation:

Density is defined as mass per volume. The density of an object decides whether that object will sink or float if placed in water.

An object with higher density sinks in the water while an object with less density floats in water. In the given example, Clamshell has the highest density as it sinks in the water while other objects' wooden stick and acorn float over the water.

Clamshell has the highest density than water as well because the object has more weight per unit of volume and the buoyancy force of water decreases that allow the object to sink.

Hence, the correct answer is "B. Clamshell".

Look on a periodic table. What element has the atomic number 6?

Answers

Answer:

Carbon (see below)

Explanation:

To identify an element on the period table, you can use its atomic number—or its number of protons.

The atomic number of an element is located in the upper left-hand corner of each square in the periodic table. Refer to IMAGE.A for more info.

If you look at the periodic table, you can spot carbon in the nonmetals.

Carbon's upper left-hand corner has a 6. Refer to IMAGE.B for more info.

Describe a change caused by kinetic energy as well as a change that involves potential energy

Answers

Answer:

KE= energy associated with motion

PE= energy associated with position

KE example= throwing a ball (ball moving= KE), skateboarding

PE example= dropping a book (since the book is held above the ground, it has PE)(as it falls, PE is converted to KE)

#10 Help plz ;)

If the distance between two charged objects increases, what happens to the electrostatic force between them?
(A) Increases
(B) Decreases
(C)Stays the same

Answers

Answer:

(A) Increases

Explanation:

Hope this helps ;)

In cold weather, exercise clothing should be made of a heavy material and be tight fitting to help prevent heat loss.

True
False

Answers

Answer:fda

afsd

ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

HELP GIVING BRAINLIEST

Answers

Answer:

Ok let me figure this out

Explanation:

#9 asks what is the relationship between distance and force?

The relationships between the two are of the following: if you have distance you woulnt have force, and if there was no force then there is no distance, the 2 countereact each other and balance the scale

Ok lemi figure this out...

Look at the symbol. Which component in a circuit does it represent?

A. resistor
B. switch
C. AC power source
D. DC power source

Answers

Answer:

Resistor

Explanation:

a device having a designed resistance to the passage of an electric current.

As per the symbol in the figure, the component in a circuit it represents is a resistor. Hence, option A is correct.

What is a resistor?

Electrical resistance is implemented as a circuit element by resistors, which are passive two-terminal electrical components. Resistors are devices that are used in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, biasing active components, and terminating transmission lines.

As parts of motor controllers, power distribution networks, or even as for that for generators, rising resistors that really can dissipate several watts of electrical energy as heat may be used. When operating at a given temperature, time, or voltage, a fixed resistor's resistance only minimally varies.

In addition to being utilized as circuit element adjusters, variable resistors can also be used as sensors for chemical, force, heat, light, and humidity activity. Electronic equipment is rife with resistors, which are common components of electronic circuits and electrical networks.

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Consider a person of weight W standing in an elevator that is accelerating downward. An upward force N is exerted by the elevator floor on the person.
The relationship between N and W is
1. More information is needed.
2. N 3. N=W.
4. N>W.

Answers

Answer:

An upward force N is exerted by the elevator floor on the person. The relationship between N and W is 1. ... N = W .

Explanation:

The relationship between N and W is ,  [tex]N=W[/tex]

Since,  Person of weight W standing in an elevator that is accelerating downward. An upward force N is exerted by the elevator floor on the person.

From Newton's third law ,  It states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction.

Therefore,  weight of person W and upward force N exerted by elevator floor must be equal.

  So that,           [tex]N=W[/tex]

Thus, option 2 is correct.

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four reasons for launching a satellite into orbit around earth

Answers

To prove the earth is not flat to people

If an object is moving at 4 m/s in the x-direction, and 2 m/s in the y-direction, what is the velocity of the object written in terms of standard basis vectors?

Answers

Answer:

V = 4i^ + 2j^

Explanation:

We are given;

Velocity in the x-direction; V_x = 4 m/s

Velocity in the y-direction; V_y = 2 m/s

Now, in terms of standard basis vectors, we normally write the resultant velocity as;

V = (V_x)i^ + (V_y)j^

Thus, the resultant velocity is;

V = 4i^ + 2j^

What is the mass of 1 cm³ of water

Answers

Answer:

approximately one gram

The mass of one cubic centimetre of water at 3.98 °C (the temperature at which it attains its maximum density) is closely equal to one gram. The basic unit of measurement for mass in the metric system; one cubic centimeter of water has a mass of approximately one gram.

Answer:one gram

Explanation:

Why does a balloon when robbed on a wall sticks to the wall

Answers

Answer:

static electricity

Explanation:

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