A light-rail train going from one station to the next on a straight section of track accelerates from rest at 1.1 m/s^2 for 20s. It then proceeds at constant speed for 1100m before slowing down at 2.2m/s^2 until it stops at the station. A) What is the distance between stations? B) How much time does it take the train to go between the stations?

Answers

Answer 1

Answer:

A) The distance between the stations is 1430m

B) The time it takes the train to go between the stations is 80s

Explanation:

First we will calculate the distance covered for the first 20s.

From one the equations of kinematics for linear motion

[tex]S = ut + \frac{1}{2}at^{2} \\[/tex]

Where [tex]S[/tex] is distance traveled

[tex]u[/tex] is the initial velocity

[tex]t[/tex] is time

and [tex]a[/tex] is acceleration

Since the train starts from rest, [tex]u[/tex] = 0 m/s

Hence,  for the first 20s

[tex]a =[/tex] 1.1 m/s²; [tex]t =[/tex] 20s,  [tex]u[/tex] = 0 m/s

∴ [tex]S = ut + \frac{1}{2}at^{2} \\[/tex] gives

[tex]S = (0)(20) + \frac{1}{2}(1.1)(20)^{2}[/tex]

[tex]S = \frac{1}{2}(1.1)(20)^{2}[/tex]

[tex]S =[/tex] 220m

This is the distance covered in the first 20s.

The train then proceeds at constant speed for 1100m.

Now, we will calculate the speed attained here

From

[tex]v = u +at[/tex]

Where [tex]v[/tex] is the final velocity

Hence,

[tex]v = 0 + 1.1(20)[/tex]

[tex]v = 1.1(20)[/tex]

[tex]v =[/tex] 22 m/s

This is the constant speed attained when it proceeds for 1100m

The train then slows down at a rate of 2.2 m/s² until it stops

We can calculate the distance covered while slowing down from

[tex]v^{2} = u^{2} + 2as[/tex]

The initial velocity, [tex]u[/tex] here will be the final velocity before it started slowing down

∴[tex]u[/tex] = 22 m/s

The final velocity will be 0, since it came to a stop.

∴ [tex]v[/tex] = 0 m/s

[tex]a = -[/tex]2.2 m/s² ( - indicates deceleration)

Hence,

[tex]v^{2} = u^{2} + 2as[/tex] gives

[tex]0^{2} =22^{2} +2(-2.2)s[/tex]

[tex]0=22^{2} - (4.4)s\\4.4s = 484\\s = \frac{484}{4.4} \\s = 110m[/tex]

This is the distance traveled while slowing down.

A) The distance between the stations is

220m + 1100m + 110m

= 1430m

Hence, the distance between the stations is 1430m

B) The time it takes the train to go between the stations

The time spent while accelerating at 1.1 m/s² is 20s

We will calculate the time spent when it proceeds at a constant speed of 22 m/s for 1100m,

From,

[tex]Speed =\frac{Distance}{Time}\\[/tex]

Then,

[tex]Time = \frac{Distance}{Speed}[/tex]

[tex]Time = \frac{1100}{22}[/tex]

Time = 50 s

And then, the time spent while decelerating (that is, while slowing down)

From,

[tex]v = u + at\\0 = 22 +(-2.2)t\\2.2t = 22\\t = \frac{22}{2.2} \\t= 10 s[/tex]

This is the time spent while slowing down until it stops at the station.

Hence, The time it takes the train to go between the stations is

20s + 50s + 10s = 80s

The time it takes the train to go between the stations is 80s


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Answers

Explanation:

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Answers

Answer:

2.33 × 10^6

hope this helps.

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it is right promise

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Answers

Answer:

P=IV.

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(1000/1000)kw×4.

1×4=4×10=40k.

WILL GIVE BRAINLIEST AND A THANKS TO FIRST CORRECT ANSWER!!!!
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Explanation:

i will give brainliest Which of the following structures are present in plant cells but absent in animal cells? Choose 1 answer: (Choice A) A Cell walls (Choice B) B Mitochondria (Choice C) C Cytosol (Choice D) D Golgi bodies

Answers

Answer:

A. cell walls

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Answer:

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Answer:

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Answers

Answer:

The speed of the bag just before it reaches the ground is 21.71 m/s.

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Answers

Answer:

0 m/s or stationary

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When the motion of a person or object is found by comparing the person or objects motion with regards to a stationary object or an object in motion, the result is the relative motion of the person or object to the stationary or moving object

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Answers

Answer:

  a = -7.29 m / s²

Explanation:

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Answers

Answer:

Hey there!

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Answer:

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(Choice D) D Bacteria

Answers

Answer:

Choice A) A Animal cell

Explanation:

Answer:

A.

Explanation:

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Answers

Explanation:

Early Atomic theory

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Dalton's atomic theory contains five basic assumptions:

All matter consists of tiny particles called atoms. Dalton and others imagined the atoms that composed all matter as tiny, solid spheres in various stages of motion.

Atoms are indestructible and unchangeable. Atoms of an element cannot be created, destroyed, divided into smaller pieces, or transformed into atoms of another element. Dalton based this hypothesis on the law of conservation of mass as stated by Antoine Lavoisier and others around 1785.

Elements are characterized by the weight of their atoms. Dalton suggested that all atoms of the same element have identical weights. Therefore, every single atom of an element such as oxygen is identical to every other oxygen atom. However, atoms of different elements, such as oxygen and mercury, are different from each other.

In chemical reactions, atoms combine in small, whole-number ratios. Experiments that Dalton and others performed indicated that chemical reactions proceed according to atom to atom ratios which were precise and well-defined.

When elements react, their atoms may combine in more than one whole-number ratio. Dalton used this assumption to explain why the ratios of two elements in various compounds, such as oxygen and nitrogen in nitrogen oxides, differed by multiples of each other.

John Dalton's atomic theory was generally accepted because it explained the laws of conservation of mass, definite proportions, multiple proportions, and other observations. Although exceptions to Dalton's theory are now known, his theory has endured reasonably well, with modifications, throughout the years.

A football coach walks 18 meters westward, then 12 meters
eastward, then 28 meters westward, and finally 14 meters
eastward.

Answers

Answer:

Displacement = 20

Direction = westward

Explanation:

Given that a football coach walks 18 meters westward, then 12 meterseastward, then 28 meters westward, and finally 14 meters

eastward.

To calculate the displacement,

Let eastward = negative

Westward = positive

Displacement = 18 - 12 + 28 - 14

Displacement = 46 - 26

displacement = 20 metre

Since the answer is positive, the direction is westward.

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Answers

Answer:

Lenses are very important for us. Without lenses even we can't imagine the world. Without lenses our life is like life without colors.

Explanation:

Lenses are used everywhere around us in car, truck, glass, headlamps etc. It is also present in the flashlight of the LED light that is used in electronic materials.

Our eyes have also most amazing lenses. When you look at ground, at sky, and staring at moon all that happen that because of our binocular lenses. Our eyes have two type of lenses that concave lenses and convex lenses.

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A ruler has a division of 1mm. You use the ruler to measure a piece of paper. You find that it is 7.4 cm wide and 8.3 cm long. What is the area of the piece of paper?

Answers

Answer:

6,142mm²

Explanation:

Given the dimension of a paper measured by a ruler as 7.4 cm wide and 8.3 cm long, the area of the paper is expressed using the area for calculating the area of a rectangle as shown;

Area of the piece of paper = Length * Width

Given length = 7.4cm

Length = 74mm (Since 10mm = 1cm)

Width = 8.3cm

Width (in mm) = 83mm

We converted to mm since the ruler used to measure has a division of 1mm.

Substituting the given values into the formula, we will have:

Area of the piece of paper = 74mm * 83mm

Area of the piece of paper = 6,142mm²

Hence, the area of the piece of paper is 6,142mm²

An object with a density of 0.85 g/cc is dropped into each of the two beakers shown below. Beaker 1 has a density of 0.5 g/cc. Beaker 2 has a density of 1 g/cc. What will happen to the object in each case?

Answers

Answer:

The object will sink in the liquid in beaker 1.

The object will float in the liquid in beaker 2

Explanation:

The density of an object relative to the density of a fluid determines if the object floats or sink in a fluid. The density of a material is the measure of the amount of mass of that material packed into a unit volume of that material.

For the beaker 1, the liquid in this beaker has a density of 0.5 g/cc, which is lesser than the density of the object (0.85 g/cc). This means that the object will add more mass than there should be to the volume of the space it displaces within the field. This results in the object sinking in the fluid.

For beaker 2, the liquid in this beaker has a density of 1 g/cc, which is more than the density of the object (0.85 g/cc). This means that the object will add less mass than there should be to the volume of the space it displaces within the field. This results in the object floating in the fluid.

Which of the following element has seven total valence electrons? Your answer: argon helium oxygen bromine

Answers

Answer:

bromine

Explanation:

Any element in the halogen group will have seven valence electrons. These elements include fluorine, chlorine, bromine, iodine, and astatine

Pls help
Qn 9,10,11

Qn 11
Answers,
a) 10g/cm3
b) 20g/cm3
c) 30g/cm3
d) 40g/cm3

Answers

Answer:

Q no. 9: a

Q no. 10: d

Q no. 11: b

A boat sailed 7 hours at speed of 80km/h

Answers

The boat traveled 560km total.

Answer:

No it’s 1,130

Explanation:

I did online

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Answers

Answer:

132

Explanation:

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