1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aev [14]
3 years ago
13

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?
Physics
1 answer:
svet-max [94.6K]3 years ago
6 0

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

S = ut + \frac{1}{2}at^{2}  \\

Where S is distance traveled

u is the initial velocity

t is time

and a is acceleration

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

Hence,  for the first 20s

a = 1.1 m/s²; t = 20s,  u = 0 m/s

∴ S = ut + \frac{1}{2}at^{2}  \\ gives

S = (0)(20) + \frac{1}{2}(1.1)(20)^{2}

S =  \frac{1}{2}(1.1)(20)^{2}

S = 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

v = u +at

Where v is the final velocity

Hence,

v = 0 + 1.1(20)

v = 1.1(20)

v = 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

v^{2} = u^{2} + 2as

The initial velocity, u here will be the final velocity before it started slowing down

∴u = 22 m/s

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

∴ v = 0 m/s

a = -2.2 m/s² ( - indicates deceleration)

Hence,

v^{2} = u^{2} + 2as gives

0^{2} =22^{2} +2(-2.2)s

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

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,

Speed =\frac{Distance}{Time}\\

Then,

Time = \frac{Distance}{Speed}

Time = \frac{1100}{22}

Time = 50 s

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

From,

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

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

You might be interested in
A car is traveling north. can its acceleration vector ever Point South? explain​
Scrat [10]
Yes.

The acceleration vector WILL point south when the car is slowing down while traveling north

7 0
2 years ago
True or False- For resistors in series, the larger the resistance is, the larger the voltage drop that is required.​
WINSTONCH [101]

Answer:

I think its true

8 0
2 years ago
Read 2 more answers
A 1.50 kg rock is thrown up into the air from ground level, reaches a maximum height of 7.00 m, then returns to the ground. Calc
Minchanka [31]

Answer:

17.565 kgm/s

Explanation:

Momentum = mass × velocity

I = mv..................... Equation 1

But we can calculate the value of v  using the equation of motion under gravity.

v² =  u²+2gs............. Equation 2

Where u = initial velocity, s = maximum heigth, g = acceleration due to gravity.

Given: u = 0 m/s (at the maximum heigth), s = 7.0 m.

Constant: g = 9.8 m/s²

Substitute these values into equation 2

v² = 0²+ 2×7×9.8

v² = 137.2

v = √137.2

v = 11.71 m/s.

Also given: m = 1.50 kg

substitute these values into equation 1

Therefore,

I = 1.5×11.71

I = 17.565 kgm/s

3 0
2 years ago
Neuroticism, psychoticism, and extraversion are the three dominant personality traits according to
Anna71 [15]

The answer is b I just took the test

6 0
3 years ago
Read 2 more answers
Ike is at the beach watching the waves in the ocean. Ike notices that some of the waves are short. Other waves are very tall and
aniked [119]

Ike is at the beach watching the waves in the ocean. Ike notices that some of the waves are short. Other waves are very tall and come up high above the water. Two waves that are different heights because They have different amplitudes.

Answer: Option (D) is correct

Explanation:

The different heights of the waves are due to their different amplitudes. The Amplitude of a particular wave depends upon the amount of energy being carried by waves. It the waves carry more energy than their amplitude will be higher.

But if energy carried by a wave is less than the wave will have a low amplitude. The Amplitude shows the distance covered from the rest position to peak position.

3 0
3 years ago
Other questions:
  • Acceleration directed toward the center of a circular path that produces uniform circular motion is
    14·2 answers
  • A bike accelerates uniformly(from rest to a speed of 7 m/s over a distance of 40 m. Determine
    8·1 answer
  • Motivational novels for students
    7·1 answer
  • When running your engine, you cause debris, rocks and propeller blast to be directed towards people or other aircraft. Is this c
    9·1 answer
  • In a television picture tube, electrons strike the screen after being accelerated from rest through a potential difference of 27
    11·1 answer
  • When the distance between an object and a flat mirror is 5 m, the distance between the image and the mirror is a. 5 m.
    12·1 answer
  • Help plsssssssssss I write it 100 time no one answer
    15·1 answer
  • Which of the following equations represents an acid base reaction?
    12·2 answers
  • Evan drives a golf ball with an initial velocity of 49 meters per second at an angle of 16 degrees own a flat driving range. How
    14·1 answer
  • Select all the wave properties that can change how we perceive light waves.amplitudeamplitudecrestscreststimetimefrequency
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!