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
Crank
3 years ago
6

A subway train starts from rest at a station and accelerates uniformly at 1.8m/s^2 for 15 sec. then it runs at a constant speed

for the next 35 sec. before decelerating at 2.0m/s^2 until it comes to rest at the next station. FIND THE DISTANCE between the stations and the AVERAGE SPEED of the train.
(please show step by step and the formula that is used. Thank you!)

Physics
1 answer:
miv72 [106K]3 years ago
8 0
This looks so scary just because there are so many parts to it.
Take them one at a time:

<u>First piece:</u>
From rest, accelerates 1.8 m/s² for 15 sec.
Speed at the end of the 15 sec = 1.8 x 15 = 27 m/s
Distance covered = (average speed) x (time) = (13.5) x (15) = 202.5 meters

<u>Middle piece:</u>
Starts this piece at 27 m/s.
Runs at constant speed for 35 sec.
Covers (27 x 35) = 945 meters
Finishes this piece (15 + 35) = 50 seconds after leaving the first station
Finishes this piece (202.5 + 945) = 1147.5 meters from the first station.

<u>Last piece:</u>
Starts this piece 50 seconds after leaving the first station,
         1147.5 meters from it, still moving at 27 m/s.
Decelerates at 2.0 m/s² .
--> It takes 27/2.0 = 13.5 seconds to come to a stop.
--> Distance covered during this piece = (average speed) x (time)
           = (13.5 m/s) x (13.5 sec) = 182.25 meters
Finishes this piece (50 + 13.5) = 63.5 seconds after leaving the first station
Finishes this piece (1147.5 + 182.25) = 1,329.75 m from the first station  

Distance between the stations (along the track) = 1,329.75 meters.

Average speed = (total distance) / (total time) = 1,329.75 / 63.5 = 20.941 m/s.

I sure hope I didn't make any stupid arithmetic blunders here,
because I really don't feel like going back and checking it.
Let me know, and I'll fix them.


You might be interested in
The force of gravity typically acts in a downward direction on the object on earth when an object is standing still, on the flat
Alja [10]
The normal force acts to counter the gravitational force, that is the upward direction.
5 0
3 years ago
Jorge asked, "Where are the apples?" Which sentence revises the sample sentence to the indicative mood? Where are the apples? Jo
ipn [44]

Answer:

Jorge wanted to know where the apples were

Explanation:

Ya see, I don't want to explain, cuz I guessed. Also I'm on episode 499 of naruto so yeah

8 0
2 years ago
Read 2 more answers
Acceleration due to gravity is stated as a constant which is given 9.8 m/s2. Many scientists have planned and design experiments
stich3 [128]
The answer is 98.1 m/s2.
3 0
3 years ago
The density of a substance equals its mass divided by its volume. Talia listed the density of some common materials at 20 °C.
Zolol [24]

Answer:

mercury

Explanation:

6 0
3 years ago
Read 2 more answers
A magnetic field is decreasing in strength. According to Lenz's law, what prediction can be made about the magnetic field it ind
lesya692 [45]

Answer:

Did you ever get the answer?

Explanation:

8 0
3 years ago
Other questions:
  • Consult Multiple Concept Example 10 in preparation for this problem. Traveling at a speed of 15.4 m/s, the driver of an automobi
    9·1 answer
  • Select the correct answer.
    14·2 answers
  • Please check my answers: The voltage across a 10-ohm resistor carrying 3 amps must be? I got 30 volts-v=?, I=3 amps, R= 16 ohm.
    9·1 answer
  • What do you call the process of finding the magnitude of fy
    12·2 answers
  • Physical science question please help
    11·1 answer
  • How is energy transformed in a car? A car has gasoline or ________ energy (which is a form of potential energy). When the fuel i
    8·2 answers
  • A freight train is accelerating on a level track. The tension in the coupling between the engine and the first freight car would
    14·1 answer
  • The objects in the inner part of our solar system are composed mostly of
    9·1 answer
  • E) The number of moles of each gas produced at the electrodes is the same.
    15·1 answer
  • The momentum of the moving depends on which among the given factors?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!