Concept explainers
(a)
To Find:The time taken to make a trip of
(a)
Answer to Problem 65GP
Explanation of Solution
Given:
Acceleration of the train,
Speed of the train,
Deacceleration of the train,
Stoppage time at each station,
Initial speed of train,
Distance between the stations,
Formula used:
Third equation of motion:
First equation of motion:
Where,
Calculation:
There are total 6 stations including initial and final, therefore, there are 4 intermediate stations at which train stops.
Total stoppage time:
Distance travelled by train during acceleration can be calculated by third equation of motion:
Time taken by train during acceleration:
Distance travelled by train during deacceleration can be calculated by third equation of motion:
Time taken by train during deacceleration:
Distance travelled by train during constant speed:
Time taken by train during constant speed:
Total time between two stations:
Total trips of the train are 5, therefore total time of journey:
Conclusion:
Hence, the time taken to make a trip of
(b)
To Find: The time taken to make a trip of
(b)
Answer to Problem 65GP
Explanation of Solution
Given:
Acceleration of the train,
Speed of the train,
Deacceleration of the train,
Stoppage time at each station,
Initial speed of train,
Distance between the stations,
Formula used:
Third equation of motion:
First equation of motion:
Where,
Calculation:
There are total 4 stations including initial and final, therefore, there are 2 intermediate stations at which train stops.
Total stoppage time:
Distance travelled by train during acceleration can be calculated by third equation of motion:
Time taken by train during acceleration:
Distance travelled by train during deacceleration can be calculated by third equation of motion:
Time taken by train during deacceleration:
Distance travelled by train during constant speed:
Time taken by train during constant speed:
Total time between two stations:
Total trips of the train are 3, therefore total time of journey:
Conclusion:
Hence, the time taken to make a trip of
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