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The speed of the last car as it passes the worker
Answer to Problem 63GP
Given:
For front car of the train:
Initial velocity of the front car as the train start
Final velocity of the front car as it reaches the worker
Initial position of front car as the train starts
Final position of front car as it reaches the worker
Acceleration of the train
For last car of the train when front car is at the location of the worker:
Initial velocity of the last car as front car passes the worker
Final velocity of the last car as it passes the worker
Initial position of last car as front car passes the worker
Final position of last car as it reaches the worker
Acceleration of the train
Formula Used:
Final position during accelerated motion of an object is given as
Calculation:
Consider the motion of the front car:
Final position of the front car at the position of worker is given as
Substituting the values
Consider the motion of the last car:
Final position of the last car at the position of worker is given as
Substituting the values
Conclusion:
Therefore, speed of last car is
Explanation of Solution
Given:
For front car of the train:
Initial velocity of the front car as the train start
Final velocity of the front car as it reaches the worker
Initial position of front car as the train starts
Final position of front car as it reaches the worker
Acceleration of the train
For last car of the train when front car is at the location of the worker:
Initial velocity of the last car as front car passes the worker
Final velocity of the last car as it passes the worker
Initial position of last car as front car passes the worker
Final position of last car as it reaches the worker
Acceleration of the train
Formula Used:
Final position during accelerated motion of an object is given as
Calculation:
Consider the motion of the front car:
Final position of the front car at the position of worker is given as
Substituting the values
Consider the motion of the last car:
Final position of the last car at the position of worker is given as
Substituting the values
Conclusion:
Therefore, speed of last car is
Chapter 2 Solutions
Physics: Principles with Applications
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