Concept explainers
Sketch the graph of the traveller and time taken for the trip.
Answer to Problem 78P
The graph of the traveller is drawn and the time taken for the trip is
Explanation of Solution
The figure below shows the velocity versus time graph of the traveller.
The total distance between the stations is
Write the expression to calculate the initial velocity.
Here, u is the velocity, a is the acceleration for the first level and t is the time taken.
Substitute
Write the expression to calculate the distance travelled in first level.
Here,
Substitute
Write the expression to calculate the distance travelled in third level.
Here,
Substitute
Write the expression to calculate the time taken in third level.
Here,
Substitute
Write the expression to calculate the distance covered in second level.
Here,
Substitute
Write the expression to calculate the time taken in second level.
Here,
Substitute
Write the expression to calculate the total time taken for the trip.
Here,
Substitute
Conclusion:
Therefore, the graph of the traveller is drawn and the time taken for the trip is
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