Concept explainers
To find: the speed of the train that is moving away from the observer 4 seconds after it passes through the intersection.
Answer to Problem 3QQ
The speed of the train is 57.60 m/s.
Explanation of Solution
Given information:
An observer is standing 70 meters south of a railroad crossing.
He watches an eastbound train travelling at 60m/s.
Calculation :
We have to find the speed of the train that is moving away from the observer 4 seconds after it passes through the intersection.
Therefore,
Use Pythagoras theorem,
Differentiate with respect to t .
Putting the value of
Hence, the speed of the train is 57.60 m/s.
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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