
Concept explainers
(a)
The direction and distance the person should travel to reach the starting point.
(a)

Answer to Problem 123P
The person has to walk
Explanation of Solution
Draw the vector diagram showing the displacements of the person.
Represent the displacements of person as vectors. Let west direction is taken as -ve x-direction, east direction as +ve x-direction, north as +y-axis and south as -ve y-axis.
Express 2.00 km in west direction as a vector.
Express 5.00 km in south-west direction as a vector.
Express 1.00 km in north-west direction as a vector.
The net displacement is given by the vector addition.
Here,
Rewrite the above equation by substituting the equations for
Write the equation to find the magnitude of
Here,
Write the equation to find the direction of
Here,
Conclusion:
Substitute
Substitute
Thus, the person has to walk
(b)
The time taken by the person to reach starting from the final point at the speed of
(b)

Answer to Problem 123P
Time taken will be
Explanation of Solution
Write the equation to find the time taken.
Here,
Conclusion:
Substitute
Here, the time taken will be
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Chapter 3 Solutions
COLLEGE PHYSICS-CONNECT ACCESS
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