Concept explainers
For Questions 20—21, recall that the resultant V of two vectors A and B at right angles to each other is found using the Pythagorean theorem:
Calculate the speed of raindrops hitting your face when they fall vertically at 3 m/s while you're running horizontally at 4 m/s.
Magnitude of resultant velocity.
Answer to Problem 21A
Resultant velocity is,
Explanation of Solution
Given :
Velocity in raindrop in vertical direction is,
Velocity in horizontal direction is,
Formula used :
The resultant of two vectors is,
Where, R is resultant vector, A and B are two vectors which are perpendicular to each other.
Calculation :
Both velocities are represented in below figure.
Here, both velocity are perpendicular to each other.
Therefore, their resultant velocity will be,
Now, substituting the value of
Conclusion :
Therefore, resultant velocity will be equal to 5 m/s.
Chapter 5 Solutions
Conceptual Physics: The High School Physics Program
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