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2. (25%) Relative Motion Problem: A swimmer crosses a river flowing at 4 milesper hour from east to west, and is 1000 yards wide, by swimming at aconstant velocity of 2 miles/hour from north to south, that is, at right angles tothe riverbank.a. What is the magnitude an direction (angle) of the velocity vector(expressed in m/s) of the swimmer relative to an observer sitting onthe shore precisely at the location where the swimmer started? Note:Convert all variables to the metric (mks) system before performing yourcalculations.b. How far downstream (distance) will the swimmer’s landing point befrom the starting point (expressed in m)?

2. (25%) Relative Motion Problem: A swimmer crosses a river flowing at 4 milesper hour from east to west, and is 1000 yards wide, by swimming at aconstant velocity of 2 miles/hour from north to south, that is, at right angles tothe riverbank.a. What is the magnitude an direction (angle) of the velocity vector(expressed in m/s) of the swimmer relative to an observer sitting onthe shore precisely at the location where the swimmer started? Note:Convert all variables to the metric (mks) system before performing yourcalculations.b. How far downstream (distance) will the swimmer’s landing point befrom the starting point (expressed in m)?

Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 46CP: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...
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2. (25%) Relative Motion Problem: A swimmer crosses a river flowing at 4 miles
per hour from east to west, and is 1000 yards wide, by swimming at a
constant velocity of 2 miles/hour from north to south, that is, at right angles to
the riverbank.
a. What is the magnitude an direction (angle) of the velocity vector
(expressed in m/s) of the swimmer relative to an observer sitting on
the shore precisely at the location where the swimmer started? Note:
Convert all variables to the metric (mks) system before performing your
calculations.
b. How far downstream (distance) will the swimmer’s landing point be
from the starting point (expressed in m)?

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