A river has a steady speed of 0.570 m/s. A student swims upstream a distance of 1.00 km and swims back to the starting point. (a) If the student can swim at a speed of 1.00 m/s in still water, how long does the trip take? s (b) How much time is required in still water for the same length swim?

A river has a steady speed of 0.570 m/s. A student swims upstream a distance of 1.00 km and swims back to the starting point. (a) If the student can swim at a speed of 1.00 m/s in still water, how long does the trip take? s (b) How much time is required in still water for the same length swim?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

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A river has a steady speed of 0.570 m/s. A student swims upstream a distance of 1.00 km and swims back to the starting point.

(a) If the student can swim at a speed of 1.00 m/s in still water, how long does the trip take?
s

(b) How much time is required in still water for the same length swim?

Expert Solution

Step 1

Given :

Steady speed of the river, v_R = 0.57 m/s

Distance travelled, d = 1 km

Speed of the student in still water, v_s= 1 m/s

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