A river is flowing due east with a speed 3m/s. A swimmer can swim in still water at a speed of 4 m/s .
(a) If swimmer starts swimming due north, what will be his resultant velocity (magnitude and direction)?
(b) If he wants to start from point A on south bank and reach opposite point B on north bank,
(a) which direction should he swim?
(b) what will be his resultant speed?
(c) From two different cases as mentioned in (a) and (b) above, in which case will he reach opposite bank in shorter time?

A river is flowing due east with a speed 3m/s. A swimmer can swim in still water at a speed of 4 m/s .
(a) If swimmer starts swimming due north, what will be his resultant velocity (magnitude and direction)?
(b) If he wants to start from point A on south bank and reach opposite point B on north bank,
(a) which direction should he swim?
(b) what will be his resultant speed?
(c) From two different cases as mentioned in (a) and (b) above, in which case will he reach opposite bank in shorter time?

This is a Long Answer Type Questions as classified in NCERT Exemplar
Explanation – speed of river Vr= 3m/s
Speed of swimmer Vs= 4m/s
(a) when swimmer starts swimming due north then its resultant velocity
V=
tan so 'N

(b) to reach at point B resultant velocity will be
V=
tan

(c) time taken by swimmer
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Physics Ncert Solutions Class 12th 2023
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