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A swimmer velocity in still water is 5 km/hr. A boat is going upstream with velocity of 12 km/hr (still water). Velocity of river is 2 km/hr. Find the direction and magnitude of velocity swimmer appeared to boat man. Swimmer is swimming across the river. Please answer properly.

A swimmer velocity in still water is 5 km/hr. A boat is going upstream with velocity of 12 km/hr (still water). Velocity of river is 2 km/hr. Find the direction and magnitude of velocity swimmer appeared to boat man. Swimmer is swimming across the river.
Please answer properly.

Grade:12th pass

1 Answers

Vanshika
17 Points
5 years ago
The man swims perpendicular to flow of river.
                 Speed of man    = 5 kmph w.r.t. Water.
                   II        II. water   = 2 kmph
 
   The vector component of downstream --------> added to both boatman and swimmer. While finding relative velocity, velocity of swimmer and boatman can be nullified.
 
 Relative velocity of swimmer wrt boatman.
 
                   = velocity of swimmer - V of boatman     (vector subtraction)
 
Angle between 2 vectors -----------> 90 degree 
Magnitude ----------> √ 5 sq. + 12 sq. = √ 169 = 13 kmph
 
                    Direction = tan^ -1 (12/5) to flow of water.

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