Question

A swimmer makes his strokes perpendicular to the flow of river at speed 8 metre per second relative to still water. he arrives at a point 20 metre downstream from the point directly across the river which is 40 metre wide. the velocity of the swimmer with respect to ground will be

Answer 1

The velocity of the swimmer with respect to ground is Vm = 4 √ 5 m/s.

Explanation:

Speed of swimmer = 8 m/s

VR = Horizontal component of velocity ( Velocity of swimmer with respect to ground)

Vm = slope of the velocity

t = 40 / 8 = 5 m/s

VR = 0 / 5 = 4 m/s

V(m) = vmR + vR

|V(m)|^2  =  (8)^2 + (4)^2

|V(m)|^2 = 64 + 16

|V(m)|^2 = 80

Taking square root on both sides.

Vm = 4 √ 5 m/s

Hence the velocity of the swimmer with respect to ground is Vm = 4 √ 5 m/s.

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