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Displacement in 1-D

A swimmer can...

Question

A swimmer can swim with speed 6 km/hr in still water, a river is flowing with speed of 3 km/hr, which of the following is incorrect (width of river = 1 km)

A

Maximum speed of swimmer w.r.t ground can be 9 km/hr

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B

Minimum time require to cross river is 12 minutes.

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C

During river crossing, displacement cannot be less than 1 km

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D

Minimum speed of swimmer is 3 km/hr

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Solution

The correct option is B Minimum time require to cross river is 12 minutes.
Maximum speed of swimmer w.r.t ground = 6 + 3= 9 km/hr.
Minimum speed of swimmer = 6 - 3 = 3 km/hr.
Minimum time require to cross river = $\frac{1}{6}$ hr = 10 minutes.
Displacement can never be less than width of river which is 1 km.

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