A motorboat is racing towards the north at 25 kmh-1 and the water current in that region is 10 kmh-1 in the direction of 600 east of south. The resultant velocity of the boat is: (a) 11 kmh-1 (b) 22 kmh-1 (c) 33 kmh-1 (d) 44 kmh-1

Given,

velocity of the water current vc = 10 km/h

velocity of the motorboat vb = 25 km/h

Angle between north and south east = 1800 – 600 = 1200

Resultant velocity of the boat is

We get,

vR = 22 km/h-1

Therefore,

The resultant velocity of the boat is 22 km/h-1

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