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As two boats approach the Mumbai, the velocity of boat I relative to boat 2 is 103 kmhr-1 in a direction of 60o north of east. If boat 2 has a velocity of l5 kmhr-1 due south. What is the velocity of boat 1 ?

a
53 krnhr-1 due south-east
b
5 knhr-1 due east
c
l0 kmhr-1 due north
d
53 kmhr-1 due east

detailed solution

Correct option is D

v→12=v→1−v→2⇒v→1=v→2+v→12Here, v→12=103cos⁡60∘i^+sin⁡60∘j^=53i^+15j^⇒ v→1=v→2+v→12=(−15j^)+(53i^+15j^)=53i^⇒ v→1=53km/hr due east.

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