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Q.

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 ?

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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

answer is D.

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Detailed Solution

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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