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At a harbour, a boat is standing and win...

At a harbour, a boat is standing and wind is blowing at a speed of `sqrt(2)m//sec.` due to which , the flag on the boat flutters along north`-` east. Now the boat enters in to river, which is flowing with a velocity of `2m//sec`. Due north. The boat starts with zero velocity relative to the river and its constant acceleration relative to the river is `0.2m//sec^(2)` due east. In which direction will the flag flutter at 10 seconds ?

A

south`-`east

B

south`-`west

C

`30^(@)`south of west

D

west

Text Solution

Verified by Experts

The correct Answer is:
B
`V_(w)=1hat(i)+1hat(j)`

`V=at`
`V=(0.2)10`
`=2m//sec.`
`V_(boat)=2hat(i)+2hat(j)`
`V_(w//boat)=V_(w)-V_(boat)`
`V_(w//boat)=(1hat(i)+1hat(j))-(2hat(i)+2hat(j))=-1hat(i)-1hat(j)`
So, the flag will flutter towards south`-` west.
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