A motorboat travelling at 10m/s due North, encounters a current travelling at 5m/s due East. Find the magnitude of relative velocity of boat with respect to the current.
A
10√2m/s
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B
5√5m/s
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C
10√5m/s
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D
5√10m/s
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Solution
The correct option is B5√5m/s
Let →Vb=10^j and →Vc=5^i be the velocities of boat and current respectively.
By definition, →Vbc=→Vb−→Vc=10^j−5^i=−5^i+10^j |→Vbc|=√102+52=5√5m/s