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Question

# A motor boat is to reach at a point 30o upstream (w.r.t. normal) on other side of a river flowing with velocity 5m/s_ The angle 30o is measured from a direction perpendicular to river flow. Velocity of motorboat with respect to water is 5√3m/s. The driver should steer the boat at an angle

A
120o with respect to stream direction.
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B
30o with respect to tie perpendicular to the bank.
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C
30o with respect to the line of destination from starting point.
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D
None of these
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Solution

## The correct options are A 120o with respect to stream direction. C 30o with respect to the line of destination from starting point.KinematicsVmw = relative velocity of boat with respect to water¯vm=−(5√3cosθ)i+5√3cos30j+5itaking i– direction parallel to river flow and j– direction l–lar to river flow^vm=−7.5i+5√32j+5^i^vm=−2.5i+5√32j=tan−1[−5√32×2.5]=tan−1(−√3)=120o stream direction velocity of boat →vm=vmw+vw

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