5. A man rides a jet boat with a speed of 40 km/hr in the north-east direction and the shore line make angle of 10° south of east. Find the component of the velocity of the jet boat
i ) along the shoreline,
(ii) perpendicular to the shoreline,
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ANSWER:
The component of the velocity of the jet boat
GIVEN:
TO FIND:
The component of the velocity of the jet boat
EXPLANATION:
(i)The component of the velocity of the jet boat along the shoreline.
( Refer attachment 1 )
The component of the velocity of the jet boat along the shoreline is
= velocity of boat = 40 kmph
Cos 55° = 0.57
The component of the velocity along the shoreline = 22.8 kmph.
(ii)The component of the velocity of the jet boat perpendicular to the shoreline.
( Refer attachment 2 )
The component of the velocity of the jet boat perpendicular to the shoreline
= velocity of boat = 40 kmph
Sin 55° = 0.82
(ii)The component of the velocity along the shoreline = 32.8 kmph.