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the westward and southward components of the velosity of a ship are 6.7 knots and 12.5 knots respectively. find the speed of the ship and the direction in which it is sailing.

the westward and southward components of the velosity of a ship are 6.7 knots and 12.5 knots respectively. find the speed of the ship and the direction in which it is sailing.

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2 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
8 years ago
Ans:
Velocity in west direction:
v_{w} = 6.7 knots
Velocity in south direction:
v_{s} = 12.5 knots
Speed of ship:
S = \sqrt{v_{w}^{2}+v_{s}^{2}}
S = \sqrt{6.7^{2}+12.5^{2}}
S = \sqrt{201.14} = 14.182
Direction:
Moving at an angle w.r.t to west
tan^{-1}(\frac{125}{67})




Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
8 years ago
for he westward and southward components of the velosity of a ship are 6.7 knots and 12.5 knots respectively.the speed of sheep is sqrt (6.72+ 12.52) and the direction is tan-1(6.7/12.5)

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