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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.

Bryan Babia Decena , 11 Years ago

Grade

2 Answers

Jitender Singh

Last Activity: 11 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

Last Activity: 11 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)