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Answers
Answer:According to me the answer will be 6.25 m/sec or 22.5 Km/hour
Explanation:As the ship moves toward east with velocity 30 km/h or 8.33m/sec .
and the wind blows to the equator from southeast to ship with an angle 60° with a velocity 15 km/ h or 4.167 m /sec.
the velocity component in the direction of the ship will be 4.167Cos60°
=2.083
Now relative velocity = 8.33 - 2.083 ≈ 8.25 m/sec
Explanation:
Horizontal component of wind velocity = v - v₀ cos ∅
Vertical component of wind velocity = v₀ sin∅
Wind speed relative to ship :
= √(v - (-v₀ cos∅))² + (v₀sin∅)²
= √v² + v₀² + 2vv₀cos∅
Given,
v₀ = 30 km/hr, v = 15 km/hr.
Relative speed:
= √900 + 225 + 2 * 30 + 15 * cos60°
= √1575
= 39.7 km/hr
Now,
Angle that relative velocity makes:
= tan⁻¹(15 * sin 60°)/(30 + 15 cos 60°)
= tan⁻¹(15√3/2)/(30 + 1/2)
= tan⁻¹(15√3/2)/(61/2)
= √3/5
= 19.1°
Therefore,
Wind velocity = 39.7 km/hr and
angle = 19.1°.
Hope it helps!